Some unique common fixed point results on C*-algebra valued metric space using C_*-class function

Abstract

Fixed point theorems are established and developed in many metric spaces, Banach spaces, Uniform spaces etc. under many different expansive and non-expansive type conditions. C.Park et al. [1], H.Massit et al. [3], Z.Ma et al. [5, 6], M.Erden et al. [14] and B.Moeini et al. [15] established various fixed point results on C*-algebra valued metric under different type of contractive conditions. In this paper we establish some unique common fixed point results for six mappings on C*-algebra valued metric space on C_*-class function, which is a generalization of theorems of C.Park et al. [1]. Here we discuss about some basic definitions and properties on C*-algebra valued metric spaces in the introduction part. Some examples and corollaries are also given in this paper.