New viscosity method for hierarchical fixed point approach to variational inequalities

被引：3
|
作者：
Deng, Wei-Qi [1 ]
机构：
[1] Yunnan Univ Finance & Econ, Kunming 650221, Yunnan, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
基金：
中国国家自然科学基金;
关键词：
hierarchical fixed point; variational inequality; nonexpansive mappings; viscosity approximation; ITERATION;
D O I：
10.1186/1687-1812-2013-219
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A new viscosity method for hierarchically approximating some common fixed point of an infinite family of nonexpansive mappings is presented; and some strong convergence theorems for solving variational inequality problems and hierarchical fixed point problems are obtained without the aid of the convex linear combination of a countable family of nonexpansive mappings. Solutions are sought in the set of fixed points of another nonexpansive mapping. The results improve those of the authors with the related interest.
引用
收藏
页数：10
相关论文
共 50 条
  • [21] A Two-Step Extragradient-Viscosity Method for Variational Inequalities and Fixed Point Problems
    Dang Van Hieu
    Dang Xuan Son
    Pham Ky Anh
    Le Dung Muu
    Acta Mathematica Vietnamica, 2019, 44 : 531 - 552
  • [22] A Fixed Point Approach of Variational-Hemivariational Inequalities
    Hu, Rong
    Sofonea, Mircea
    Xiao, Yi-Bin
    CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (03) : 573 - 581
  • [23] Hybrid Viscosity Approaches to General Systems of Variational Inequalities with Hierarchical Fixed Point Problem Constraints in Banach Spaces
    Ceng, Lu-Chuan
    Al-Mezel, Saleh A.
    Latif, Abdul
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [24] Iterative methods for hierarchical common fixed point problems and variational inequalities
    Sahu D.R.
    Kang S.M.
    Sagar V.
    Fixed Point Theory and Applications, 2013 (1)
  • [25] Iterative methods for hierarchical common fixed point problems and variational inequalities
    Sahu, D. R.
    Kang, Shin Min
    Sagar, Vidya
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [26] A GENERAL VISCOSITY APPROXIMATION METHOD OF FIXED POINT SOLUTIONS OF VARIATIONAL INEQUALITIES FOR NONEXPANSIVE SEMIGROUPS IN HILBERT SPACES
    Plubtieng, Somyot
    Wangkeeree, Rattanaporn
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) : 717 - 728
  • [27] Viscosity approximations considering boundary point method for fixed-point and variational inequalities of quasi-nonexpansive mappings
    Wenlong Zhu
    Junting Zhang
    Xue Liu
    Computational and Applied Mathematics, 2020, 39
  • [28] Viscosity approximations considering boundary point method for fixed-point and variational inequalities of quasi-nonexpansive mappings
    Zhu, Wenlong
    Zhang, Junting
    Liu, Xue
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (01):
  • [29] Hybrid viscosity methods for equilibrium problems, variational inequalities, and fixed point problems
    Ceng, L. C.
    Latif, A.
    Al-Mazrooei, A. E.
    APPLICABLE ANALYSIS, 2016, 95 (05) : 1088 - 1117
  • [30] Iterative Algorithms Approach to Variational Inequalities and Fixed Point Problems
    Liou, Yeong-Cheng
    Yao, Yonghong
    Tseng, Chun-Wei
    Lin, Hui-To
    Yang, Pei-Xia
    ABSTRACT AND APPLIED ANALYSIS, 2012,
12345