Generalized set-valued variational inclusions and resolvent equations

被引：110

作者：

Noor, MA ^{[1
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 228卷 / 01期

关键词：

variational inequalities; resolvent equations; iterative methods; convergence criteria;

D O I：

10.1006/jmaa.1998.6127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the equivalence between the generalized set-valued variational inclusions, the resolvent equations, and the fixed-point problem, using the resolvent operator technique. This equivalence is used to suggest and analyze some iterative algorithms for solving the generalized set-valued variational inclusions and related optimization problems. (C) 1998 Academic Press.

引用

页码：206 / 220

页数：15

共 50 条

[41] Generalized set-valued variational-like inclusions involving H(⋅,⋅)-η-cocoercive operator in Banach spaces
Rais Ahmad
Mohd Dilshad
Mu-Ming Wong
Jen-Chin Yao
Journal of Inequalities and Applications, 2012
[42] Iterative approximation of solutions for a class of completely. generalized set-valued quasi-variational inclusions
Ceng, Lu-Chuan
Guu, Sy-Ming
Yao, Jen-Chih
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (04) : 978 - 987
[43] New iterative approximation for a system of generalized nonlinear variational inclusions with set-valued mappings in Banach spaces
Lan, HY
Huang, NJ
Cho, YJ
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2006, 9 (01): : 175 - 187
[44] Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions
Khan, Faizan Ahmad
Gupta, Sanjeev
JOURNAL OF MATHEMATICS, 2022, 2022
[45] Some algorithms for a class of set-valued variational inclusions in Frechet Spaces
Shi, Chaofeng
Huang, Nan-jing
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (02) : 272 - 281
[46] Further on Set-Valued Equilibrium Problems and Applications to Browder Variational Inclusions
Alleche, Boualem
Radulescu, Vicentiu D.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2017, 175 (01) : 39 - 58
[47] Further on Set-Valued Equilibrium Problems and Applications to Browder Variational Inclusions
Boualem Alleche
Vicenţiu D. Rădulescu
Journal of Optimization Theory and Applications, 2017, 175 : 39 - 58
[48] The generalized set-valued strongly nonlinear implicit variational inequalities
Huang, NJ
Liu, YP
Tang, YY
Bai, MR
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (10) : 29 - 36
[49] Generalized set-valued mixed nonlinear quasi variational inequalities
Department of Mathematics College of Science, King Saud University, Riyadh
11451, Saudi Arabia
J. Appl. Math. Comp., 1 (73-89):
[50] Generalized set-valued mixed nonlinear quasi variational inequalities
Muhammad Aslam Noor
Korean Journal of Computational & Applied Mathematics, 1998, 5 (1): : 73 - 89

← 1 2 3 4 5 →