A Unified Wardowski Contraction Approach to Multivalued Fixed Points in Cone Metric Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-117
Published: Apr 20, 2026
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Hawa Ibnouf Osman Ibnouf, A Unified Wardowski Contraction Approach to Multivalued Fixed Points in Cone Metric Spaces, Int. J. Anal. Appl., 24 (2026), 117.

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Hawa Ibnouf Osman Ibnouf

Abstract

In this paper, we investigate fixed point results for multivalued mappings defined on complete cone metric spaces (CCMS) by employing nonlinear Wardowski-type contraction conditions. Our approach extends the classical Banach contraction principle (BCP) and several of its generalizations by incorporating a control function belonging to the Wardowski class F and a Hausdorff cone metric (HCM) structure. The obtained results unify and generalize various fixed point theorems established in metric, b-metric, controlled metric, and multivalued settings. In particular, our theorems extend earlier results of Huang and Zhang, Krishnakumar and Marudai, and Wardowski to a broader nonlinear and multivalued cone metric framework. Illustrative examples are provided to demonstrate the applicability of the main results. These findings contribute to the ongoing development of nonlinear fixed point theory and provide a flexible tool for applications to integral and functional equations.

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