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

Mi Zhou, Mukesh Kumar Jain, Mohammad Saeed Khan, Nicolae Adrian Secelean

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Source: Crossref

Published: Jan 1, 2020

DOI: 10.3934/math.2021160

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Source abstract

<abstract><p>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 C- class functions. The results generalize, extend and improve the main results of <sup>[<xref ref-type="bibr" rid="b19">19</xref>, <xref ref-type="bibr" rid="b21">21</xref>, <xref ref-type="bibr" rid="b22">22</xref>, <xref ref-type="bibr" rid="b23">23</xref>]</sup>. Moreover, some examples are given to illustrate the validity of our results.</p></abstract>

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