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Article . 2025
License: CC BY
Data sources: ZENODO
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Article . 2025
License: CC BY
Data sources: Datacite
ZENODO
Article . 2025
License: CC BY
Data sources: Datacite
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A Common Fixed Point Theorem For Generalized Contraction Pair Of Sefmaps In B-Metric Spaces

Authors: Negash, Alemayehu; Ayalew, Abebaw; Bogale, Meaza;

A Common Fixed Point Theorem For Generalized Contraction Pair Of Sefmaps In B-Metric Spaces

Abstract

This paper establishes a common fixed point theorem for a pair of self-maps satisfying a generalized contractioncondition in the framework of b-metric spaces. Unlike traditional metric spaces, b-metric spaces allow a relaxationof the triangle inequality, enabling the study of a broader class of spaces such as ℓ 𝑞 and 𝑀 𝑞 [0,1] for 0 < 𝑞 < 1 .Motivated by recent developments in fixed point theory, particularly those involving generalized Ciric-typecontractions, we introduce a novel contraction criterion and investigate the existence and uniqueness of commonfixed points under this setting. The analytical techniques adopted for the successful completion of this studyare based on the methods of Sarwar and Rahman, and Roshan et al. Our results extend and unify severalexisting fixed point theorems in the literature, offering new insights into the structure of mappings in generalizedmetric-type spaces. Examples are provided to demonstrate the applicability of the main theorem.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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