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Convergence theorems for nonspreading mappings and equilibrium problems in Hadamard spaces

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In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points… Click to show full abstract

In this paper, we introduce a new iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of nonspreading mappings and a finite family of nonexpansive multivalued mappings in Hadamard space. We state and prove strong and ∆ convergence theorems of the proposed iterative process. The results obtained in this paper extend and improve some recent known results.

Keywords: theorems nonspreading; nonspreading mappings; mappings equilibrium; convergence theorems

Journal Title: Filomat
Year Published: 2020

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