Abstract
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.
Key words: Best proximity point, multivalued contraction, the weak $p-$property, $F-$proximal contraction.
Full Text
Article Information
| Title | New best proximity point results for generalized multivalued $F-$proximal contractions in partial metric spaces with application |
| Source | Methods Funct. Anal. Topology, Vol. 32 (2026), no. 1, 35-52 |
| DOI | 10.31392/MFAT-npu26_1.2026.05 |
| Milestones | Received 03/04/2025; Revised 09/01/2026 |
| Copyright | The Author(s) 2026 (CC BY-SA) |
Authors Information
Asaye Ayele
Department of Mathematics, Jimma University, Jimma, Ethiopia
Kidane Koyas
Department of Mathematics, Jimma University, Jimma, Ethiopia
Citation Example
Asaye Ayele and Kidane Koyas, New best proximity point results for generalized multivalued $F-$proximal contractions in partial metric spaces with application, Methods Funct. Anal. Topology 32
(2026), no. 1, 35-52.
BibTex
@article {MFAT2210,
AUTHOR = {Asaye Ayele and Kidane Koyas},
TITLE = {New best proximity point results for generalized multivalued $F-$proximal contractions in partial metric spaces with application},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {32},
YEAR = {2026},
NUMBER = {1},
PAGES = {35-52},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_1.2026.05},
URL = {https://mfat.imath.kiev.ua/article/?id=2210},
}
