Al-Ukaily, Hanan A. A. Asaad (2026) Best Proximity Point Theorem for Non-Cyclic Geraghty Contractions Mappings of Generalized Metric Space. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 7 (3). pp. 79-84. ISSN 2660-5309

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Abstract

The approaches for finding an idea approximate solution, known as a best proximity point, to the equation , which is certainly unsolvable when is a non-self mapping, can be determined by best proximity point theorems. This paper establishes adequate requirements for the existence of a uniqueness best (optimum) proximity point for Geraghty contractions mappings in double controlled metric space. for new classes of non-self mappings known as generalized proximal contractions. Furthermore, the aforementioned best proximity point theorems can be realized as specific cases of the well-known Banach's contraction principle and more than of its expansions and modifications

Item Type:	Article
Subjects:	A General Works > AI Indexes (General)
Depositing User:	admin eprints
Date Deposited:	25 Jun 2026 13:50
Last Modified:	25 Jun 2026 13:50
URI:	http://eprints.umsida.ac.id/id/eprint/16612

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