Paper Citation Record · LEDGER

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting

As of 10 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2507.07428.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.07428 v3

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:00:01.117483Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T16:40:13.841615Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-09T06:36:02.183597Z

Reference resolution

39 of 39 outbound references displayed

verified exact1
verified fuzzy36
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84bd9b61-4bfe-4121-a99b-2b11ed45fd7e · outbound

This paper cites Splitting the Forward-Backward Algorithm: A Full Characterization.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Splitting the Forward-Backward Algorithm: A Full Characterization

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T18:59:58.625389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d86f3db5-63f0-440a-878b-123be30b2112 · outbound

This paper cites Forward-backward algorithms devised by graphs.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Forward-backward algorithms devised by graphs

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T18:59:58.726205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a232b934-9177-4dd3-b7be-38dbc4c1813f · outbound

This paper cites On Opial's Lemma.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting On Opial's Lemma

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T19:00:01.271134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation df9b7329-b6ea-479b-87c5-224263d63452 · outbound

This paper cites Understanding the Douglas–Rachford splitting method through the lenses of Moreau-type envelopes.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Understanding the Douglas–Rachford splitting method through the lenses of Moreau-type envelopes

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.989036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fc385528-d771-4b44-a6c8-557c96d610f7 · outbound

This paper cites Bauschke and P.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Bauschke and P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.974265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b41cbf6b-50c2-4355-9f34-c3cf1dec64ec · outbound

This paper cites Bhatia.Perturbation Bounds for Matrix Eigenvalues.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Bhatia.Perturbation Bounds for Matrix Eigenvalues

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.958333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 80d5783e-3cb7-4e45-8ee0-0d156b7dddf0 · outbound

This paper cites Degenerate preconditioned proximal point algorithms.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Degenerate preconditioned proximal point algorithms

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.944171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 988bddb2-9657-49a0-968d-ba0d8ca0e2af · outbound

This paper cites Graph and distributed extensions of the Douglas– Rachford method.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Graph and distributed extensions of the Douglas– Rachford method

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.927961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bed97abd-dce8-4fba-8bb7-11d33fb76b87 · outbound

This paper cites Semicontractive and semiaccretive nonlinear mappings in Banach spaces.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Semicontractive and semiaccretive nonlinear mappings in Banach spaces

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.910563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0202f989-0dcf-44e3-b3d0-7fc6ff1a2522 · outbound

This paper cites Regular sequences of quasi-nonexpansive operators and their applications.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Regular sequences of quasi-nonexpansive operators and their applications

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.893952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation edc7c38c-8022-4863-a1f8-07718be06c4a · outbound

This paper cites Quasi-Fej ´erian analysis of some optimization algorithms.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Quasi-Fej ´erian analysis of some optimization algorithms

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.879136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5d70e157-ccb9-4daf-8e5e-c058cf49cd8e · outbound

This paper cites Adaptive Douglas–Rachford splitting algorithm for the sum of two operators.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Adaptive Douglas–Rachford splitting algorithm for the sum of two operators

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.864631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a6ecd695-a85f-443e-9a23-54acc7bc88e3 · outbound

This paper cites A general approach to distributed operator split- ting.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting A general approach to distributed operator split- ting

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.849456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bd8bcf4b-ef5c-4b39-85ca-45a0b6479e14 · outbound

This paper cites A three-operator splitting scheme and its optimization applications.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting A three-operator splitting scheme and its optimization applications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.835254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a589a1ed-ab10-4094-abaa-c8b04d2f4d2a · outbound

This paper cites On the numerical solution of heat conduction problems in two and three space variables.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting On the numerical solution of heat conduction problems in two and three space variables

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.821012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b288788f-f4da-4c89-8184-95b2c14e8c1a · outbound

This paper cites From perspective maps to epigraphical projections.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting From perspective maps to epigraphical projections

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.805625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d2a23cfb-d59d-4ed4-b9f6-e90c816785d0 · outbound

This paper cites On the convergence of the proximal point algorithm for convex minimization.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting On the convergence of the proximal point algorithm for convex minimization

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.790288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8d6409ad-e0b7-4cf7-8bad-0aa5d26691e9 · outbound

This paper cites Horn and C.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Horn and C

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.775296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2cf9cbb6-1953-4e4c-a03c-f752511a3feb · outbound

This paper cites Douglas–Rachford splitting for nonconvex optimization with appli- cation to nonconvex feasibility problems.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Douglas–Rachford splitting for nonconvex optimization with appli- cation to nonconvex feasibility problems

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.760899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 095accf2-de09-4963-935c-a4c3478432aa · outbound

This paper cites Survey: sixty years of Douglas–Rachford.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Survey: sixty years of Douglas–Rachford

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.745556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8def6753-6986-4d56-b9ea-e3a35825e28e · outbound

This paper cites Splitting algorithms for the sum of two nonlinear operators.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Splitting algorithms for the sum of two nonlinear operators

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.729908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1dd919ac-b2e7-44b3-bf6f-c3a5847d9c97 · outbound

This paper cites The degenerate variable metric proximal point algorithm and adaptive stepsizes for primal–dual Douglas–Rachford.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting The degenerate variable metric proximal point algorithm and adaptive stepsizes for primal–dual Douglas–Rachford

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.714322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b7d2781a-cc59-4c40-98f1-4dbc2049597b · outbound

This paper cites Non-stationary Douglas–Rachford and alternating direc- tion method of multipliers: adaptive step-sizes and convergence.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Non-stationary Douglas–Rachford and alternating direc- tion method of multipliers: adaptive step-sizes and convergence

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.699372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5a95b962-1f37-439b-8cdc-76b7bb077fce · outbound

This paper cites A forward-backward splitting method for monotone inclusions without cocoercivity.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting A forward-backward splitting method for monotone inclusions without cocoercivity

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.682995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3a2307d2-2d08-483b-b5b4-d96b89032227 · outbound

This paper cites Resolvent splitting for sums of monotone operators with mini- mal lifting.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Resolvent splitting for sums of monotone operators with mini- mal lifting

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.666766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a3239564-4d0f-445a-9c91-576a41423cd0 · outbound

This paper cites Monotone (nonlinear) operators in Hilbert space.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Monotone (nonlinear) operators in Hilbert space

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.653577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e203b628-60db-4524-9f87-c4ecc8c5d8c1 · outbound

This paper cites A quantitative Robbins-Siegmund theorem.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting A quantitative Robbins-Siegmund theorem

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.640040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 82efb79f-e7c3-494c-a347-916369dcc3ce · outbound

This paper cites Weak convergence of the sequence of successive approximations for nonexpansive mappings.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Weak convergence of the sequence of successive approximations for nonexpansive mappings

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.626764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 81de8ce6-5089-4e0c-97b0-188781efc0e1 · outbound

This paper cites Adaptive three operator splitting.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Adaptive three operator splitting

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.613209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5c0b5127-3bea-4d03-9cdf-084af066b777 · outbound

This paper cites Peypouquet.Convex Optimization in Normed Spaces: Theory, Methods and Examples.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Peypouquet.Convex Optimization in Normed Spaces: Theory, Methods and Examples

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.599932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 39618926-01b7-4b34-a01e-9921058be1fd · outbound

This paper cites Linear convergence of the Douglas–Rachford method for two closed sets.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Linear convergence of the Douglas–Rachford method for two closed sets

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.586979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 26c335dc-d522-4dd5-925b-5eb24bc4eb60 · outbound

This paper cites Polyak.Introduction to Optimization.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Polyak.Introduction to Optimization

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.573830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6cc2869d-ec4b-4dfa-bf2b-2301c6524ce3 · outbound

This paper cites A convergence theorem for non negative almost super- martingales and some applications.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting A convergence theorem for non negative almost super- martingales and some applications

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.559759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 57e10495-291c-40b8-b4a2-f1c66bdeb551 · outbound

This paper cites On the virtual convexity of the domain and range of a nonlinear maximal monotone operator.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting On the virtual convexity of the domain and range of a nonlinear maximal monotone operator

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.545230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation dfbada4f-0ff0-44c7-888a-ff594c0c1cab · outbound

This paper cites Uniqueness of DRS as the 2 operator resolvent-splitting and impossibility of 3 operator resolvent-splitting.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Uniqueness of DRS as the 2 operator resolvent-splitting and impossibility of 3 operator resolvent-splitting

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.529213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a44ca3ed-6c08-407d-b950-869d7c2b636f · outbound

This paper cites On weak convergence of the Douglas–Rachford method.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting On weak convergence of the Douglas–Rachford method

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.513907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e314b731-0a7a-402b-8afe-764e7e85f882 · outbound

This paper cites Frugal and decentralised resolvent splittings defined by nonexpansive opera- tors.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Frugal and decentralised resolvent splittings defined by nonexpansive opera- tors

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.499150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d6994d59-41d8-4a04-8190-e9e1ac241848 · outbound

This paper cites Douglas–Rachford splitting and ADMM for nonconvex opti- mization: Tight convergence results.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Douglas–Rachford splitting and ADMM for nonconvex opti- mization: Tight convergence results

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.480780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 34366c26-308a-466b-884e-5c4b96ee9cc5 · outbound

This paper cites Projections on convex sets in Hilbert space and spectral theory: Part I. projections on convex sets: Part II. spectral theory.

Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting Projections on convex sets in Hilbert space and spectral theory: Part I. projections on convex sets: Part II. spectral theory

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:00:01.422695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation 51472b9d-8bc9-4f69-bc20-34d902494155 · inbound

Linear convergence of relocated fixed-point iterations cites this paper.

Linear convergence of relocated fixed-point iterations Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T16:40:13.841615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3877441-be19-401a-a87b-07de9c5abb69 · inbound

Convergence Analysis of the Restarted Moving-Anchored Extra-Gradient Method in the Absence of Local Lipschitz Continuity cites this paper.

Convergence Analysis of the Restarted Moving-Anchored Extra-Gradient Method in the Absence of Local Lipschitz Continuity Relocated Fixed-Point Iterations with Applications to Variable Stepsize Resolvent Splitting

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-07-09T06:36:02.186307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.