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Coupled coincidence point results for contraction of $C$-class mappings in ordered uniform spaces

Coupled coincidence point results for contraction of \(C\)-class mappings in ordered uniform spaces
Authors: Ansari, A. H.; Binbasioglu, D.; Turkoglu, D.;

Coupled coincidence point results for contraction of $C$-class mappings in ordered uniform spaces

Abstract

In the literature there is a lot of works related to fixed point theory. The theory has many applications and some authors are interested in these applications in various spaces. In 2009, Altun I. and Imdad M. defined the order relation on uniform spaces and the concept of compatibility of mappings. Later Ansari A.H. defined the $C$-class function concept. In this paper, we take some ultra altering distance and $C$-class functions, then we prove some coupled coincidence point theorems for a mapping providing mixed $g$-monotonicity property in ordered uniform spaces. We also give the appropriate examples.

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Turkey
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Keywords

Fixed-point and coincidence theorems (topological aspects), \(C\)-class mapping, $c$-class mapping, coupled coincidence point, зв'язана точка збігу, $C$-клас відображень, впорядкований рівномірний простір, Fixed-point theorems, ordered uniform space, QA1-939, coupled coincidence point, $C$-class mapping, ordered uniform space, C-class mapping, Mathematics

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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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