留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

零调复合映象的重合定理和最佳逼近定理

丁协平

丁协平. 零调复合映象的重合定理和最佳逼近定理[J]. 应用数学和力学, 1999, 20(5): 461-469.
引用本文: 丁协平. 零调复合映象的重合定理和最佳逼近定理[J]. 应用数学和力学, 1999, 20(5): 461-469.
Ding Xieping. Best Approximation and Coincidence Theorems for Composites of Acyclic Mappings[J]. Applied Mathematics and Mechanics, 1999, 20(5): 461-469.
Citation: Ding Xieping. Best Approximation and Coincidence Theorems for Composites of Acyclic Mappings[J]. Applied Mathematics and Mechanics, 1999, 20(5): 461-469.

零调复合映象的重合定理和最佳逼近定理

基金项目: 国家自然科学基金
详细信息
    作者简介:

    丁协平(1938~ ),男,教授,已发表论文200余篇,获省部级奖6项.

  • 中图分类号: O177.91;O174.41

Best Approximation and Coincidence Theorems for Composites of Acyclic Mappings

  • 摘要: 对定义在可缩空间上的零调值复合映象证明了某些新的重合点定理.作为应用某些最佳逼近定理和集值映象的重合点定理被给出.这些定理改进和推广了最近文献中许多已知结果.
  • [1] Ben-El-Mechaiekh H.The coincidence problem for compositions of set-valued maps[J].Bull Austral Maht Soc,1990,41(3):421~434.
    [2] Lassonde M.Fixed points for Kakutani factorizable multifunctions[J].J Math Anal Appl,1990,152(1):46~60.
    [3] Lassonde M.Reduction du cas multivoque au cas univoque dans les problemes de coincidence[A].In:Thera,Baillon Eds.Fixed Point Theory and Applications[C].Longman Sci Tech Essex,1991,293~302.
    [4] Park S,Singh S P,Watson B.Some fixed point theorems for composites of acyclic maps[J].Proc Amer Math Soc,1994,121(4):1151~1158.
    [5] Ding Xieping.A coincidence theorem involving contractible spaces[J].Appl Math Lett,1997,10(3):53~56.
    [6] Ding Xieping.Coincidence theorems involving composites of acyclic mappings in contractible spaces[J].Appl Math Lett,1998,11(2):85~89.
    [7] Yuan X Z.Knaster-Kuratowski-Mazurkiewicz theorem,Ky Fan minimax inequalities and fixed point theorems[J].Nonlinear World,1995,2:131~169.
    [8] Fan K.Extension of two fixed point theorems of F E Browder[J].Math Z,1969,112(1):234~240.
    [9] Browder F E.On a sharpened form of the Schauder fixed-point theorems[J].Proc Nat Acad Sci
    [10] U S A,1977,74:4749~4751.
    [11] Granas A,Liu F C.Coincidences for set-valued maps and minimax inequalities[J].J Math Pures Appl,1986,65(9):119~148.
    [12] Komiya H.Coincidence theorem and saddle point theorem[J].Proc Amer Math Soc,1986,96(2):599~602.
    [13] Metha G,Sessa S.Coincidence theorems and maximal elements in topological vector spaces[J].Math Japan,1992,47(3):839~845.
    [14] Tarafdar E,Yuan X Z.A remark on coincidence theorems[J].Proc Amer Math Soc,1994,122(3):957~959.
    [15] Wu X.A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications[J].J Math Anal Appl,1996,197(1):61~74.
    [16] Horvath C.Some results on multivalued mappings and inequalities without convexity[A].In:Lin,Simons Eds.Nonlinear and Convex Analysis[C].New York:Marcel Dekker,1987,99~106.
    [17] Ding Xieping,Tan K K.Matching theorems,fixed point theorems and minimax inequalities without convexity[J].J Austral Math Soc SerA,1990,49(1):111~128.
    [18] Gorniewicz L,Granas A.Some general theorems in coincidence theory Ⅰ[J].J Math Pures Appl,1981,60(9):361~378.
    [19] Ding Xieping,Tarafdar E.Some coincidence theorems and applications[J].Bull Austral Math Soc,1995,50(1):73~80.
    [20] Browder F E.Coincidence theorems,minimax theorems,and variational inequalities[J].Contemp Math,1984,26:67~80.
    [21] Ding Xieping,Tan K K.A set-valued generalization of Fan's best approximation theorem[J].Can J Math,1992,44(2):784~796.
    [22] Ding Xieping,Tarafdar E.Some further generalizations of Ky Fan's best approximation theorem[J].J Approx Theory,1995,81(3):406~420.
    [23] Ha C W.Extension of two fixed point theorems of Ky Fan[J].Math Z,1985,190(1):13~16.
    [24] Lin T C.Some variants of a generalization of a theorem of Ky Fan[J].Bull Polish Acad Sci Math,1989,37(2):629~635.
    [25] Reich S.Fixed points in locally convex spaces[J].Math Z,1972,125(1):17~31.
    [26] Aubin J P,Ekeland I.Applied Nonlinear Analysis[M].New York:John Wiley & Sons,1984.
    [27] Aubin J P.Mathematical Methods of Game and Economic Theory[M].Revised Edition.Amsterdam:North-Holland,1982.
    [28] Rudin W.Funational Analysis[M].New York:McGraw-Hill Inc,1973.
  • 加载中
计量
  • 文章访问数:  2058
  • HTML全文浏览量:  52
  • PDF下载量:  593
  • 被引次数: 0
出版历程
  • 收稿日期:  1998-03-27
  • 修回日期:  1999-02-08
  • 刊出日期:  1999-05-15

目录

    /

    返回文章
    返回