Journal of Advanced Mathematics and Mathematics Education 2636-8714 2636-8714 Seyfullah HIZARCI Topology Topoloji Fixed Point Results for w-Distance Functions via Altering Distance Functions on Orthogonal Metric Spaces https://orcid.org/0000-0001-5069-5881 Bilgili Güngör Nurcan Amasya University 06 01 2024 7 2 1 8 02 20 2024 03 28 2024 Copyright © 2019, Journal of Advanced Mathematics and Mathematics Education 2019 Journal of Advanced Mathematics and Mathematics Education

In 2018, Senapati et al. respectively defined the orthogonal lower semi continuity and presented the notion w-distance in orthogonal metric space. Also they gave a fixed point theorem which is the version of Banach fixed point theorem in orthogonal metric spaces thanks to the concept of w-distance. A fixed point theorem for w-distance functions on orthogonal metric spaces are presented in this work. This theorem is a generalization of the version of Banach fixed point theorem in orthogonal metric spaces owing to the concept of w-distance.

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