Startpoints and $(\alpha,\gamma)$-Contractions in Quasi-Pseudometric Spaces

TL;DR

This paper introduces startpoints and endpoints for multivalued maps in quasi-pseudometric spaces, exploring their relationship with fixed point existence.

Contribution

It defines new concepts of startpoints and endpoints for multivalued maps in quasi-pseudometric spaces and studies their connection to fixed point theorems.

Findings

Established conditions for the existence of startpoints and endpoints.

Connected these concepts to fixed point results in quasi-pseudometric spaces.

Abstract

We introduce the concept of $\it{ startpoint}$ and $\it{endpoint}$ for multivalued maps defined on a quasi-pseudometric space. We investigate the relation between these new concepts and the existence of fixed points for these set valued maps.