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 in:	AIMS mathematics Vol. 6; no. 3; pp. 2636 - 2652
Main Authors:	Zhou, Mi, Jain, Mukesh Kumar, Khan, Mohammad Saeed, Secelean, Nicolae Adrian
Format:	Journal Article
Language:	English
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)
ISSN:	2473-6988, 2473-6988
Online Access:	Get full text
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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