Best Proximity Point for Generalized and  S -Geraphty Contractions | Zendy

Abdelhafid Bassou | Zendy; Taoufik Sabar | Zendy; Mohamed Aamri | Zendy

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Best Proximity Point for Generalized and

S

-Geraphty Contractions

Author(s) -

Abdelhafid Bassou,

Taoufik Sabar,

Mohamed Aamri

Publication year - 2021

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2021/6659358

Subject(s) - mathematics , uniqueness , class (philosophy) , point (geometry) , discrete mathematics , algebra over a field , pure mathematics , mathematical analysis , computer science , geometry , artificial intelligence

This paper introduces a new class of mappings called S -Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized contractions as well. Our results extend and generalize some theorems in the literature.

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