Common fixed point theorems for a family of mappings with A-implicit contractive conditions on 2-metric spaces

Abstract

In this paper, using the known class of A -contractions, we discuss the existence problems of points of coincidence and common fixed points for four self-mappings with A -implicit contractions on non-complete 2-metric spaces and give some particular forms, also obtain a common fixed point theorem for an infinite family of self-mappings on complete 2-metric spaces and give a more general result. The obtained results generalize Kannan type (common) fixed point theorems and its variant forms and other corresponding conclusions.