On best proximity point theorems in locally convex spaces endowed with a graph (Q2205141)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On best proximity point theorems in locally convex spaces endowed with a graph |
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On best proximity point theorems in locally convex spaces endowed with a graph (English)
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20 October 2020
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Summary: 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 \(G\)-contraction and \(G\)-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.
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