Quantitative fixed-point theorems with verifiable hypotheses: rates and stability

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Chandrasekhar Gokavarapu, Srinivasulu Ch, D V N S Sriram Murthy, Rajeev Muthu
DOI: 10.48550/arxiv.2602.07093
Cited by: 0

Abstract

Let $(X,\dist)$ be a complete metric space and let $C\subseteq X$ be a closed invariant set. We study fixed points of maps $T\colon C\to C$ governed by a \emph{verifiable} contractive modulus. The modulus is encoded by a contractive gauge $ω$ and a certified constant $κ=\sup_{0

Fields of Study & Subjects

Fixed Point Theorems Analysis Functional Equations Stability Results Approximation Theory and Sequence Spaces

Publication details

Journal / source
arXiv (Cornell University)
Publication date
6 February 2026
Language
EN
Document type
Preprint