STRONG CONVERGENCE OF SHRINKING PROJECTION METHOD FOR GENERALIZED EQUILIBRIUM PROBLEMS, VARIATIONAL INEQUALITY PROBLEMS AND COMMON FIXED POINTS PROBLEMS IN BANACH SPACES

被引:0
|
作者
Thianwan, Tanakit [1 ,2 ]
机构
[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand
[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand
关键词
Generalized equilibrium problem; variational inequality problem; strong convergence; shrinking projection method; common fixed points; RELATIVELY NONEXPANSIVE-MAPPINGS; WEAK-CONVERGENCE; THEOREMS;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose a hybrid projection algorithm basing on the shrinking projection method which the sequences generated by our proposed scheme converge strongly to a common element of the set of solutions of a generalized equilibrium problem, the set of common fixed points of finite family of closed relatively quasi-nonexpansive mappings and the set of solutions of the variational inequality for an inverse-strongly-monotone operator in Banach spaces. Using this result, we obtain some applications in a Banach space. Some results have been obtained which extend, improve and unify many important known results in recent literature.
引用
收藏
页码:233 / 255
页数:23
相关论文
共 50 条