Approximation solvability of a class of nonlinear set-valued variational inclusions involving (A, η)-monotone mappings

被引：68

作者：

Verma, Ram U. ^{[1
]}

机构：

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 337卷 / 02期

关键词：

(A; eta)-monotone mapping; class of nonlinear set-valued variational inclusions; resolvent operator method; iterative algorithm;

D O I：

10.1016/j.jmaa.2007.01.114

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new class of nonlinear set-valued variational inclusions involving (A, eta)-monotone mappings in a Hilbert space setting is introduced, and then based on the generalized resolvent operator technique associated with (A, eta)-monotonicity, the existence and approximation solvability of solutions using an iterative algorithm is investigated. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：969 / 975

页数：7

共 50 条

[21] Generalized nonlinear variational inclusions involving (A,η)-monotone mappings in Hilbert spaces
Cho, Yeol Je
Qin, Xiaolong
Shang, Meijuan
Su, Yongfu
FIXED POINT THEORY AND APPLICATIONS, 2007, 2007 (1)
[22] Set-valued quasi variational inclusions
Department of Mathematics and Statistics, Dalhousie University, Halifax, NS, Canada
Journal of Applied Mathematics and Computing, 2000, 7 (01) : 101 - 113
[23] Set-valued quasi variational inclusions
Muhammad Aslam Noor
Korean Journal of Computational and Applied Mathematics, 2000, 7 (1): : 101 - 113
[24] A new system of set-valued variational inclusions with H-monotone operators
Yan, WY
Fang, YP
Huang, NJ
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (03): : 537 - 546
[25] New general systems of set-valued variational inclusions involving relative (A, η)-maximal monotone operators in Hilbert spaces
Xiong, Ting-jian
Lan, Heng-you
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[26] Iterative Algorithms for New General Systems of Set-Valued Variational Inclusions Involving (A, η)-Maximal Relaxed Monotone Operators
Xiong, Ting-jian
Lan, Heng-you
JOURNAL OF APPLIED MATHEMATICS, 2014,
[27] Existence and approximation of solutions for set-valued variational inclusions in Banach space
Chang, SS
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (01) : 583 - 594
[28] Graph Convergence and Iterative Approximation of Solution of a Set-Valued Variational Inclusions
Khan, Faizan Ahmad
Gupta, Sanjeev
JOURNAL OF MATHEMATICS, 2022, 2022
[29] New general systems of set-valued variational inclusions involving relative (A,η)-maximal monotone operators in Hilbert spaces
Ting-jian Xiong
Heng-you Lan
Journal of Inequalities and Applications, 2014
[30] Iterative Algorithms for a System of Variational Inclusions Involving Set-Valued Quasi-Contractive Mappings in Banach Spaces
Qiu, Yangqing
Liu, Xiaomei
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021, 42 (08) : 865 - 882

← 1 2 3 4 5 →