Sensitivity analysis for generalized nonlinear parametric <textbox>(A,η,m)textbox>-maximal monotone operator inclusion systems with relaxed cocoercive type operators

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• 作者：Heng-you Lan
• 关键词：Sensitive analysis ; Relaxed cocoercive operator ; Generalized nonlinear parametric style=""text-decoration ; none ; color ; black"" href=""/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-511G1M8-1&_mathId=mml4&_user=10&_cdi=5659&_pii=S036254
• 刊名：Nonlinear Analysis
• 出版年：2011
• 出版时间：15 January 2011
• 年：2011
• 卷：74
• 期：2
• 页码：386-395
• 全文大小：259 K

文摘

By using Lim’s inequalities, Nadler’s results, the new parametric resolvent operator technique associated with (A,η,m)-maximal monotone operators, in this paper, the existence theorem for a new class of generalized nonlinear parametric (A,η,m)-maximal monotone operator inclusion systems with relaxed cocoercive type operators in Hilbert spaces is analyzed and established. Our results generalize sensitivity analysis results of other recent works on strongly monotone quasi-variational inclusions, nonlinear implicit quasi-variational inclusions and nonlinear mixed quasi-variational inclusion systems in Hilbert spaces.