Generalized ψ-weak contraction condition for variants of compatible mappings in G-metric space

Abstract

In this paper first we present generalized ψ-weak contraction condition that contains cubic and quadratic terms of distance function G(x,y,z) and then prove common fixed point theorems for compatible mappings in G-metric space. Secondly, we deal with variants of compatible mappings type (K), type (R) and type (E) in G-metric space. At the end, we provide applications of our results.