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Non-Unique Fixed Point Theorems in Modular Metric Spaces

Non-unique fixed point theorems in modular metric spaces
Authors: Sharafat Hussain;

Non-Unique Fixed Point Theorems in Modular Metric Spaces

Abstract

This paper is devoted to the study of Ćirić-type non-unique fixed point results in modular metric spaces. We obtain various theorems about a fixed point and periodic points for a self-map on modular spaces which are not necessarily continuous and satisfy certain contractive conditions. Our results extend the results of Ćirić, Pachpatte, and Achari in modular metric spaces.

Keywords

\(f\)-orbitally \({\omega}\)-complete, strong Ćirić type ω-contraction, Fixed-point and coincidence theorems (topological aspects), strong Pachpatte type ω-contraction, f-orbitally ω-complete, strong Pachpatte type \({\omega}\)-contraction, Special maps on metric spaces, strong Ćirić type \({\omega}\)-contraction

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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!
2
Average
Average
Average
gold