Research demonstrates a unique fixed point for multi-valued mappings in orthogonal ultrametric spaces, suggesting applications in integral equations.
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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Radhakrishnan et al. (2025) studied this question.
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