Construction of Proximal Fuzzy Iterated Function Systems

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DOI: https://doi.org/10.28924/2291-8639-23-2025-275
Published: Nov 5, 2025
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A. Sreelakshmi Unni, V. Pragadeeswarar, Manuel De la Sen, Construction of Proximal Fuzzy Iterated Function Systems, Int. J. Anal. Appl., 23 (2025), 275.

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A. Sreelakshmi Unni, V. Pragadeeswarar, Manuel De la Sen

Abstract

In this paper, we study the existence of best proximity point for set-valued non-self contractions, like p-cyclic contractions (p-CC) and p-cyclic φ-contractions (p-C-φ-C) in a given fuzzy metric space, which extends and improves some existing results in the literature. Furthermore, using the aforementioned contractions, we construct the Iterated Function Systems (IFSs).

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