In this paper, a new modified proximal point algorithm is proposed for finding a common element of the set of fixed points of a singlevalued 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.
Primary Language  en 

Journal Section  Articles 
Authors 

Dates 
Publication Date : August 31, 2018 
Bibtex  @research article { rna426161,
journal = {Results in Nonlinear Analysis},
issn = {},
eissn = {26367556},
address = {},
publisher = {Erdal KARAPINAR},
year = {2018},
volume = {1},
pages = {49  57},
doi = {},
title = {Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces},
key = {cite},
author = {Weng, Shengquan and Wu, Dingping}
} 
APA  Weng, S , Wu, D . (2018). Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces . Results in Nonlinear Analysis , 1 (2) , 4957 . Retrieved from https://dergipark.org.tr/en/pub/rna/issue/37067/426161 
MLA  Weng, S , Wu, D . "Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces" . Results in Nonlinear Analysis 1 (2018 ): 4957 <https://dergipark.org.tr/en/pub/rna/issue/37067/426161> 
Chicago  Weng, S , Wu, D . "Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces". Results in Nonlinear Analysis 1 (2018 ): 4957 
RIS  TY  JOUR T1  Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces AU  Shengquan Weng , Dingping Wu Y1  2018 PY  2018 N1  DO  T2  Results in Nonlinear Analysis JF  Journal JO  JOR SP  49 EP  57 VL  1 IS  2 SN  26367556 M3  UR  Y2  2018 ER  
EndNote  %0 Results in Nonlinear Analysis Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces %A Shengquan Weng , Dingping Wu %T Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces %D 2018 %J Results in Nonlinear Analysis %P 26367556 %V 1 %N 2 %R %U 
ISNAD  Weng, Shengquan , Wu, Dingping . "Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces". Results in Nonlinear Analysis 1 / 2 (August 2018): 4957 . 
AMA  Weng S , Wu D . Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces. RNA. 2018; 1(2): 4957. 
Vancouver  Weng S , Wu D . Some Convergence Theorems of Modified Proximal Point Algorithms for Nonexpansive Mappings in CAT(0) Spaces. Results in Nonlinear Analysis. 2018; 1(2): 4957. 