Geodesic
Ulam-Hyers stability, well-posedness and limit shadowing property of the fixed point problems for some contractive mappings in $M_s$-metric spaces :
Zhou, Mi 1   ; Liu, Xiao-lan 2   ; Cho, Yeol Je 3   ; Damjanovic, Boško 4
1 School of Science and Technology, Sanya College, 572022, Sanya, Hainan, China
2 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
3 Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea;enter for General Education, China Medical University, Taichung 40402, Taiwan
4 Faculty of Agriculture, University of Belgrade, Belgrade, Serbia
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 5, p. 2296-2308 Cet article a éte moissonné depuis la source International Scientific Research Publications

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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.

DOI : 10.22436/jnsa.010.05.02
Classification : 47H09, 47H10, 54H25
Keywords: Fixed point problem, Ulam-Hyers stability, well-posedness, limit shadowing property, \(M_s\)-metric spaces.

Zhou, Mi  1   ; Liu, Xiao-lan  2   ; Cho, Yeol Je  3   ; Damjanovic, Boško  4

1 School of Science and Technology, Sanya College, 572022, Sanya, Hainan, China
2 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
3 Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea;enter for General Education, China Medical University, Taichung 40402, Taiwan
4 Faculty of Agriculture, University of Belgrade, Belgrade, Serbia 
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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 its applications, Tome 10 (2017) no. 5, p. 2296-2308. doi: 10.22436/jnsa.010.05.02

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