Fixed Point Results for Multivalued Mappings under Rational-Type Contractions in Graphical Fuzzy Cone Metric Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-225
Published: Aug 3, 2026
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Sidite Duraj, Raad Abdul Kareem Nsaif, Kastriot Zoto, R. Hamsalekha, K. Dinesh, Fixed Point Results for Multivalued Mappings under Rational-Type Contractions in Graphical Fuzzy Cone Metric Spaces, Int. J. Anal. Appl., 24 (2026), 225.

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Sidite Duraj, Raad Abdul Kareem Nsaif, Kastriot Zoto, R. Hamsalekha, K. Dinesh

Abstract

In this study, we develop new fixed point theorems for multivalued mappings within the framework of graphical fuzzy cone metric spaces. This setting integrates fuzzy structures, cone-valued metrics, and graph-based relations, which enable admissibility constraints between elements of the space. By employing a graphical fuzzy cone Hausdorff metric, we formulate generalized rational-type contractive conditions for multivalued operators. Under suitable assumptions of completeness and graph admissibility, we prove the existence of fixed points without imposing linearity or continuity requirements on the mappings. An example is also presented to illustrate the effectiveness and applicability of the obtained results.

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