Common Fixed Point Theorems of Integral Type for OWC Mappings under Relaxed Condition

R. K. Vats, V. Sihag, C. Vetro

Abstract

In this paper, we prove a common fixed point theorem for a pair of
occasionally weakly compatible (owc) self mappings satisfying a
mixed contractive condition of integral type without using the
triangle inequality.  We prove also analogous results for two
pairs of owc self mappings by assuming symmetry only on the set of
points of coincidence. These results unify, extend and complement
many results existing in the recent literature. Finally, we give
an application of our results in dynamic
programming.