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

Abstract

A general fixed point theorem for two pairs of absorbing mappings satisfying a new type of implicit relation ([37]), without weak compatibility in Gp-metric spaces is proved. As applications, new results for mappings satisfying contractive conditions of integral type and for ϕ-contractive mappings are obtained.

Related fixed point theorems in intuitionistic fuzzy metric spaces satisfying an implicit relation

“…In this paper, we prove a related fixed point theorem for four mappings using an implicit relation. Our theorem generalizes the theorem of Popa [23] and other theorems in literature.…”

Fixed points for occasionally weakly biased mappings of type (A)

“…According to [24], several classical fixed point theorems and common fixed point theorems have been unified considering a general condition by an implicit relation in ( [22,23]) and in other papers. Motivated by the three cited papers and the next ones [1,2,4,5,11,18,25,26,27] and so on, we introduce the new type of implicit relations.…”