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Keywords = semi-sharp proximinal

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12 pages, 253 KB  
Article
Convergence and Best Proximity Points for Generalized Contraction Pairs
by Slah Sahmim, Abdelbasset Felhi and Hassen Aydi
Mathematics 2019, 7(2), 176; https://doi.org/10.3390/math7020176 - 15 Feb 2019
Cited by 6 | Viewed by 2525
Abstract
This paper is devoted to studying the existence of best proximity points and convergence for a class of generalized contraction pairs by using the concept of proximally-complete pairs and proximally-complete semi-sharp proximinal pairs. The obtained results are generalizations of the result of Sadiq [...] Read more.
This paper is devoted to studying the existence of best proximity points and convergence for a class of generalized contraction pairs by using the concept of proximally-complete pairs and proximally-complete semi-sharp proximinal pairs. The obtained results are generalizations of the result of Sadiq Basha (Basha, S., Best proximity points: global optimal approximate solutions, J. Glob. Optim. 2011, 49, 15–21) As an application, we give a result for nonexpansive mappings in normed vector spaces. Full article
(This article belongs to the Special Issue Fixed Point, Optimization, and Applications)
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