Convergence of an Iterative Algorithm for Systems of Variational Inequalities and Nonlinear Mappings in Banach Spaces

被引：0
|
作者：
Jeong, Jae Ug [1 ]
机构：
[1] Dong Eui Univ, Dept Math, Busan 614714, South Korea
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2015年 / 55卷 / 04期
关键词：
Nonexpansive mapping; strictly pseudo-contractive mapping; variational inequality; uniformly convex;
D O I：
10.5666/KMJ.2015.55.4.933
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the problem of convergence of an iterative algorithm for a general system of variational inequalities, a nonexpansive mapping and an eta-strictly pseudo-contractive mapping. Strong convergence theorems are established in the framework of real Banach spaces.
引用
收藏
页码：933 / 951
页数：19
相关论文
共 50 条
  • [1] Strong convergence of an iterative algorithm for variational inequalities in Banach spaces
    Yao, Yonghong
    Maruster, Stefan
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (1-2) : 325 - 329
  • [2] On an iterative algorithm for variational inequalities in Banach spaces
    Yao, Yonghong
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Liou, Yeong-Cheng
    MATHEMATICAL COMMUNICATIONS, 2011, 16 (01) : 95 - 104
  • [3] STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR A MODIFIED SYSTEM OF VARIATIONAL INEQUALITIES AND A FINITE FAMILY OF NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Jeong, Jae Ug
    KOREAN JOURNAL OF MATHEMATICS, 2015, 23 (03): : 409 - 425
  • [4] CONVERGENCE OF PARALLEL ITERATIVE ALGORITHMS FOR A SYSTEM OF NONLINEAR VARIATIONAL INEQUALITIES IN BANACH SPACES
    Jeong, Jae Ug
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2016, 34 (1-2): : 61 - 73
  • [5] Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications
    Qin, Xiaolong
    Cho, Sun Young
    Kang, Shin Min
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) : 231 - 240
  • [6] Strong Convergence of Iterative Algorithms for Variational Inequalities in Banach Spaces
    Ceng, L. C.
    Schaible, S.
    Yao, J. C.
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2009, 141 (02) : 265 - 283
  • [7] A GENERAL SYSTEM OF VARIATIONAL INEQUALITIES WITH NONLINEAR MAPPINGS IN BANACH SPACES
    Ceng, L. C.
    Cho, S. Y.
    Qin, X.
    Yao, J. C.
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2019, 20 (03) : 395 - 410
  • [8] A new iterative algorithm on nonlinear mappings in Banach spaces
    Wang, Shenghua
    Guo, Baohua
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2009, 14 (S09): : 43 - 55
  • [9] Random nonlinear variational inequalities for mappings of monotone type in banach spaces
    Chuong, NM
    Thuan, NX
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2006, 24 (03) : 489 - 499
  • [10] On systems of generalized nonlinear variational inequalities in Banach spaces
    Cho, Yeol Je
    Kang, Shin Min
    Qin, Xiaolong
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (01) : 214 - 220
12345