Wardowski-Type Fixed Point Results for Multivalued Mappings in Fuzzy Cone Metric Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-178
Published: Jun 15, 2026
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K. Dinesh, Sidite Duraj, Hawa Ibnouf Osman Ibnouf, Kastriot Zoto, B. Shoba, Wardowski-Type Fixed Point Results for Multivalued Mappings in Fuzzy Cone Metric Spaces, Int. J. Anal. Appl., 24 (2026), 178.

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K. Dinesh, Sidite Duraj, Hawa Ibnouf Osman Ibnouf, Kastriot Zoto, B. Shoba

Abstract

In this paper, we investigate the existence of fixed points (FP) for multivalued mappings in the framework of fuzzy cone metric spaces (FCMS). By combining the structural features of cone (C)-valued distances with fuzziness, we introduce Wardowski-type contractive conditions governed by nonlinear control functions. Unlike classical contractions, the proposed conditions do not rely on linear domination of distances but instead ensure convergence through the strict decrease of a Wardowski function along iterative sequences. Several FP theorems are established for multivalued operators via the fuzzy C Hausdorff metric. As consequences, corresponding results for single-valued mappings and ordered FCMSs are derived. The obtained results extend and unify various existing FP theorems in cone metric spaces (CMS) and fuzzy metric spaces, while providing a flexible framework for applications involving uncertainty and nonlinear phenomena.

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