On Best Proximity Point Theorems in Locally Convex Spaces Endowed with a Graph

B. Saadaoui, S. Lazaiz and M. Aamri

International Journal of Mathematics and Mathematical Sciences, 2020, vol. 2020, 1-7

Abstract:

We consider the problem of best proximity point in locally convex spaces endowed with a weakly convex digraph. For that, we introduce the notions of nonself - contraction and - nonexpansive mappings, and we show that for each seminorm, we have a best proximity point. In addition, we conclude our work with a result showing the existence of best proximity point for every seminorm.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:7481060

DOI: 10.1155/2020/7481060

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