“…Recently, many convergence results by the proximal point algorithm have been extended from the classical linear spaces to the setting of manifolds; see, e.g., [1,2,3,4,7,8,9,10,11,13,15,20,21,22] and the references therein.…”
In this paper, an iterative algorithm to approximate a common solution of a finite family of minimization problems and fixed point problems of a finite family of demicontractive mappings in Hadamard manifolds is proposed. Under suitable conditions, some convergence theorems of the sequence generated by the algorithm to the common solution of the two problems in Hardmard manifolds are proved.
“…Recently, many convergence results by the proximal point algorithm have been extended from the classical linear spaces to the setting of manifolds; see, e.g., [1,2,3,4,7,8,9,10,11,13,15,20,21,22] and the references therein.…”
In this paper, an iterative algorithm to approximate a common solution of a finite family of minimization problems and fixed point problems of a finite family of demicontractive mappings in Hadamard manifolds is proposed. Under suitable conditions, some convergence theorems of the sequence generated by the algorithm to the common solution of the two problems in Hardmard manifolds are proved.
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