Abstract
Recently, Azam et al. introduced the notion of complex valued metric spaces and proved fixed point theorems under the contraction condition. Rao et al. introduced the notion of complex valued b-metric spaces. In this paper, we obtain some fixed point results for the mapping satisfying rational expressions in complex valued b-metric spaces. Also, an example is given to illustrate our obtained result.
Highlights
Banach contraction principle [1] is one of the most important results in fixed point theory
A large number of articles have been devoted to the improvement and generalization of the Banach contraction principle by using different form of contraction condition in various spaces
Bakhtin [2] introduced the notion of b-metric space which is a generalized form of metric spaces
Summary
Banach contraction principle [1] is one of the most important results in fixed point theory. Azam et al [3] introduced the notion of complex valued metric spaces which is more general than well-known metric spaces and proved common fixed point theorems for mappings satisfying rational expression. Mukheimer [5] proved some common fixed point theorems in complex valued b-metric spaces.
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