# Weakly $\mathbf{(s,r)}$-contractive multi-valued operators on $\mathbf{b}$-metric space

Volume 11, Issue 3, pp 358--367
Publication Date: February 14, 2018 Submission Date: July 03, 2017 Revision Date: October 13, 2017 Accteptance Date: December 18, 2017
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### Authors

Lingjuan Ye - School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China. Congcong Shen - School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China.

### Abstract

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.

### Share and Cite

##### ISRP Style

Lingjuan Ye, Congcong Shen, Weakly $\mathbf{(s,r)}$-contractive multi-valued operators on $\mathbf{b}$-metric space, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 3, 358--367

##### AMA Style

Ye Lingjuan, Shen Congcong, Weakly $\mathbf{(s,r)}$-contractive multi-valued operators on $\mathbf{b}$-metric space. J. Nonlinear Sci. Appl. (2018); 11(3):358--367

##### Chicago/Turabian Style

Ye, Lingjuan, Shen, Congcong. "Weakly $\mathbf{(s,r)}$-contractive multi-valued operators on $\mathbf{b}$-metric space." Journal of Nonlinear Sciences and Applications, 11, no. 3 (2018): 358--367

### Keywords

• $b$-metric space
• weakly $(s • r)$-contractive multi-valued operator
• fixed point theorem

•  47H04
•  47H09
•  47H10

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