Convergence theorems for nonspreading mappings and equilibrium problems in Hadamard spaces

Abstract

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