On Fixed Point Results for Some Multi-valued Operators with respect to Extended wt-Distance on Extended b-Metric Spaces

Year 2024, Volume: 16 Issue: 2, 426 - 437, 31.12.2024

İrem Eroğlu

Abstract

In this paper, we prove some new fixed point results for multi-valued mappings via extended wtdistance
on complete extended b-metric spaces. We obtain a generalization of Feng and Liu [8] fixed point theorem
on multi-valued operators. Moreover, we give a homotopy application to show the applicability of our results.

Keywords

extended b-metric, contraction, extended wt-distance, wt-distance, fixed point, multi-valued mapping

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