Best Proximity Points for Generalized - -Proximal Contractive Type Mappings

Best Proximity Points for Generalized - -Proximal Contractive Type Mappings

We introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.

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Veröffentlicht in:Journal of Applied Mathematics 2013-01, Vol.2013, p.322-331-436
Hauptverfasser: Jleli, Mohamed, Karapinar, Erdal, Samet, Bessem
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Fixed point theory
Hypotheses
Mappings (Mathematics)
Mathematical research
Studies
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Beschreibung
Zusammenfassung:We introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.
ISSN:1110-757X
1687-0042
DOI:10.1155/2013/534127