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

• 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)

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...