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局部G-凸空间内的广义矢量拟平衡问题

丁协平

丁协平. 局部G-凸空间内的广义矢量拟平衡问题[J]. 应用数学和力学, 2005, 26(5): 519-526.
引用本文: 丁协平. 局部G-凸空间内的广义矢量拟平衡问题[J]. 应用数学和力学, 2005, 26(5): 519-526.
DING Xie-ping. Generalized Vector Quasi-Equilibrium Problems in Locally G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2005, 26(5): 519-526.
Citation: DING Xie-ping. Generalized Vector Quasi-Equilibrium Problems in Locally G-Convex Spaces[J]. Applied Mathematics and Mechanics, 2005, 26(5): 519-526.

局部G-凸空间内的广义矢量拟平衡问题

基金项目: 四川省教育厅重点科研基金资助项目(2003A081;SZD0406)
详细信息
    作者简介:

    丁协平(1938- ),男,四川自贡人,教授(E-mail:dingxip@sicnu.edu.cn).

  • 中图分类号: O255;O177.92

Generalized Vector Quasi-Equilibrium Problems in Locally G-Convex Spaces

  • 摘要: 在局部G-凸空间内引入和研究了几类广义矢量拟平衡问题(GVQEP).包含了大多数广义矢量平衡问题,广义矢量变分不等式问题,拟平衡问题和拟变分不等式问题作为特殊情形.首先在局部G-凸空间内对一人对策证明了一个平衡存在性定理.作为应用,在非紧局部G-凸空间内对GVQEP的解建立了某些新的存在定理.这些结果和论证方法与最近文献中的结果和论证方法相比较是新的和完全不同的.
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出版历程
  • 收稿日期:  2003-06-30
  • 修回日期:  2005-01-18
  • 刊出日期:  2005-05-15

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