Strong convergence theorems for fixed point of multi-valued mappings in Hadamard spaces
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Author list: Sani Salisu, Poom Kumam, and Songpon Sriwongsa
Publisher: SpringerOpen
Publication year: 2022
Journal: Journal of Inequalities and Applications (1025-5834)
Volume number: 2022
Start page: 143
ISSN: 1025-5834
eISSN: 1029-242X
URL: https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02870-5
Abstract
With the help of CN-inequality, we study fixed point of multi-valued mappings with closed bounded images and establish some strong convergence theorems involving a countable family of demicontractive mappings in Hadamard spaces. Furthermore, we use the established theorems to deduce some theorems involving a family of minimization problems, variational inequality problems, and monotone inclusion problems. We finally give examples to illustrate the results. The results obtained herein generalise some recent results in the literature.
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