Convergence of an explicit scheme for nonexpansive semigroups in Banach spaces

被引：2
|
作者：
Wen, Meng [1 ]
Hu, Changsong [2 ]
Cui, Angang [3 ]
Peng, Jigen [4 ]
机构：
[1] Xian Polytech Univ, Sch Sci, Xian 710048, Shaanxi, Peoples R China
[2] Hubei Normal Univ, Dept Math, Huangshi 435002, Hubei, Peoples R China
[3] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
[4] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2019年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
MKC; nonexpansive semigroup; fixed point; variational inequality; Banach space; FIXED-POINT; RETRACTIONS; CONSTRUCTION;
D O I：
10.1007/s11784-019-0688-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we introduce a composite iterative scheme with Meir-Keeler contractions for nonexpansive semigroups in a q-uniformly smooth and strictly convex Banach space which admits a weakly sequentially continuous duality mapping. We also prove strong convergence theorems for the composite iterative schemes. Our results improve and extend several recent results.
引用
收藏
页数：13
相关论文
共 50 条
  • [21] Total quasi-φ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces
    Chang, Shih-sen
    Kim, Jong Kyu
    Wang, Lin
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [22] CONVERGENCE OF IMPLICIT AND EXPLICIT SCHEMES FOR A FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Wen, Meng
    Hu, Changsong
    Tang, Yuchao
    Peng, Jigen
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (09) : 2083 - 2093
  • [23] Viscosity Approximation Method for Nonexpansive Semigroups in Banach Spaces
    Thong D.V.
    Dung L.A.
    [J]. Vietnam Journal of Mathematics, 2014, 42 (1) : 63 - 72
  • [24] The general iterative methods for nonexpansive semigroups in Banach spaces
    Rattanaporn Wangkeeree
    Rabian Wangkeeree
    [J]. Journal of Global Optimization, 2013, 55 : 417 - 436
  • [25] The general iterative methods for nonexpansive semigroups in Banach spaces
    Wangkeeree, Rattanaporn
    Wangkeeree, Rabian
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2013, 55 (02) : 417 - 436
  • [26] Strong convergence of Mann's-type iterations for nonexpansive semigroups in general Banach spaces
    Atsushiba, S
    Takahashi, W
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (06) : 881 - 899
  • [27] Convergence Theorems for Generalized Viscosity Explicit Methods for Nonexpansive Mappings in Banach Spaces and Some Applications
    Sunthrayuth, Pongsakorn
    Pakkaranang, Nuttapol
    Kumam, Poom
    Thounthong, Phatiphat
    Cholamjiak, Prasit
    [J]. MATHEMATICS, 2019, 7 (02)
  • [28] An explicit construction of sunny nonexpansive retractions in Banach spaces
    Arkady Aleyner
    Simeon Reich
    [J]. Fixed Point Theory and Applications, 2005
  • [29] An explicit construction of sunny nonexpansive retractions in Banach spaces
    Aleyner, Arkady
    Reich, Simeon
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2005, 2005 (03) : 295 - 305
  • [30] Convergence theorems for nonexpansive semigroups in CAT(0) spaces
    Cho, Yeol Je
    Ciric, Ljubomir
    Wang, Sheng-hua
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6050 - 6059
12345