Existence of common fixed points for a pair of self maps on a cone metric space under B.C. Control condition

Abstract

In this paper, we obtain sufficient conditions for the existence of unique point of coincidence for a pair of self maps on a cone metric space satisfying certain control conditions. These results improve the fixed point theorem of Razani.et.al.[8] imposing conditions such as the cone is a lattice or lattice ordered semigroup and introducing two new control functions namely B. C. control function and S.B.C control function. An open problem is also given at the end for further investigation.