The object of this paper is to establish a theorem for a unique common fixed point of four self mappings, weakly compatibile in pairs and satisfying a generalized contractive condition in a cone metric space. Our result generalizes and synthesizes the results of Abbas– Jungck [1], Arshad et al. [2], Huang–Zhang [3] and Vetro [8].

In a set of infinitely many reference configurations differing from chosen fit region $${\mathscr {B}}$$ in the three-dimensional space and each other only by possible crack paths, parameterized special measures, namely curvature varifolds, energy minimality selects among continuous body those that are compatible with assigned boundary conditions Dirichlet-type. The use varifolds allows us to c...

Objectives: In this paper, we have to establish a generalized common fixed point theorem in cone rectangular metric spaces. Methods: use the Banach contraction principle technique theorem. Findings: The paper presents unique for two weakly compatible self-maps satisfying expansive type mapping space without assuming normality condition of cone. Our result extends and supplements some well-known...

This study aims to show that four maps in a b-metric space satisfy pairwise weak compatibility have common fixed points under certain conditions. In the main results of this paper, (CLR) property is employed, and for weakly compatible mappings are established. All our findings backed up by befitting examples. Our generalize extend previous literature.

In this article, the necessary and sufficient conditions for the existence of common fixed points for a compatible pair of selfmaps are proved. Also, the existence of common fixed points for a pair of compatible mappings of type (B) and for a pair of compatible mappings of type (A) as a corollary, are presented.