Hilbert格上双参数广义变分不等式问题解映射的保序性  

Order Preservation of Solution Correspondence to Two-parameter Generalized Variational Inequalities on Hilbert Lattices

作　　者：孙淑芹 SUN Shuqin(College of Mathematics Education, China West Normal University, Nanchong 637002)

机构地区：[1]西华师范大学公共数学学院,南充637002

出　　处：《应用数学学报》2019年第1期121-131,共11页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11801456);西华师范大学博士科研启动基金(17E085)资助项目

摘　　要：本文不假设所考虑集值映射的连续性和单调性,在可分Hilbert格上研究广义变分不等式问题的可解性,并将已有结果中单参数广义变分不等式问题解映射的保序性推广到双参数广义变分不等式问题。To study the solvability of generalized variational inequalities in Hilbert lattices,it is not requiring any kind of continuous and monotone. Using the theory of Banach lattice, this paper investigates the order-preservation of solution correspondence for twoparameter generalized variational inequalities in separable Hilbert lattices which improves the corresponding works on single-parameter generalized variational inequalities in earlier results.

关 键 词：保序性 解映射 双参数广义变分不等式 TIKHONOV正则化 Hilbert格 

分 类 号：O22[理学—运筹学与控制论] O177.91[理学—数学]