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On the best proximity point theorems for interpolative proximal contractions with applications

Year: 2025

Type: article

Abstract: We introduce some new generalized proximal interpolative contraction principles that produce corresponding proximal interpolative contraction principles and proximal contraction principles as special cases. We prove various best proximity point theorems using introduced generalized proximal interpolative contraction principles. The obtained results improve and generalize many best proximity point theorems published earlier in the literature. Some examples and applications are given to demonstrate the usefulness of our results.

Source: Filomat

DOI: 10.2298/fil2508817j

Authors: Khalil Javed, Muhammad Nazam, Ozlem Acar, Muhammad Arshad

Institutions: International Islamic University, Islamabad, Allama Iqbal Open University, Selçuk University

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413221862

FWCI:

Cites: 14

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Related to: 10