Generalization of Contraction mapping in complex-valued metric space

Abstract

The notion of complex-valued metric spaces was introduced by Azam et al. [4]. He introduced the new concept and established a common fixed point result in the context of complex-valued metric spaces. In this paper, we generalized the concept of chatterjea [14] contraction mapping for multi-valued mappings on the complex-valued metric spaces.

MSC: 46S40, 47H10, 54H25.

Keywords: Complex-valued metric space; Multi-valued mappings; Contraction mappings; Common fixed point; lower bound and greater lower bound (g.l.b).