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ISSN : 1226-0657

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Vol.30 No.4
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Some Results on Best Proximity Point for Cyclic B-contraction and S-weakly Cyclic B-contraction Mappings

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2023, v.30 no.4, pp.417-427
https://doi.org/10.7468/jksmeb.2023.30.4.417
V. Anbukkarasi (Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India)
R. Theivaraman (Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India)
M. Marudai (Department of Mathematics, Bharathidasan University, Tiruchirappalli-620 024, Tamilnadu, India)
P. S. SRINIVASAN (DEPARTMENT OF MATHEMATICS, BHARATHIDASAN UNIVERSITY)
V., A. , R., T. , M., M. , & P., S. S. (2023). Some Results on Best Proximity Point for Cyclic B-contraction and S-weakly Cyclic B-contraction Mappings. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 30(4), 417-427, https://doi.org/10.7468/jksmeb.2023.30.4.417
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Abstract

The purpose of this paper is establish the existence of proximity point for the cyclic B-contraction mapping on metric spaces and uniformly convex Banach spaces. Also, we prove the common proximity point for the S-weakly cyclic B-contraction mapping. In addition, a few examples are provided to demonstrate our findings

keywords
cyclic B-contraction, proximity point, S-weakly cyclic B-contraction, common proximity point

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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