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
收藏
页码：969 / 975
页数：7
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