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Existence and uniqueness of fractals in fuzzy metric space via best proximity point

Publication Type : Journal Article

Publisher : Springer Science and Business Media LLC

Source : Rendiconti del Circolo Matematico di Palermo Series 2

Url : https://doi.org/10.1007/s12215-025-01269-7

Campus : Coimbatore

School : School of Physical Sciences

Department : Mathematics

Year : 2025

Abstract : In this paper, we prove an extended version of the Banach contraction principle for a single valued non-self mapping in a complete fuzzy metric space. Further, we extend the results to multivalued non-self mapping and give an application in fractal theory. In addition, we provide examples to support our main results.

Cite this Research Publication : A. Sreelakshmi Unni, V. Pragadeeswarar, Existence and uniqueness of fractals in fuzzy metric space via best proximity point, Rendiconti del Circolo Matematico di Palermo Series 2, Springer Science and Business Media LLC, 2025, https://doi.org/10.1007/s12215-025-01269-7

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