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Some best proximity point results on best orbitally complete quasi metric spaces.

Authors :
Aslantas, Mustafa
Sahin, Hakan
Sabir Al-Okbi, Raghad Jabbar
Source :
AIMS Mathematics; 2023, Vol. 8 Issue 4, p7967-7980, 14p
Publication Year :
2023

Abstract

In this paper, we first introduce the concepts of d- and d<superscript>-1</superscript> -proximal Ćirić contraction mappings. Also, we present new definitions and notations by taking into account the lack of symmetry property of quasi-metric spaces. Moreover, we give some examples to support our definitions and notations. Then, we prove some right and left best proximity point results for these mappings on best orbitally complete quasi-metric spaces. Hence, we obtain some generalizations of famous results in the literature. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
QUASI-metric spaces

Details

Language :
English
ISSN :
24736988
Volume :
8
Issue :
4
Database :
Complementary Index
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
162422658
Full Text :
https://doi.org/10.3934/math.2023401