Fixed Point Results for w-Distance Functions via Altering Distance Functions on Orthogonal Metric Spaces

Year 2024, Volume: 7 Issue: 2, 1 - 8, 01.06.2024

Nurcan Bilgili Güngör

Abstract

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.

Keywords

w-distance, orthogonal metric space, fixed point theorems, orthogonal p-contraction

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