Geodesic
Weakly $\mathbf{(s,r)}$-contractive multi-valued operators on $\mathbf{b}$-metric space
Ye, Lingjuan 1 ; Shen, Congcong 1
1 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 3, p. 358-367.

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

In this paper we introduce the notion of weakly $(s,r)$-contractive multi-valued operator on $b$-metric space and establish some fixed point theorems for this operator. In addition, an application to the differential equation is given to illustrate usability of obtained results.
DOI : 10.22436/jnsa.011.03.04
Classification : 47H04, 47H09, 47H10
Keywords: \(b\)-metric space, weakly \((s, r)\)-contractive multi-valued operator, fixed point theorem

Ye, Lingjuan  1 ; Shen, Congcong  1

1 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China 
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Ye, Lingjuan ; Shen, Congcong . Weakly \(\mathbf{(s,r)}\)-contractive multi-valued operators on \(\mathbf{b}\)-metric space. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 3, p. 358-367. doi : 10.22436/jnsa.011.03.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.03.04/

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