Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces

Yıl 2018, Cilt: 1 Sayı: 2, 49 - 57, 31.08.2018

Shengquan Weng Dingping Wu

Öz

In this paper, a new modified proximal point algorithm is proposed for finding a common element of the set of fixed points of a single-valued nonexpansive mapping, and the set of fixed points of a multivalued nonexpansive mapping, and the set of minimizers of convex and lower semicontinuous functions. We obtain convergence of the proposed algorithm to a common element of three sets in CAT(0) spaces.

Anahtar Kelimeler

CAT(0) space, proximal point algorithm, fixed point, resolvent identity, functional analysis

Kaynakça

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