Ulam-Hyers stability, well-posedness and limit shadowing property of the fixed point problems for some contractive mappings in \(M_s\)-metric spaces


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.


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.