Best Proximity Pairs Theorems for Continuous Set-Valued Maps
A best proximity pair for a set-valued map with respect to a set-valued map is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem.
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Veröffentlicht in: | Fixed point theory and applications (Hindawi Publishing Corporation) 2008-09, Vol.2008 (1), p.607926-607926 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | A best proximity pair for a set-valued map with respect to a set-valued map is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem. |
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ISSN: | 1687-1812 1687-1820 1687-1812 |
DOI: | 10.1186/1687-1812-2008-607926 |