CONVERGENCE THEOREMS OF COMMON SOLUTIONS FOR FIXED POINT, VARIATIONAL INEQUALITY AND EQUILIBRIUM PROBLEMS

被引:18
|
作者
Shahzad, Naseer [1 ]
Zegeye, Habtu [2 ]
机构
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Botswana Int Univ Sci & Technol, Dept Math, Palapye, Botswana
来源
关键词
Equilibrium problem; Fixed point; Monotone mapping; Strong convergence; Variational inequality problem; NONEXPANSIVE-MAPPINGS; WEAK;
D O I
10.23952/jnva.3.2019.2.08
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to introduce an iterative process for a common solution of fixed point problem of a continuous pseudocontractive mapping, a variational inequality problem and an equilibrium problem provided their common solution exists. Moreover, a numerical example which supports our main convergence results is presented.
引用
收藏
页码:189 / 203
页数:15
相关论文
共 50 条
  • [1] Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems
    Habtu Zegeye
    Naseer Shahzad
    Mohammad Ali Alghamdi
    [J]. Fixed Point Theory and Applications, 2012
  • [2] Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems
    Zegeye, Habtu
    Shahzad, Naseer
    Alghamdi, Mohammad Ali
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [3] Strong convergence theorems for fixed point problems, variational inequality problems, and equilibrium problems
    Yao, Zhangsong
    Liou, Yeong-Cheng
    Zhu, Li-Jun
    Lo, Ching-Hua
    Wu, Chen-Chang
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [4] Strong convergence theorems for fixed point problems, variational inequality problems, and equilibrium problems
    Zhangsong Yao
    Yeong-Cheng Liou
    Li-Jun Zhu
    Ching-Hua Lo
    Chen-Chang Wu
    [J]. Journal of Inequalities and Applications, 2015
  • [5] Strong convergence theorems for solutions of fixed point and variational inequality problems
    Yu, Lanxiang
    Song, Jianmin
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [6] Strong convergence theorems for solutions of fixed point and variational inequality problems
    Lanxiang Yu
    Jianmin Song
    [J]. Journal of Inequalities and Applications, 2014
  • [7] Strong convergence theorems for variational inequality, equilibrium and fixed point problems with applications
    Wang, Shenghua
    Marino, Giuseppe
    Liou, Yeong-Cheng
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2012, 54 (01) : 155 - 171
  • [8] Strong convergence theorems for variational inequality, equilibrium and fixed point problems with applications
    Shenghua Wang
    Giuseppe Marino
    Yeong-Cheng Liou
    [J]. Journal of Global Optimization, 2012, 54 : 155 - 171
  • [9] CONVERGENCE THEOREMS FOR FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS
    Yao, Yonghong
    Liou, Yeong-Cheng
    Chen, Rudong
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2008, 9 (02) : 239 - 248
  • [10] Convergence theorems of common solutions of variational inequality and f-fixed point problems in banach spaces
    Wega, Getahun Bekele
    Zegeye, Habtu
    [J]. Applied Set-Valued Analysis and Optimization, 2021, 3 (01): : 55 - 73