Common fixed point theorems for weakly compatible mappings using generalized ψ-weak contraction

Abstract

In this paper, first we introduce generalized ψ-weak contraction condition that involves cubic and quadratic terms of distance function d(x,y). Secondly; we discuss common fixed point theorems for weakly compatible and weakly compatible mappings along with property (E.A.) and common limit range property. At the end, we provide an example and an application of our main theorem satisfying integral type contraction condition.