K. Koyas

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Articles: 1

New best proximity point results for generalized multivalued $F-$proximal contractions in partial metric spaces with application

MFAT 32 (2026), no. 1, 35-52

35-52

In this paper, we introduce generalized multivalued $F-$proximal contraction mappings within the partial metric spaces framework and establish best proximity point results for such mappings. The best proximity point theorem for multivalued $F-$proximal contraction mappings involving $\alpha-$admissibility is also obtained. Several related results in the literature are unified and generalized by our new best proximity point results. We also provide nontrivial examples to support our findings. Finally, we derive an existence of a solution to an integral equation that validates our finding.

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