A Best Proximity Point Theorem for Generalized Weakly Contractive Non Self Mappings

Angel Almeida; Jackie Harjani; Kishin Sadarangani

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Best proximity point; generalized weakly contractive mapping; Fixed point

Mathematics Subject Classification

41A65, 47H10

Suggested citation

A. Almeida, J. Harjani, K. Sadarangani. “A Best Proximity Point Theorem for Generalized Weakly Contractive Non Self Mappings.” Journal of Convex Analysis 21 (2014), No. 4, 989–1006.