Maia type fixed point results via C-class function

Abstract

In 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two metrics. In 2014, Ansari [2]introduced the concept of C-class functions and generalized many fixed point theorems in the literature. In this paper, we prove some Maia’s type fixed point results via C-class function in the setting of two metrics space endowed with a binary relation. Our results, generalized and extended many existing fixed point theorems, for generalized contractive and quasi-contractive mappings, in a metric space endowed with binary relation.

Keywords

• fixed point
• generalized contraction mappings
• ordered metric spaces
• c-class function
• 46n40
• 47h10
• 54h25
• 46t99