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| Novel Proximal Type Coincidence Point Results with Applications |
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Citation: |
Mudasir YOUNIS,,Haroon AHMAD,,Maoan HAN,,Dhirendra BAHUGUNA.Novel Proximal Type Coincidence Point Results with Applications[J].Chinese Annals of Mathematics B,2026,(4):729~752 |
| Page view: 198
Net amount: 124 |
Authors: |
Mudasir YOUNIS,; Haroon AHMAD,;Maoan HAN,;Dhirendra BAHUGUNA |
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| Abstract: |
In this paper, the authors establish some intriguing coincidence best proximity
point results for proximal contractions in the context of extended b-metric spaces. They
give some illustrative examples from various cases to substantiate their conclusions. The
findings discussed in the paper are more general, expanding and enhancing a variety of
existing findings in the optimal proximity theory. The findings, which explain the proximal
coincidence points for multivalued mappings, are the first of their kind in the current state
of the art. In addition, the study provides benchmarks for employing the optimal proximity
results once the existence and uniqueness requirements are met. |
Keywords: |
Extended b-metric space Proximal contraction mappings Coincidence best
proximity point Boundary value problem Fredholm integral equation |
Classification: |
54E05, 47H10, 47H09 |
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