Best Proximity Point for Some Type of Cyclic Mappingin Strong ḇ-Metric Space

Walaa Fadel  Ali; Buthainah A.A  Ahmad

doi:10.24996/ijs.2025.66.5.%g

Authors

Walaa Fadel Ali department of Mathematics college of science https://orcid.org/0009-0004-5353-7159
Buthainah A.A Ahmad Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2025.66.5.%25g

Keywords:

Strong ḇ-metric space, best Proximity Point, Kennan mapping, Ćirić mapping, Meir-Keeler-Kannan-Ghatterjee mapping Contraction

Abstract

The best proximity point generalization of fixed point that is beneficial when the contraction map is not a self-map. The aim of this paper is to introduce new types of proximal contraction for cyclic mapping in strong ḇ-metric space that. Let be complete strong ḇ-metric space and let be two nonempty closed subsets of . Take the cyclic mapping . If is satisfies following condition for all and , where then is Kannan cyclic, if is satisfies following condition for all and , where then is Ćirić cyclic, if is satisfies following condition for all and , where Meir-Keeler mapping then is Meir-Keeler -Kannan-Ghatterjee. The exi