A GENERALIZATION OF FIXED POINT RESULTS IN COMPLEX-VALUED QUASI-PARTIAL B-METRIC SPACE

A GENERALIZATION OF FIXED POINT RESULTS IN COMPLEX-VALUED QUASI-PARTIAL B-METRIC SPACE

P. Gautam, S. Verma, P. Gupta

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Abstract

The aim of this paper is to establish and prove several results on fixed point portrayed in complex valued metric spaces i.e. to bring in a new type of extended b- metric space, which we call complex–valued quasi–partial b–metric space by considering an adequate partial order in the complex field and partial b–metric functions. Within this paper, fixed point results are obtained in complex–valued quasi–partial b–metric space. To substantiate the authenticity of our results and to distinguish them from ex- isting ones, some illustrative examples are also furnished with graphs.

Keywords

complex–valued b–metric space, complex–valued quasi–partial b–metric space, contractive type mappings, fixed point theorems.