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一般化凸乘积空间上Fan-Browder型不动点定理和平衡点定理(英文) 被引量:4

Fan-Browder type fixed point and equilibrium point theoremson generalized convex product spaces
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摘要 我们得到了一般化凸乘积空间上 Fan- Browder型不动点定理 ,然后利用上述结果给出 (部分 ) Fan-Browder type fixed point theorems on G-convex product spaces are obtained and new existence theorems of (partially) maximal element and equilibrium point are given by using the above result.
作者 朴勇杰
出处 《纯粹数学与应用数学》 CSCD 2004年第3期197-203,共7页 Pure and Applied Mathematics
基金 国家自然科学基金项目 ( 10 3 610 0 5 ) 延边大学自然科学基金项目
关键词 一般化凸空间 极大元 部分极大元 平衡点 Generalized convex space,Maximal element,Partially maximal element,Equilibrium point
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参考文献7

  • 1Arrow K. J, G. Debreu. Existence of an equilibrium for a competitive economy[J]. EconomHtrica, 1954,22:265-290.
  • 2Gale D, Mas-Colell A. On the role of complete, transitive preference in equilibrium theorey[J]. Equilibrium and Disequilibrium in Economic Theory (G. Schwiauer, ed), Reidel, Dordrecht, 1978, 7-14.
  • 3Metha G, Tan K. K, Yuan X. Z. Fixed points, maximal elements and equilibria of generalized games[J]. Nonlinear Anal, 1997, 28:689-699.
  • 4Park Sehie. Elements of the KKM theory for generalized convex spaces[J].Korean J.Comput & Appl.Math,2000,7(1):1-28.
  • 5Piao Yong jie. Some basic properties on generalized convex spaces[J]. Yanbian Univ(Natural Sci). 2002,28(3):157-159(in chinese).
  • 6Park Sehie. Five episodes related to generalized convex spaces[J]. Nonlinear Funct. Anal. and Appl, 1997,2:49-61.
  • 7Tarafdar E. Fixed point theorems in H-spaces and equilibium points of abstract economies[J]. J. Austral. Math. Soc, 1992,53:252-260.

同被引文献19

  • 1丁协平.乘积拓扑空间内的重合点组定理及应用(Ⅰ)[J].应用数学和力学,2005,26(12):1401-1408. 被引量:27
  • 2杨明歌,邓磊.拓扑空间中Fan-Browder映射的连续选择定理及其应用[J].应用数学和力学,2006,27(4):439-446. 被引量:3
  • 3Arrow K J,Debreu D.Existence of an equilibrium for a competitive economy[J].Econometrica,1954,22:265-290.
  • 4Gale D,MasColell A.On the Role of Complete,Transitive Preference in Equilibrium Theory[M]//Schwdiauer G.Equilibrium and Disequilibrium in Economic Theory.Dordrecht:Reidel,1978.
  • 5Metha G,Tan K K,Yuan X Z.Fixed points,maximal elements and equilibria of generalized games[J].Nonlinear Anal.,1997,28:689-699.
  • 6Berge C.Sur une convexité régulière et ses applications à la théorie des jeux[J].Bull.Soc.Math.France,1954,82:301-319.
  • 7Ding X P.Equilibria of noncompact generalized games with Ll-majorized preference correspondences[J].Appl.Math.Lett.,1998,11:115-119.
  • 8Ding X P,Tan K K.On equilibria of non-compact generalized games[J].J.Math.Anal.Appl.,1993,177:226-238.
  • 9Ding X P,Yuan G X Z.The study of existence of equilibria for generalized games without lower semicontinuity in locally topological vector spaces[J].J.Math.Anal.Appl.,1998,227:420-438.
  • 10Lin L J,Park S H.On some generalized quasi-equilibrium problems[J].J.Math.Anal.Appl.,1998,224:167-181.

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