Best proximity point for \(\alpha\)-\(\psi\)-proximal contractive multimaps (Q1722284)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Best proximity point for \(\alpha\)-\(\psi\)-proximal contractive multimaps |
scientific article; zbMATH DE number 7021884
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Best proximity point for \(\alpha\)-\(\psi\)-proximal contractive multimaps |
scientific article; zbMATH DE number 7021884 |
Statements
Best proximity point for \(\alpha\)-\(\psi\)-proximal contractive multimaps (English)
0 references
14 February 2019
0 references
Summary: We extend the notions of \(\alpha\)-\(\psi\)-proximal contraction and \(\alpha\)-proximal admissibility to multivalued maps and then using these notions we obtain some best proximity point theorems for multivalued mappings. Our results extend some recent results by \textit{M. Jleli} and \textit{B. Samet} and those contained therein [Bull. Sci. Math. 137, No. 8, 977--995 (2013; Zbl 1290.41024)]. Some examples are constructed to show the generality of our results.
0 references
0 references
0 references
0 references
0 references
0 references
0 references
