TY  - JOUR
T1  - Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces
AU  - Weng, Shengquan
AU  - Wu, Dingping
PY  - 2018
DA  - August
JF  - Results in Nonlinear Analysis
JO  - RNA
PB  - Erdal KARAPINAR
WT  - DergiPark
SN  - 2636-7556
SP  - 49
EP  - 57
VL  - 1
IS  - 2
LA  - en
AB  - 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.
KW  - CAT(0) space
KW  - proximal point algorithm
KW  - fixed point
KW  - resolvent identity
KW  - functional analysis
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UR  - https://dergipark.org.tr/en/pub/rna/issue//426161
L1  - https://dergipark.org.tr/en/download/article-file/476440
ER  -