Ulam-Hyers stability, well-posedness and limit shadowing property of the fixed point problems for some contractive mappings in \(M_s\)-metric spaces
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Authors
Mi Zhou
- School of Science and Technology, Sanya College, 572022, Sanya, Hainan, China.
Xiao-lan Liu
- College of Science, Sichuan University of Science and Engineering, 643000, Zigong, Sichuan, China.
- Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering Computing, Zigong, Sichuan 643000, China.
Yeol Je Cho
- Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea.
- enter for General Education, China Medical University, Taichung 40402, Taiwan.
Boško Damjanovic
- Faculty of Agriculture, University of Belgrade, Belgrade, Serbia.
Abstract
In this paper, first, we introduce several types of the Ulam-Hyers stability, the well-posedness and the limit shadowing
property of fixed point problems in \(M_s\)-metric spaces. Second, we give such results for fixed point problems of Banach and
Kannan contractive mappings in \(M_s\)-metric spaces. Finally, we give some examples to illustrate the validity of our main results.
Share and Cite
ISRP Style
Mi Zhou, Xiao-lan Liu, Yeol Je Cho, Boško Damjanovic, Ulam-Hyers stability, well-posedness and limit shadowing property of the fixed point problems for some contractive mappings in \(M_s\)-metric spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2296--2308
AMA Style
Zhou Mi, Liu Xiao-lan, Cho Yeol Je, Damjanovic Boško, Ulam-Hyers stability, well-posedness and limit shadowing property of the fixed point problems for some contractive mappings in \(M_s\)-metric spaces. J. Nonlinear Sci. Appl. (2017); 10(5):2296--2308
Chicago/Turabian Style
Zhou, Mi, Liu, Xiao-lan, Cho, Yeol Je, Damjanovic, Boško. "Ulam-Hyers stability, well-posedness and limit shadowing property of the fixed point problems for some contractive mappings in \(M_s\)-metric spaces." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2296--2308
Keywords
- Fixed point problem
- Ulam-Hyers stability
- well-posedness
- limit shadowing property
- \(M_s\)-metric spaces.
MSC
References
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