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

Abstract

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 [19, 21, 22, 23]. Moreover, some examples are given to illustrate the validity of our results.

Keywords

• f−semi-compatible mapping
• g−semi-compatible mapping
• f−compatibility of type (e)
• semi-compatibility of type (a)
• inverse c−class function
• implicit relation
• common fixed point