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Weak conditions for random fixed point and approximation results

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Monica Patriche

Probability · Submitted 10 Jul 2015

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our results either extend or improve corresponding ones present in literature.

how it is stated · asserted 0.89 read the record →

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arXiv ID1507.02953 (version 1)
Pith ID3LJ37W7W, Pith's permanent record of this paper and its review
CitationMonica Patriche. "Weak conditions for random fixed point and approximation results." arXiv:1507.02953 (2015). https://pith.science/paper/3LJ37W7W
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,271 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.18 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.03 · states quantitative result 0.03 · compares with prior results 0.76 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this paper, we study the existence of the random approximations and fixed points for random almost lower semicontinuous operators defined on finite dimensional Banach spaces, which in addition, are condensing or 1-set-contractive. Our results either extend or improve corresponding ones present in literature.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper, we study the existence of the random approximations and fixed points for random almost lower semicontinuous operators defined on finite dimensional Banach spaces, which in addition, are condensing or 1-set-contractive. contribution 1.00 0.83 0.33 asserted 0.92
s1 Our results either extend or improve corresponding ones present in literature. interpretation 0.59 0.69 0.33 asserted 0.89

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this paper, we study the existence of the random approximations and fixed points for random almost lower semicontinuous operators defined on finite dimensional Banach spaces, which in addition, are condensing or 1-set-contractive. Our results either extend or improve corresponding ones present in literature.

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