Iterative algorithms for finding a common solution of system of the set of variational inclusion problems and the set of fixed point problems

被引：10
|
作者：
Kangtunyakarn, Atid [1 ]
机构：
[1] King Mongkuts Inst Technol Ladkrabang, Dept Math, Fac Sci, Bangkok 10520, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2011年
关键词：
nonexpansive mapping; strict pseudo contraction; strongly positive operator; variational inclusion problem; fixed point; NONEXPANSIVE-MAPPINGS; STRONG-CONVERGENCE; HILBERT-SPACES; BANACH-SPACES; INEQUALITIES;
D O I：
10.1186/1687-1812-2011-38
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce a new mapping generated by infinite family of nonexpansive mapping and infinite real numbers. By means of the new mapping, we prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of nonexpansive mappings and the set of a finite family of variational inclusion problems in Hilbert space. In the last section, we apply our main result to prove a strong convergence theorem for finding a common element of the set of fixed point problems of infinite family of strictly pseudo-contractive mappings and the set of finite family of variational inclusion problems.
引用
收藏
页数：16
相关论文
共 50 条
  • [11] A New Iterative Method for Finding Common Solutions of a System of Equilibrium Problems, Fixed-Point Problems, and Variational Inequalities
    Peng, Jian-Wen
    Wu, Soon-Yi
    Yao, Jen-Chih
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [12] Algorithms of common solutions to quasi variational inclusion and fixed point problems
    张石生
    李向荣
    陈志坚
    AppliedMathematicsandMechanics(EnglishEdition), 2008, (05) : 571 - 581
  • [13] Algorithms of common solutions to quasi variational inclusion and fixed point problems
    Shi-sheng Zhang
    Joseph H. W. Lee
    Chi Kin Chan
    Applied Mathematics and Mechanics, 2008, 29 : 571 - 581
  • [14] Algorithms of common solutions to quasi variational inclusion and fixed point problems
    Zhang Shi-sheng
    Lee Joseph H. W
    Chan Chi Kin
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2008, 29 (05) : 571 - 581
  • [15] General iterative algorithms for mixed equilibrium problems, variational inequalities and fixed point problems
    Wang, Xiao-Jie
    Ceng, Lu-Chuan
    Hu, Hui-Ying
    Li, Shi-Xiu
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [16] AN EXPLICIT ITERATIVE METHOD FOR FINDING A COMMON SOLUTION OF EQUILIBRIUM AND FIXED POINT PROBLEMS
    Chen, Rudong
    Fan, Qinwei
    Xu, Hong-Kun
    FIXED POINT THEORY, 2010, 11 (02): : 225 - 236
  • [17] Iterative Algorithms for Systems of Generalized Equilibrium Problems with the Constraints of Variational Inclusion and Fixed Point Problems
    Ceng, Lu-Chuan
    Latif, Abdul
    Al-Mazrooei, Abdullah E.
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [18] AN ITERATIVE ALGORITHM FOR THE SPLIT VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS
    Yao, Yonghong
    Qin, Xiaowei
    Shahzad, Naseer
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (04) : 933 - 942
  • [19] A NEW ALGORITHM FOR FINDING A COMMON SOLUTION OF A SPLIT VARIATIONAL INEQUALITY PROBLEM, THE FIXED POINT PROBLEMS AND THE VARIATIONAL INCLUSION PROBLEMS
    Sun, Wenlong
    Liu, Yanqiu
    Jin, Yuanfeng
    Park, Choonkil
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (04): : 1677 - 1693
  • [20] Inertial Iterative Algorithms for Split Variational Inclusion and Fixed Point Problems
    Filali, Doaa
    Dilshad, Mohammad
    Alyasi, Lujain Saud Muaydhid
    Akram, Mohammad
    AXIOMS, 2023, 12 (09)
12345