Fixed Point Theorems for Two Pairs of Mappings Satisfying a New Type of Common Limit Range Property in G_p Metric Spaces

Abstract

The purpose of this paper is to prove a general fixed point theorem for mappings involving almost altering distances and satisfying a new type of common limit range property in Gpmetric spaces. In the last part of the paper, some fixed point results for mappings satisfying contractive conditions of integral type and for ⱷ-contractive mappings are obtained.

A General Fixed Point Theorem for Two Pairs of Absorbing Mappings in Gp -Metric Spaces

“…Proof. The proof that Bu = T u = z = Av = Sv for some u, v ∈ X and z ∈ S(X) ∩ T (X) with G p (z, z, z) = 0 is similar to the first part of the proof of [46,Theorem 4.1]. Fix now the points u, v, z satisfying these properties.…”

“…Fixed point theorems involving altering distances have been studied in [38], [44], [45] and in other papers.…”

Hankel determinant for a certain subclass of analytic functions

“…Some results using altering distance in metric spaces are obtained in [13], [14] and in other papers. Recently results in G -metric spaces are obtained in [12].…”