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具有集值约束的弱Nash平衡问题解的存在性

Existence of Weak Nash Balance Problem with Set-valued Constraints
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摘要 利用不动点定理证明了一类具有集值约束的弱Nash平衡问题解的存在性,推广了以往文献的结果。 The fixed point theorem was used to prove the existence of a type of weak Nash balance problem, which extended the results of past literature.
作者 帅维成
机构地区 四川民族学院数学系
出处 《重庆理工大学学报（自然科学）》 CAS 2014年第9期139-142,共4页 Journal of Chongqing University of Technology：Natural Science
基金 国家自然科学基金天元基金资助项目(11226231)
关键词 非线性标量化函数 自然拟凸 集值映射 nonlinear quantitative function natural quasi-convex set-valued mapping
分类号 O224 [理学—运筹学与控制论]
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参考文献10

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二级参考文献9

  • 1Li SJ, Chen GY, Teo KL and Yang XQ. Generalized Minimax Inequalities for Set-Valued Mappings. Journal of Mathematical Analysis and Applications, 2003, 281: 707-723.
  • 2Luc DT. Theory of Vector Optimization. Springer, Berlin, 1989.
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  • 6Fu JY. Symmetric Vector Quasi-Equilibrium Problems. Journal of Mathematical Analysis and Applications, 2003, 285: 708-713.
  • 7Farajzadeh AP. On the Symmetric Vector Quasi-Equilibrium Problems. Journal of Mathematical Analysis and Applications, 2005, in press.
  • 8Giannessi F. Vector Variational Inequalities and Vector Equilibria: Mathematical Theories. Kluwer, Dordrecht, 2000.
  • 9Li SJ, Teo KL and Yang XQ. Generalized Vector Quasi-Equilibrium Problems. Mathematical Methods of Operations Research, 2005, 61: 385-397.

共引文献4

重庆理工大学学报（自然科学）
2014年 第9期

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