| Autor: |
Alam, Khairul Habib, Rohen, Yumnam |
| Předmět: |
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| Zdroj: |
Palestine Journal of Mathematics; 2024, Vol. 13 Issue 2, p30-40, 11p |
| Abstrakt: |
This study aims to provide a new class of Ćirić α+(θ, ϕ)-proximal contraction, a non-self generalized proximal contraction mapping on a non-empty closed subset of any metric space. Also, we prove that such contractions satisfying some conditions must have a unique best proximity point if we take the base space as complete. For some particular values of the constants, that we have used to generalize the proximal contraction, we conclude different types of proximal contractions. We substantiate the deduced findings with examples. An application to show the solution of an integral equation in the context of proximity point results over the space of all real-valued continuous functions is discussed. By presenting these findings, we aim to encourage a new wave of scholars to keep exploring this exciting topic that has so many applications ahead of it. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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