On split generalised mixed equilibrium problems and fixed-point problems with no prior knowledge of operator norm

被引：28
|
作者：
Ogbuisi, F. U. [1 ,2 ]
Mewomo, O. T. [1 ]
机构：
[1] Univ KwaZulu Natal, Sch Math Stat & Comp Sci, Durban, South Africa
[2] DST NRF Ctr Excellence Math & Stat Sci CoE MaSS, Johannesburg, South Africa
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
kappa-Pseudocontraction; Hilbert space; split generalised mixed equilibrium problem; fixed point; bounded linear operator; strong convergence; STRONG-CONVERGENCE THEOREMS; STRICT PSEUDO-CONTRACTIONS; HYBRID ITERATIVE METHOD; VARIATIONAL-INEQUALITIES; APPROXIMATION METHOD; EXTRAGRADIENT METHOD; MAPPINGS;
D O I：
10.1007/s11784-016-0397-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to introduce an iterative algorithm that does not require any knowledge of the operator norm for approximating a solution of a split generalised mixed equilibrium problem which is also a fixed point of a -strictly pseudocontractive mapping. Furthermore, a strong convergence theorem for approximating a common solution of a split generalised mixed equilibrium problem and a fixed-point problem for -strictly pseudocontractive mapping was stated and proved in the frame work of Hilbert spaces.
引用
收藏
页码：2109 / 2128
页数：20
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