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Open AccessArticle

Best Proximity Points for Monotone Relatively Nonexpansive Mappings in Ordered Banach Spaces

by Karim Chaira 1,†, Mustapha Kabil 1,†, Abdessamad Kamouss 1,*,† and Samih Lazaiz 2,†
1
Laboratory of Mathematics and Applications, Department of Mathematics, Faculty of Sciences and Technologies Mohammedia, University Hassan II Casablanca, Casablanca 20000, Morocco
2
Laboratory of Mathematical Analysis and Applications, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes 30050, Morocco
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Axioms 2019, 8(4), 121; https://doi.org/10.3390/axioms8040121
Received: 23 September 2019 / Revised: 25 October 2019 / Accepted: 25 October 2019 / Published: 1 November 2019
(This article belongs to the Special Issue Nonlinear Analysis and Optimization with Applications)
In this paper, we give sufficient conditions to ensure the existence of the best proximity point of monotone relatively nonexpansive mappings defined on partially ordered Banach spaces. An example is given to illustrate our results. View Full-Text
Keywords: best proximity point; fixed point; monotone mappings; relatively cyclic nonexpansive mappings; partially ordered Banach spaces best proximity point; fixed point; monotone mappings; relatively cyclic nonexpansive mappings; partially ordered Banach spaces
MDPI and ACS Style

Chaira, K.; Kabil, M.; Kamouss, A.; Lazaiz, S. Best Proximity Points for Monotone Relatively Nonexpansive Mappings in Ordered Banach Spaces. Axioms 2019, 8, 121.

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