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

Keywords

• fixed point
• gp-metric space
• absorbing mapping
• limit range property
• almost altering distance
• implicit relation
• 54h25
• 47h10