Generalized System for Relaxed Cocoercive Mixed Variational Inequalities and Iterative Algorithms in Hilbert Spaces

被引：1
|
作者：
Zhang, Shuyi [1 ]
Guo, Xinqi [2 ]
Luan, Dan
机构：
[1] BoHai Univ, Dept Math, Jinzhou 121013, Liaoning, Peoples R China
[2] Dalian City 37 Middle Sch, Dalian 116011, Peoples R China
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2012年 / 20卷 / 03期
关键词：
relaxed cocoercive mixed variational inequality; resolvent method; relaxed cocoercive mapping; convergence of resolvent method; PROJECTION METHODS;
D O I：
10.2478/v10309-012-0060-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The approximate solvability of a generalized system for relaxed cocoercive mixed variational inequality is studied by using the resolvent operator technique. The results presented in this paper extend and improve the main results of Chang et al. [1], He and Gu [2] and Verma [3, 4].
引用
收藏
页码：131 / 139
页数：9
相关论文
共 50 条
  • [31] Existence and approximation of solutions for system of generalized mixed variational inequalities
    Thakur, Balwant Singh
    Khan, Mohammad Saeed
    Kang, Shin Min
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [32] Algorithms for a System of General Variational Inequalities in Banach Spaces
    Zhu, Jin-Hua
    Chang, Shih-Sen
    Liu, Min
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [33] A new hybrid iterative method for mixed equilibrium problems and variational inequality problem for relaxed cocoercive mappings with application to optimization problems
    Kumam, Poom
    Jaiboon, Chaichana
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 510 - 530
  • [34] Inertial iterative algorithms for common solution of variational inequality and system of variational inequalities problems
    Sahu, D. R.
    Singh, Amit Kumar
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2021, 65 (1-2) : 351 - 378
  • [35] Existence and approximation of solutions for system of generalized mixed variational inequalities
    Balwant Singh Thakur
    Mohammad Saeed Khan
    Shin Min Kang
    Fixed Point Theory and Applications, 2013
  • [36] Algorithms with strong convergence for a system of nonlinear variational inequalities in Banach spaces
    Yao, Yonghong
    Liou, Yeong-Cheng
    Kang, Shin Min
    Yu, Youli
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) : 6024 - 6034
  • [37] Existence of solutions of a new system of generalized variational inequalities in Banach spaces
    Plubtieng, Somyot
    Thammathiwat, Tipphawan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [38] Viscosity iterative method for a new general system of variational inequalities in Banach spaces
    Imnang, Suwicha
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [39] Viscosity iterative method for a new general system of variational inequalities in Banach spaces
    Suwicha Imnang
    Journal of Inequalities and Applications, 2013
  • [40] Systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces
    Agarwal, Ravi P.
    Cho, Yeol J. E.
    Petrot, Narin
    FIXED POINT THEORY AND APPLICATIONS, 2011,
12345