Geodesic
Multivariate best proximity point theorems in metric spaces
Luo, Yinglin1 ; Su, Yongfu1 ; Gao, Wenbiao1
1 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 11, p. 5756-5765.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The purpose of this paper is to prove an existence and uniqueness theorems of the multivariate best proximity point in the complete metric spaces. The concept of multivariate best proximity point is firstly introduced in this article. These new results improve and extend the previously known ones in the literature.
DOI : 10.22436/jnsa.009.11.04
Classification : 47H05, 47H09, 47H10
Keywords: Contraction mapping principle, complete metric spaces, multivariate mapping, multivariate fixed point, multiply metric function, best proximity point theorem.

Luo, Yinglin 1 ; Su, Yongfu 1 ; Gao, Wenbiao 1

1 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China 
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Luo, Yinglin; Su, Yongfu; Gao, Wenbiao. Multivariate best proximity point theorems in metric spaces. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 11, p. 5756-5765. doi : 10.22436/jnsa.009.11.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.11.04/

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