Convergence Theorems of Modified Proximal Algorithms for Asymptotical Quasi-nonexpansive Mappings in CAT(0) Spaces

Shengquan Weng and Dingping Wu

Journal of Mathematics Research, 2018, vol. 10, issue 2, 66-76

Abstract: In this paper, a new modified proximal point algorithm involving fixed point iterates of a finite number of asymptotically quasi-nonexpansive mappings in $CAT(0)$ spaces is proposed and been proved for the existence of a sequence generated by our iterative process converging to a minimizer of a convex function and a commen fixed point of a finite number of asymptotically quasi-nonexpansive mappings.

Keywords: convex minimization problem; $CAT(0)$ spaces; resolvent identity; asymptotically quasi-nonexpansive mapping; proximal point algorithm (search for similar items in EconPapers)
Date: 2018
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