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Fixed-Point Theorems in $b$-Metric Spaces via a Novel Simulation Function

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Anuradha Gupta, Rahul Mansotra

Metric Geometry · Submitted 12 Jan 2025

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

The authors' main claim This paper introduces a new type of simulation function within the framework of $b$-metric spaces, leading to the derivation of fixed-point results in this general setting.

how it is stated · asserted 1.00 read the record →

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arXiv ID2501.06739 (version 1)
Pith IDXIZSCWNJ, Pith's permanent record of this paper and its review
CitationAnuradha Gupta, Rahul Mansotra. "Fixed-Point Theorems in $b$-Metric Spaces via a Novel Simulation Function." arXiv:2501.06739 (2025). https://pith.science/paper/XIZSCWNJ
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,244 input tokens.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.04 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

This paper introduces a new type of simulation function within the framework of $b$-metric spaces, leading to the derivation of fixed-point results in this general setting. We explore the theoretical implications of these results and demonstrate their utility through a concrete example.

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 This paper introduces a new type of simulation function within the framework of $b$-metric spaces, leading to the derivation of fixed-point results in this general setting. contribution 1.00 0.95 0.66 asserted 1.00
s1 We explore the theoretical implications of these results and demonstrate their utility through a concrete example. contribution 0.81 0.92 0.11 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.82 · evidence from proof or derivation 1.00.

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

This paper introduces a new type of simulation function within the framework of $b$-metric spaces, leading to the derivation of fixed-point results in this general setting. We explore the theoretical implications of these results and demonstrate their utility through a concrete example.

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