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G凸空间上的向量极小极大定理 被引量:1

A MINIMAX THEOREM FOR VECTOR-VALUEDMAPPINGS ON G-CONVEX SPACES
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摘要 在G凸空间上引进向量映射的锥凸与锥真拟凸概念,并得到一个向量极小极大定理。 The concepts of cone-convexity and cone-proper quasiconvexity for vector-valued mappings on G-Convex space are introduced.A minimax theorem for vector-valned mappings on G-Convex spaces is obtained.
出处 《南昌大学学报(理科版)》 CAS 北大核心 2004年第3期233-235,255,共4页 Journal of Nanchang University(Natural Science)
关键词 G凸空间 锥凸性 向量映射 极小极大定理 G-convex space cone-convexity vector-valued mapping minimax theorem
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参考文献7

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同被引文献7

  • 1Fan K. Mimimax Theorem[ J ]. Proc Nat Acad Sci, 1953, 39 : 42 - 47.
  • 2Li Z F, Wang S Y. A Type of Minimax Inequality for Vector Valued Mappings [ J ]. J Math Anal Appl, 1998,227 : 68 - 80.
  • 3Ferro F. A Minimax Theorem for Vector - Valued Functions [ J ]. J Optimi Theory Appl, 1989,60:19 - 31.
  • 4Tanaka T. Generalized Quasiconvexities, Cone Saddle Points, and Minimax Theorems for Vector - valued Functions[ J]. J. Optimi Theory Appl, 1994,81:355 - 377.
  • 5Park S, Kim H. Admissible Classes of Muhifunctions on Generalized Convex Spaces[J]. Proc Coil Natur Sci Snu, 1993,18:1-21.
  • 6Gerstewitz C. Nichtkonvexe Trennungssatze Und Deren Anwendung in Der theorie Der Vektoroptimierung [ J ]. Seminarberichte Seckt. math, 1986,80 : 19 - 31.
  • 7Lin L J, Park S. On Some Generalized Quasi - Equilibrium Problems [ J ]. Journal of Mathematical Analysis and Applications, 1998,224 : 167 - 181.

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