FIXED POINT RESULTS IN COMPLEX VALUED METRIC SPACES WITH AN APPLICATION

Rashwan A. Rashwan, Hasanen A. Hammad, Liliana Guran

DOI Number
https://doi.org/10.22190/FUMI190313018R
First page
237
Last page
247

Abstract


In this paper, we introduce fixed point theorem for a general contractive condition in complex valued metric spaces. Also, some important corollaries under this contractive condition are
obtained. As an application, we find a unique solution for Urysohn integral equations and some illustrative examples are given to support our obtaining results. Our results extend and generalize the results of Azam et al. [2] and some other known results in the literature.

Keywords

Single-valued mappings; complex valued metric spaces; common xed point; nonlinear integral equations.

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DOI: https://doi.org/10.22190/FUMI190313018R

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