Common Fixed Point Theorems in Complex Valued B-Metric Spaces

Azam et. al.(2011) introduced the notion of complex valued metric spaces and obtained common fixed point result for mappings in the context of complex valued metric space. Rao et. al. (2013) introduced the notion of complex valued b-metric space. Badshah et. al (2017) established some fixed point results for a pair of compatible mappings satisfying a rational inequality in complex valued metric spaces. In this paper, we study complex valued b-metric space and generalize the result given by Azam et. al[1] and Badshah et. al [2] Index Terms - Common fixed point, contractive type mapping, complex valued b-metric spaces. Mathematics Subject Classification: 47H10, 54H25.