Geodesic
Homeomorphism metric space and the fixed point theorems
Luo, Yinglin 1 ; Su, Yongfu 1 ; Gao, Wenbiao 1
1 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 10, p. 5132-5141.

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

The purpose of this paper is to introduce the concept of the homeomorphism metric space and to prove the fixed point theorems and the best proximity point theorems for generalized contractions in such spaces. The multiplicative metric space is a special form of the homeomorphism metric space. The results of this paper improve and extend the previously known ones in the literature.
DOI : 10.22436/jnsa.010.10.01
Classification : 47H05, 47H09, 47H10
Keywords: Homeomorphism metric space, multiplicative metric space, metric space, \(b\)-metric space, generalized contraction, fixed point, best proximity point

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 . Homeomorphism metric space and the fixed point theorems. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 10, p. 5132-5141. doi : 10.22436/jnsa.010.10.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.10.01/

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