The Iterative Method for Generalized Equilibrium Problems and a Finite Family of Lipschitzian Mappings in Hilbert Spaces

被引：0
|
作者：
Kangtunyakarn, Atid [1 ]
Suwannaut, Sarawut [2 ]
机构：
[1] King Mongkuts Inst Technol Ladkrabang, Fac Sci, Dept Math, Bangkok 10520, Thailand
[2] Lampang Rajabhat Univ, Fac Sci, Dept Math, Lampang 52100, Thailand
来源：
JOURNAL OF MATHEMATICS | 2022年 / 2022卷
关键词：
VISCOSITY APPROXIMATION METHODS; FIXED-POINT PROBLEMS; VARIATIONAL-INEQUALITIES; NONEXPANSIVE-MAPPINGS; NONLINEAR MAPPINGS; COMMON SOLUTIONS; CONVERGENCE;
D O I：
10.1155/2022/8686041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this research, we introduced the S-mapping generated by a finite family of contractive mappings, Lipschitzian mappings and finite real numbers using the results of Kangtunyakarn (2013). Then, we prove the strong convergence theorem for fixed point sets of finite family of contraction and Lipschitzian mapping and solution sets of the modified generalized equilibrium problem introduced by Suwannaut and Kangtunyakarn (2014). Finally, numerical examples are provided to illustrate our main theorem.
引用
收藏
页数：23
相关论文
共 50 条
  • [1] Viscosity Approximation Methods for Generalized Equilibrium Problems and Fixed Point Problems of Finite Family of Nonexpansive Mappings in Hilbert Spaces
    Inprasit, U.
    [J]. THAI JOURNAL OF MATHEMATICS, 2010, 8 (03): : 607 - 626
  • [2] A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces
    Urailuk Singthong
    Suthep Suantai
    [J]. Fixed Point Theory and Applications, 2010
  • [3] Strong Convergence of a New Iterative Method for Infinite Family of Generalized Equilibrium and Fixed-Point Problems of Nonexpansive Mappings in Hilbert Spaces
    Shenghua Wang
    Baohua Guo
    [J]. Fixed Point Theory and Applications, 2011
  • [4] ITERATIVE METHODS FOR GENERALIZED EQUILIBRIUM PROBLEMS, SYSTEMS OF GENERAL GENERALIZED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS FOR NONEXPANSIVE MAPPINGS IN HILBERT SPACES
    Ceng, L. -C.
    Ansari, Q. H.
    Schaible, S.
    Yao, J. -C.
    [J]. FIXED POINT THEORY, 2011, 12 (02): : 293 - 308
  • [5] Strong Convergence of a New Iterative Method for Infinite Family of Generalized Equilibrium and Fixed-Point Problems of Nonexpansive Mappings in Hilbert Spaces
    Wang, Shenghua
    Guo, Baohua
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [6] A New General Iterative Method for a Finite Family of Nonexpansive Mappings in Hilbert Spaces
    Singthong, Urailuk
    Suantai, Suthep
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [7] Viscosity method for generalized equilibrium problems with perturbation and nonexpansive mappings in Hilbert spaces
    Taherian, Mahdi
    Azhini, Mahdi
    [J]. JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, 2019, 40 (07): : 1367 - 1390
  • [8] On generalized equilibrium problems and strictly pseudocontractive mappings in Hilbert spaces
    Chunyan Huang
    Xiaoyan Ma
    [J]. Fixed Point Theory and Applications, 2014
  • [9] On generalized equilibrium problems and strictly pseudocontractive mappings in Hilbert spaces
    Huang, Chunyan
    Ma, Xiaoyan
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [10] A new iterative algorithm of pseudomonotone mappings for equilibrium problems in Hilbert spaces
    Kim, Jong Kyu
    Lim, Won Hee
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
12345