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Arab Journal of Mathematical Sciences
Article . 2019 . Peer-reviewed
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Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators

Authors: Adrian Magdaş;

Coupled fixed points and coupled best proximity points for cyclic Ćirić type operators

Abstract

The purpose of this paper is to study the coupled fixed point problem and the coupled best proximity problem for single-valued and multi-valued contraction type operators defined on cyclic representations of the space. The approach is based on fixed point results for appropriate operators generated by the initial problems.

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Keywords

coupled fixed point, Multi-valued operator, Best proximity point, Single-valued operator, Ulam-Hyers stability, generalized contraction, well-posedness, coupled best proximity point, QA1-939, Complete metric spaces, multi-valued operator, Special maps on metric spaces, Set-valued maps in general topology, single-valued operator, Fixed-point and coincidence theorems (topological aspects), metric space, data dependence, best proximity point, Fixed point, Coupled fixed point, fixed point, Metric space, 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!
0
Average
Average
Average
gold