Uniqueness of Fixed Points for Multi-Valued Mappings in Orthogonal Ultrametric Spaces

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DOI: https://doi.org/10.28924/2291-8639-23-2025-221
Published: Sep 8, 2025
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Balaanandhan Radhakrishnan, Uma Jayaraman, Kandhasamy Tamilvanan, Khaled Suwais, Nabil Mlaiki, Uniqueness of Fixed Points for Multi-Valued Mappings in Orthogonal Ultrametric Spaces, Int. J. Anal. Appl., 23 (2025), 221.

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Balaanandhan Radhakrishnan, Uma Jayaraman, Kandhasamy Tamilvanan, Khaled Suwais, Nabil Mlaiki

Abstract

This research aims to prove that multi-valued mappings in orthogonal ultrametric space (O-UMS) have only one fixed point (FP). We achieve this result using a variety of contraction conditions, without assuming spherical completeness. This allows us to state fixed-point problems exactly. Additionally, we explore the implications of these results for integral equations and nonlinear fractional integral-differential equations. By utilizing these contractions, our research contributes to a better understanding of O-UMS.

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