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锥伪单调和锥严格拟凸映射向量平衡问题(英文)

Vector Equilibrium Problems on C-Pseudomonotone and C-Strictly Quasiconvex Mappings
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摘要 研究在锥伪单调、锥拟凸、锥严格拟凸和次连续条件下几类二元向量平衡问题 解的关系,利用KyFan不动点定理证明了解的存在性. The relationships of solutions among several vector equilibrium problems of bivariate mappings with C-pseudomonotone, C-quasiconvex, C-strictly quasiconvex and hemicon-tinuous are studied. Existence theorems of solutions for them are presented.
机构地区 集美大学基础部
出处 《运筹学学报》 CSCD 北大核心 2003年第4期1-11,共11页 Operations Research Transactions
基金 This research is supported by the National Natural Science Foundation of China under Grant No. 69972036.
关键词 伪单调性 严格拟凸映射 向量平衡 不动点定理 运筹学 OR, vector equilibrium problems, closed convex pointed cone, C-pseudomonotone, C-Quasiconvex, C-strictly quasiconvex, hemicontinuous
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参考文献6

  • 1Bianchi M., Schaible S. GeneralizedMonotone Bifunctions and Equilibrium Problems. Journal of Optimization Theory andApplications, 1996, 90:31-43.
  • 2Jean-Pierre Aubin. Optima and Equilibrium. Springer-Verlag/Beijing World PublishingCorporation, 1998.
  • 3Yu S. J., Yao J. C. On Vector Variational Inequalities. Journal of OptimizationTheory and Applications, 1996, 89: 749-769.
  • 4Ferro F. A minimax Theorem for Vector-valued Functions. Journal of OptimizationTheory and Applications, 1989, 60:19-31.
  • 5Hadjisavvas N., Schaible S. From Scalar to Vector Equilibrium Problems in theQuasimonotone Case. Journal of Optimization Theory and Applications, 1998, 96: 297-309.
  • 6Ky Fan. A Generalization of Tychonoff's Fixed Point Theorms. Math. Ann., 1961,142:305-310.

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