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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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 3; pp. 2636 - 2652
Main Authors Zhou, Mi, Jain, Mukesh Kumar, Khan, Mohammad Saeed, Secelean, Nicolae Adrian
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
common fixed point
f−compatibility of type (e)
f−semi-compatible mapping
g−semi-compatible mapping
implicit relation
inverse c−class function
semi-compatibility of type (a)
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Summary: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