| 积集上相对单调的似变分不等式 |
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| 引用本文： | 杨凤.积集上相对单调的似变分不等式[J].四川理工学院学报(自然科学版),2011(6):722-725. |
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| 作者姓名： | 杨凤 |
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| 作者单位： | 西华师范大学数学与信息学院 |
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| 基金项目： | 教育部科学技术重点项目(211163) |
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| 摘 要： | 在Banach空间中研究了一类在积集上相对单调的似变分不等式问题(VLIP)。针对这类似变分不等式问题(VLIP),给出了新的单调性概念的定义,得到了该类似变分不等式解集刻画及解的存在性,并推广了文献中Konnov得到的相应结果。
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| 关 键 词： | 似变分不等式 积集 相对单调性 存在性 Banach空间 |
Relatively Monotone Variational-like Inequalities over Product Sets |
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| YANG Feng.Relatively Monotone Variational-like Inequalities over Product Sets[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2011(6):722-725. |
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| Authors: | YANG Feng |
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| Institution: | YANG Feng(College of Mathematics and Information,China West Normal University,Nanchong 637009,China) |
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| Abstract: | The relatively monotone variational-like inequalities over product sets in Banach spaces are introduced.Some definitions of new monotonicity concepts for the variational-like inequalities are presented,and the characterizations of solutions set and existence of solutions for the variational-like inequalities are investigated.The corresponding results of Konnov's in reference are extended. |
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| Keywords: | variational-like inequalities product sets relative monotonicity existence results Banach spaces |
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