Semi-compatible mappings and common fixed point theorems of an implicit relation via inverse $ C- $class functions

In this paper, we prove some common fixed point theorems by exploring a new kind of generalized semi-compatibility and an implicit relation via inverse $ C- $class functions. The results generalize, extend and improve the main results of [<xref ref-type="bibr" rid="b19">19...

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Vydáno v:AIMS mathematics Ročník 6; číslo 3; s. 2636 - 2652
Hlavní autoři: Zhou, Mi, Jain, Mukesh Kumar, Khan, Mohammad Saeed, Secelean, Nicolae Adrian
Médium: Journal Article
Jazyk:angličtina
Vydáno: AIMS Press 01.01.2021
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ISSN:2473-6988, 2473-6988
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Shrnutí:In this paper, we prove some common fixed point theorems by exploring a new kind of generalized semi-compatibility and an implicit relation via inverse $ C- $class functions. The results generalize, extend and improve the main results of [<xref ref-type="bibr" rid="b19">19 , <xref ref-type="bibr" rid="b21">21 , <xref ref-type="bibr" rid="b22">22 , <xref ref-type="bibr" rid="b23">23 ] . Moreover, some examples are given to illustrate the validity of our results.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021160