自反巴拿赫空间中方向扰动的广义混合变分不等式的可解性

数学物理学报 ›› 2018, Vol. 38 ›› Issue (6): 1144-1152.

自反巴拿赫空间中方向扰动的广义混合变分不等式的可解性

罗雪萍*(),崔梦天

西南民族大学计算机科学与技术学院成都 610041

收稿日期:2017-10-20 出版日期:2018-12-26 发布日期:2018-12-27
通讯作者: 罗雪萍 E-mail:xuepingluo2014@outlook.com
基金资助:
国家自然科学基金(11701480);西南民族大学中央高校基本科研业务费基金(2018HQZZ23);四川省教育厅重点项目(18ZA0511);西南民族大学创新团队基金(14CXTD03);四川省教育厅创新团队项目(15TD0050);四川省青年科技创新研究团队项目(2017TD0028)

Solvability of Directional Perturbed Generalized Mixed Variational Inequalities in Reflexive Banach Spaces

Xueping Luo*(),Mengtian Cui

College of Computer Science and Technology, Southwest University for Nationalities, Chengdu 610041

Received:2017-10-20 Online:2018-12-26 Published:2018-12-27
Contact: Xueping Luo E-mail:xuepingluo2014@outlook.com
Supported by:
the NSFC(11701480);the Fundamental Research Funds for the Central Universities of Southwest University for Nationalities(2018HQZZ23);the Key Projects of the Education Department of Sichuan Province(18ZA0511);the Innovation Team Funds of Southwest University for Nationalities(14CXTD03);the Innovative Research Team of the Education Department of Sichuan Province(15TD0050);the Sichuan Youth Science and Technology Innovation Research Team(2017TD0028)

摘要/Abstract

摘要：

该文给出了在自反巴拿赫空间中，一个强制条件下，方向扰动的广义混合变分不等式的可解性.其中，关于集合受方向扰动的研究结果是全新的.该文改进与推广了一些已有的结果（数学物理学报，2016，36A（3）：473-480）.

关键词: 广义混合变分不等式, 可解性, 方向扰动, 强制条件

Abstract:

Solvability of directional perturbed generalized mixed variational inequalities is discussed in reflexive Banach spaces, under a coercivity condition. In particular, the result we present that the set is directional perturbed is new. Our results generalize and extend some known results in this area (Acta Math Sci, 2016, 36A(3):473-480).

Key words: Generalized mixed variational inequality, Existence and boundedness, Directional perturbation, Coercivity condition

中图分类号:

O177.91

罗雪萍, 崔梦天. 自反巴拿赫空间中方向扰动的广义混合变分不等式的可解性[J]. 数学物理学报, 2018, 38(6): 1144-1152.

Xueping Luo, Mengtian Cui. Solvability of Directional Perturbed Generalized Mixed Variational Inequalities in Reflexive Banach Spaces[J]. Acta mathematica scientia,Series A, 2018, 38(6): 1144-1152.

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