Iterative Methods for Equilibrium Problems and Monotone Inclusion Problems in Hilbert Spaces

被引：2
|
作者：
Wu, Huan-chun [1 ]
Cheng, Cao-zong [1 ]
机构：
[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
关键词：
STRONG-CONVERGENCE THEOREMS; HALPERNS TYPE; OPERATORS;
D O I：
10.1155/2013/280909
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new iterative method for finding a common element of the set of solutions of an equilibrium problem and the set of zeros of the sum of maximal monotone operators, and we obtain strong convergence theorems in Hilbert spaces. We also apply our results to the variational inequality and convex minimization problems. Our results extend and improve the recent result of Takahashi et al. (2012).
引用
收藏
页数：7
相关论文
共 50 条
  • [1] ITERATIVE SOLUTIONS OF SPLIT FIXED POINT AND MONOTONE INCLUSION PROBLEMS IN HILBERT SPACES
    Mewomo O.T.
    Okeke C.C.
    Ogbuisi F.U.
    Journal of Applied and Numerical Optimization, 2023, 5 (02): : 271 - 285
  • [2] AN INERTIAL ITERATIVE METHOD FOR SOLVING SPLIT MONOTONE INCLUSION PROBLEMS IN HILBERT SPACES
    Mebawondu, Akindele Adebayo
    Sunday, Akunna Sunsan
    Narain, Ojen Kumar
    Maharaj, Adhir
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2024,
  • [3] Iterative methods for zeros of a monotone variational inclusion in Hilbert spaces
    Nguyen Buong
    Pham Thi Thu Hoai
    Calcolo, 2018, 55
  • [4] Iterative methods for zeros of a monotone variational inclusion in Hilbert spaces
    Nguyen Buong
    Pham Thi Thu Hoai
    CALCOLO, 2018, 55 (01) : 1 - 18
  • [5] Iterative methods for vector equilibrium and fixed point problems in Hilbert spaces
    San-hua Wang
    Yu-xin Zhang
    Wen-jun Huang
    Journal of Inequalities and Applications, 2022
  • [6] Iterative methods for vector equilibrium and fixed point problems in Hilbert spaces
    Wang, San-hua
    Zhang, Yu-xin
    Huang, Wen-jun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [7] Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces
    Pham Ngoc Anh
    Ho Phi Tu
    Numerical Algorithms, 2021, 86 : 55 - 74
  • [8] Subgradient projection methods extended to monotone bilevel equilibrium problems in Hilbert spaces
    Anh, Pham Ngoc
    Tu, Ho Phi
    NUMERICAL ALGORITHMS, 2021, 86 (01) : 55 - 74
  • [9] A general inexact iterative method for monotone operators, equilibrium problems and fixed point problems of semigroups in Hilbert spaces
    Colao, Vittorio
    Marino, Giuseppe
    Sahu, Daya Ram
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [10] An inertial based forward–backward algorithm for monotone inclusion problems and split mixed equilibrium problems in Hilbert spaces
    Yasir Arfat
    Poom Kumam
    Parinya Sa Ngiamsunthorn
    Muhammad Aqeel Ahmad Khan
    Advances in Difference Equations, 2020
12345