期刊文献+

一般化凸空间上的相交定理和一个不等式系

Intersection Theorems and a System of Inequalities on Generalized Convex Spaces
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摘要 根据文[1]中得到的Ky Fan型重叠定理给出一般化凸空间上的相交定理.作为它的应用讨论一个不等式系的解的存在性问题.我们的结论改进和一般化了相应文献中的结果. We use the Ky Fan type coincidence theorem obtained in paper[1] to give intersection theorems on generalized convex spaces. As its application, discuss the existence problem of solution for a system of inequalities. Our results improve and generalize the corresponding results in relative references.
机构地区 延边大学数学系
出处 《大学数学》 北大核心 2006年第3期72-75,共4页 College Mathematics
基金 国家自然科学基金(10361005) 教育部回国留学科研基金 延边大学科研项目(2004年8号)
关键词 一般化凸空间 Γ-凸的 相交 generalized convex spaces, Γ-convex subset, intersection
  • 相关文献

参考文献8

  • 1朴勇杰.一般化凸空间上的Ky Fan型重叠定理和不动点定理[J].哈尔滨师范大学自然科学学报,2003,19(1):20-23. 被引量:2
  • 2Sehie Park.Ninety years of the Brouwer fixed point theorem[J].Vietnam J.Math.1997,27(3):187-222.
  • 3Lassonde M.On the use of KKM multimaps in fixed point theory and related topics[J].J.Math.Anal.Appl.,1983,97:151-201.
  • 4Hovarth C D.Contractibility and generalized convexity[J].J.Math.Anal.Appl.,1991,156:341-357.
  • 5Tan K K and Zhang X L.Fixed point theorems on G -convex spaces and applications[J].Nonlinear funct.Anal.Appl.,1996,1:1-19.
  • 6Bardaro C and Ceppitelli R.Fixed point theorems and vector valued minimax theorems[J].J.Math.Anal.Appl.,1990,146:363-373.
  • 7Ky Fan.A minimax inequality and applications[J].Inequalities Ⅲ (O.Shisha,ed.) Academic Press,New York,1972,103-113.
  • 8Granas A and Liu F C.Coincidences for set-valued maps and minimax inequalities[J].J.Math.Pures et appl.,1986,65:119-148.

二级参考文献5

  • 1[1]Park S. H. New subclasses of generalized convex spaces [J].Fixed Point theory and Applications. (Y. J. Cho, ed. ), Nova Sci. Publ. , New-York, 2000,91~98
  • 2[2]Lassonde M. On the use of KKM multimaps in fixed point theory and related topies[J]. J. Math. Anal. Appl.. 1983,97:151~201
  • 3[3]Horvath C. D. Contractiblity and generalized convexity [J].J. Math. Anal. Appl. , 1991,156:341~357
  • 4[4]Park S. H and Kim H. J. Generalizations of the KKM type theorems on generalized convex spaces [J]. Indian J. Pure Appl. Math., 1998,29:121~132
  • 5[5]Piao Yongyie, Cui Hailan. Some Version of KKM Principle on generalized convex spaces[J]. Yanbian Univ. (Natural Sci). 2002,4:235~239

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