Strong convergence theorems for fixed point of multi-valued mappings in Hadamard spaces

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Author listSani Salisu, Poom Kumam, and Songpon Sriwongsa

PublisherSpringerOpen

Publication year2022

JournalJournal of Inequalities and Applications (1025-5834)

Volume number2022

Start page143

ISSN1025-5834

eISSN1029-242X

URLhttps://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-022-02870-5


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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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Last updated on 2023-02-10 at 07:37