局部FC-一致空间内的广义矢量拟变分包含组和广义矢量拟优化问题组

丁协平

局部FC-一致空间内的广义矢量拟变分包含组和广义矢量拟优化问题组

丁协平

四川师范大学数学与软件科学学院,成都 610066

基金项目: 四川省教育厅重点科研基金资助项目(07ZA092SZD0406)

详细信息

作者简介:
丁协平(1938- ),男,四川自贡人,教授(Tel:+86-28-84780952;E-mail:xieping_ding@hotmail.com).

中图分类号: O176.3；O177.92
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- 文章访问数: 2776
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出版历程
- 收稿日期: 2008-09-24
- 修回日期: 2009-01-21
- 刊出日期: 2009-03-15

Systems of Generalized Vector Quasi-Variational Inclusions and Systems of Generalized Vector Quasi-Optimization Problems in Locally FC-Uniform Spaces

DING Xie-ping

College of Mathematics and Software Science, Sichuan Normal University Chengdu, Sichuan 610066, P. R. China

摘要

摘要: 在没有凸性结构的局部FC-一致空间内，引入和研究了某些新的广义矢量拟变分包含问题组和广义矢量理想(真,帕雷多(Pareto),弱)拟优化问题组．应用KKM型定理和Himmelberg型不动点定理,首先对广义矢量拟变分包含问题组的解，证明了某些新的存在性定理．作为应用,对广义矢量理想(真,帕雷多,弱)拟优化问题组的解也得到了某些新的存在性结果．
- KKM型定理 /
- Himmelberg型不动点定理 /
- 广义矢量拟变分包含问题组 /
- 广义矢量拟优化问题组 /
- 局部FC-一致空间
Abstract: Some new systems of generalized vector quasivariational inclusion problems and system of generalized vector ideal(resp., proper, Pareto, weak) quasioptimization problems in locally FC-uniform spaces without convexity structure are introduced and studied. By using KKM type theorem and Himmelberg type fixed point theorem, some new existence theorems of solutions for the systems of generalized vector quasivariational inclusion problems were first proved. As applications, some new existence results of solutions for systems of generalized vector quasioptimization problems were obtained also.
- KKM type theorem /
- Himmelberg type fixed point theorem /
- generalized vector quasivariational inclusions /
- system of generalized vector optimization problems /
- locally FC-uniform space

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参考文献(28)

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局部FC-一致空间内的广义矢量拟变分包含组和广义矢量拟优化问题组

作者简介:
丁协平(1938- ),男,四川自贡人,教授(Tel:+86-28-84780952;E-mail:xieping_ding@hotmail.com).

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Systems of Generalized Vector Quasi-Variational Inclusions and Systems of Generalized Vector Quasi-Optimization Problems in Locally FC-Uniform Spaces

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局部FC-一致空间内的广义矢量拟变分包含组和广义矢量拟优化问题组

作者简介: 丁协平(1938- ),男,四川自贡人,教授(Tel:+86-28-84780952;E-mail:xieping_ding@hotmail.com).

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Systems of Generalized Vector Quasi-Variational Inclusions and Systems of Generalized Vector Quasi-Optimization Problems in Locally FC-Uniform Spaces

计量

出版历程

目录

作者简介:
丁协平(1938- ),男,四川自贡人,教授(Tel:+86-28-84780952;E-mail:xieping_ding@hotmail.com).