Condensing Mappings and Best Proximity Point Results

Sarah O. Alshehri, Hamed H. Alsulami, Naseer Shahzad and Xiaolong Qin

Journal of Mathematics, 2021, vol. 2021, 1-6

Abstract: Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It is shown that relative u-continuity of T is a necessary condition that cannot be omitted. Some examples are given to support our results.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5542994

DOI: 10.1155/2021/5542994

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