Hilbert格上双参数广义变分不等式问题解映射的保序性

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Hilbert格上双参数广义变分不等式问题解映射的保序性孙淑芹西华师范大学公共数学学院, 南充 637002 Order Preservation of Solution Correspondence to Two-parameter Generalized Variational Inequalities on Hilbert Lattices SUN ShuqinCollege of Mathematics Education, China West Normal University, Nanchong 637002

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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.

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收稿日期: 2018-01-29

PACS:	O22
	O177.91

基金资助: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.

引用本文:

孙淑芹. Hilbert格上双参数广义变分不等式问题解映射的保序性[J]. 应用数学学报, 2019, 42(1): 121-131. SUN Shuqin. Order Preservation of Solution Correspondence to Two-parameter Generalized Variational Inequalities on Hilbert Lattices. Acta Mathematicae Applicatae Sinica, 2019, 42(1): 121-131.

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