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

Shengquan WENG; Dingping WU

Makale detayları

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

Yazarlar:

Shengquan WENG | Dingping WU

Yayıncı:

Erdal KARAPINAR

Dergi:

Results in Nonlinear Analysis 2018 Vol.1 Issue 2, pp.49-57

Belge Tipi:

Makale

Yayın Tarihi:

8/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000604940

Sıklık:

Üç Aylık

eISSN:

2636-7556

Özet:

 


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.

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Makale detayları

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

Yazarlar: Shengquan WENG | Dingping WU

Yayıncı: Erdal KARAPINAR

Dergi: Results in Nonlinear Analysis 2018 Vol.1 Issue 2, pp.49-57

Belge Tipi: Makale

Yayın Tarihi: 8/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000604940

Sıklık: Üç Aylık

eISSN: 2636-7556

Sayı

Yazarlar:

Shengquan WENG | Dingping WU

Yayıncı:

Erdal KARAPINAR

Dergi:

Results in Nonlinear Analysis 2018 Vol.1 Issue 2, pp.49-57

Belge Tipi:

Makale

Yayın Tarihi:

8/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000604940

Sıklık:

Üç Aylık

eISSN:

2636-7556