Common Fixed Point Theorems For Weakly Compatible Mappings On Complete Metric Spaces

Abstract

Metrical common fixed point theorems invariably require a commutativity condition and a condition on the continuity of involved mappings besides a contractive condition and researches in this domain are aimed at weakening one or more of these conditions. In this paper, we prove a common fixed point theorem that enhance the scope of proving common fixed point theorems from the class of compatible continuous mappings to a wider class of mappings which includes pairwise coincidentally commuting (weak compatible) mappings without any continuity requirement.