Abstract
By using weakly compatible conditions of selfmapping pairs, we prove a com-mon fixed point theorem for six mappings in generalized complete metric spaces. An example is provided to support our result.
Highlights
The study of fixed point theory has been at the centre of vigorous activity and it
Over the past two decades, a considerable amount of research work for the development of fixed point theory have executed by several authors
Several researchers proved many common fixed point theorems on G -metric spaces
Summary
The study of fixed point theory has been at the centre of vigorous activity and it. Open Access has a wide range of applications in applied mathematics and sciences. Over the past two decades, a considerable amount of research work for the development of fixed point theory have executed by several authors. In 1963, Gahler [1] [2] introduced 2-metric spaces and claimed them as generalizations of metric spaces. Many researchers proved that there was no relation between these two spaces. These considerations led Dhage [3] to initiate a study of general metric spaces called D-metric spaces. Several researchers proved many common fixed point theorems on G -metric spaces. The purpose of this paper is to prove a common fixed point theorem for six weakly compatible selfmaps of a complete G -metric space. We recall some basic definitions and results on G -metric space
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