Geodesic
A Best Proximity Point Theorem for Generalized Weakly Contractive Non Self Mappings
Journal of convex analysis, Tome 21 (2014) no. 4, pp. 989-1006.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 41A65, 47H10
Mots-clés : Best proximity point; generalized weakly contractive mapping; Fixed point 
@article{JCA_2014_21_4_JCA_2014_21_4_a4,
     author = {A. Almeida and J. Harjani and K. Sadarangani},
     title = {A {Best} {Proximity} {Point} {Theorem} for {Generalized} {Weakly} {Contractive} {Non} {Self} {Mappings}},
     journal = {Journal of convex analysis},
     pages = {989--1006},
     publisher = {mathdoc},
     volume = {21},
     number = {4},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_4_JCA_2014_21_4_a4/}
}
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A. Almeida; J. Harjani; K. Sadarangani. A Best Proximity Point Theorem for Generalized Weakly Contractive Non Self Mappings. Journal of convex analysis, Tome 21 (2014) no. 4, pp. 989-1006. http://geodesic.mathdoc.fr/item/JCA_2014_21_4_JCA_2014_21_4_a4/