A NEW MAPPING FOR FINDING A COMMON SOLUTION OF SPLIT GENERALIZED EQUILIBRIUM PROBLEM, VARIATIONAL INEQUALITY PROBLEM AND FIXED POINT PROBLEM

被引：6
|
作者：
Farid, Mohammad [1 ]
Kazmi, Kaleem Raza [2 ,3 ]
机构：
[1] Qassim Univ, Unaizah Coll Engn, Buraydah 51911, Saudi Arabia
[2] King Abdulaziz Univ, Dept Math, Fac Sci & Arts Rabigh, Jeddah, Saudi Arabia
[3] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
KOREAN JOURNAL OF MATHEMATICS | 2019年 / 27卷 / 02期
关键词：
Split generalized equilibrium problem; Variational inequality problem; Fixed-point problem; Nonexpansive mappings; VISCOSITY APPROXIMATION METHODS; ITERATIVE METHOD; CONVERGENCE;
D O I：
10.11568/kjm.2019.27.2.297
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce and study a general iterative algorithm to approximate a common solution of split generalized equilibrium problem, variational inequality problem and fixed point problem for a finite family of nonexpansive mappings in real Hilbert spaces. Further, we prove a strong convergence theorem for the sequences generated by the proposed iterative scheme. Finally, we derive some consequences from our main result. The results presented in this paper extended and unify many of the previously known results in this area.
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页码：297 / 327
页数：31
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