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.

引用

页码：297 / 327

页数：31

共 50 条

[1] The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem
Karahan, Ibrahim
Secer, Aydin
Ozdemir, Murat
Bayram, Mustafa
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
[2] The common solution for a generalized equilibrium problem, a variational inequality problem and a hierarchical fixed point problem
Ibrahim Karahan
Aydin Secer
Murat Ozdemir
Mustafa Bayram
Journal of Inequalities and Applications, 2015
[3] Algorithm for split variational inequality, split equilibrium problem and split common fixed point problem
Rathee, Savita
Swami, Monika
AIMS MATHEMATICS, 2022, 7 (05): : 9325 - 9338
[4] AN ITERATIVE METHOD FOR A COMMON SOLUTION OF A SPLIT GENERALIZED EQUILIBRIUM PROBLEM, A COMBINATION OF VARIATIONAL INEQUALITY PROBLEM AND HIERARCHICAL FIXED POINT PROBLEM FOR A FINITE FAMILY OF NONEXPANSIVE MAPPING
Hay, Ihssane
Bnouhachem, Abdellah
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (10) : 2237 - 2255
[5] Algorithms of common solutions for a variational inequality, a split equilibrium problem and a hierarchical fixed point problem
Bnouhachem, Abdellah
FIXED POINT THEORY AND APPLICATIONS, 2013,
[6] Algorithms of common solutions for a variational inequality, a split equilibrium problem and a hierarchical fixed point problem
Abdellah Bnouhachem
Fixed Point Theory and Applications, 2013
[7] 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
[8] COMMON SOLUTION TO A SPLIT EQUALITY MONOTONE VARIATIONAL INCLUSION PROBLEM, A SPLIT EQUALITY GENERALIZED GENERAL VARIATIONAL-LIKE INEQUALITY PROBLEM AND A SPLIT EQUALITY FIXED POINT PROBLEM
Kazmi, K. R.
Ali, Rehan
Furkan, Mohd
FIXED POINT THEORY, 2019, 20 (01): : 211 - 231
[9] Split equality problem with equilibrium problem, variational inequality problem, and fixed point problem of nonexpansive semigroups
Latif, Abdul
Eslamian, Mohammad
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 3217 - 3230
[10] Iterative approximation of a common solution of split equilibrium, split variational inequality, and fixed point problem for a nonexpansive semigroup
Rizvi, Shuja H.
Sikander, Fahad
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (08) : 4343 - 4364

← 1 2 3 4 5 →