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


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

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
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


MSC


References