Perturbed Iterative Algorithms for Split General Mixed Variational Inequality Problem

被引：0

作者：

Zhao, Yali ^{[1
]}

Zhang, Qian ^{[1
]}

Zhang, Shuyi ^{[1
]}

机构：

[1] Bohai Univ, Coll Math & Phys, Jinzhon 121013, Liaoning, Peoples R China

来源：

PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELING AND SIMULATION (AMMS 2017) | 2017年 / 153卷

关键词：

split general mixed variational inequality problem; split general quasi-variational inequality problem; perturbed iterative algorithm; convergence;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we introduce a split general mixed variational inequality problem, which is a natural extension of a split variational inequality problem, split general quasi-variational inequality problem in Hilbert spaces. Using the resolvent operator technique, we propose two classes of perturbed iterative algorithms for the split general mixed variational inequality problem. Further, we discuss the convergence criteria of the iterative algorithms. The results presented here extend and improve many previously known results in this area.

引用

页码：40 / 44

页数：5

共 50 条

[21] GENERAL ITERATIVE ALGORITHMS FOR MONOTONE INCLUSION, VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS
Jung, Jong Soo
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2021, 58 (03) : 525 - 552
[22] Convergence analysis of an inertial accelerated iterative algorithm for solving split variational inequality problem
Ogbuisi, Ferdinard U.
Mewomo, Oluwatosin T.
ADVANCES IN PURE AND APPLIED MATHEMATICS, 2019, 10 (04) : 339 - 353
[23] An iterative algorithm for split equality of variational inequality problem of a finite family of pseudomonotone mappings
A-Gojjam, Mohammedhawi
Wega, Getahun Bekele
Worku, Mafuz
FILOMAT, 2024, 38 (16) : 5637 - 5654
[24] 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,
[25] 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
[26] 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
[27] A GENERAL INERTIAL PROXIMAL POINT ALGORITHM FOR MIXED VARIATIONAL INEQUALITY PROBLEM
Chen, Caihua
Ma, Shiqian
Yang, Junfeng
SIAM JOURNAL ON OPTIMIZATION, 2015, 25 (04) : 2120 - 2142
[28] 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
[29] The General Iterative Methods for a Split Feasibility Problem and a Mixed Equilibrium Problem in a Hilbert Space
Rattanaseeha, Kiattisak
THAI JOURNAL OF MATHEMATICS, 2022, 20 (01): : 487 - 501
[30] General iterative algorithms for solving mixed quasi-variational-like inclusions
Zeng, Lu-Chuan
Ansari, Qamrul Hasan
Yao, Jen-Chih
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) : 2455 - 2467

← 1 2 3 4 5 →