What question did this study set out to answer?

This work aims to establish and prove new fixed point theorems in quasi metric spaces incorporating binary operations.

May 7, 20260 citationsOpen Access

Some Fixed Point Theorem in Quasi Metric Spaces With Binary Operation

OAO. K. AdewaleTai Solarin University of Education VAV.O. AdeyemiDelta State Polytechnic Ogwashi-Uku

Puntos clave

This work aims to establish and prove new fixed point theorems in quasi metric spaces incorporating binary operations.
Introduction of concepts of quasi metric spaces and binary operations.
Development and proof of fixed point theorems.
Unification and generalization of existing literature.
New fixed point theorems were established and proved.
The work extends the concepts of metric spaces and quasi metric spaces.

Resumen

The concept of metric space with binary operation was introduced by Adewale et al. in 2025 1. This is a better version of metric space. It unifies metric space and many other metric-like spaces. In the same year, Ayodele et al. introduced quasi metric space with binary operation due to the fact that distance between two points may not be the same. He also established and proved some fixed point theorems. In this paper, we establish and prove some fixed point theorems in quasi metric space with binary operation. Our work unify, extend and generalize existing work in literature.

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