Common fixed points for generalized ψ-∅-weak contraction in metric space

Abstract

In this paper, we first prove some common fixed point theorems for weakly compatible mappings, Point wise and R-weakly commuting mappings, Reciprocally continuous Mappings, R-weakly commuting mappings of type (Af), type (Ag), type (P) satisfying a generalized ∅-weak contraction condition that involves cubic terms of . Secondly, we prove common fixed point theorems for weakly compatible mappings along with (E.A) property and (CLR) property. At the last of each theorems, we give corollaries and applications in support of our theorems.