Journal of Convex Analysis 21 (2014), No. 4, 989--1006
Copyright Heldermann Verlag 2014
A Best Proximity Point Theorem for Generalized Weakly Contractive Non Self Mappings
Angel Almeida
Dep. de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
aalmeida@dma.ulpgc.es
Jackie Harjani
Dep. de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
jharjani@dma.ulpgc.es
Kishin Sadarangani
Dep. de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
ksadaran@dma.ulpgc.es
The purpose of this paper is to provide sufficient conditions for the existence of a unique best proximity point for generalized weakly contractive mappings in the context of complete metric spaces.
Keywords: Best proximity point; generalized weakly contractive mapping; Fixed point.
MSC: 41A65, 47H10
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