Common fixed point theorems in complex valued non-negative extended b-metric space
Authors: Naimat Ullah, Mohammed Shehu Shagari, Tahir Ahmad Khan, Aziz Ullah Khan, Muhammad Atta Ullah Khan
Journal: e-Journal of Analysis and Applied Mathematics (e-JAAM), e-ISSN 2544-9990
Volume: 2021 · Pages: 35 - 47
Published Online: 03 Dec 2021
Abstract: We introduce complex valued non-negative extended b-metric spaces and establish new fixed point results for mappings under some rational contractions. Our idea improves and extends corresponding fixed point theorems in the setting of b-metric, extended b-metric and classical metric spaces. Nontrivial examples are provided to support the hypotheses and usefulness of the main result obtained herein.
Keywords: Complex valued metric space, complex valued non-negative extended b-metric space, fixed point, integral equation