Common fixed point theorems for three maps under nonlinear contraction of cyclic form in partially ordered G-metric spaces

Abstract

In this paper, we introduced the notion of a cyclic (ψ,A,B,C)-contraction for the pair (f,g,h) of self-mappings on the set X. We utilize our definition to introduce some common fixed point theorems for the three mappings f, g and h under a set of conditions. As application of our results, we derive some fixed point theorems of integral type.