中国综合性科技类核心期刊(北大核心)

中国科学引文数据库来源期刊(CSCD)

美国《化学文摘》(CA)收录

美国《数学评论》(MR)收录

俄罗斯《文摘杂志》收录

Message Board

Respected readers, authors and reviewers, you can add comments to this page on any questions about the contribution, review, editing and publication of this journal. We will give you an answer as soon as possible. Thank you for your support!

Name
E-mail
Phone
Title
Content
Verification Code
Issue 5
Nov.  2011
Turn off MathJax
Article Contents
ZHANG Yu, CHEN Tao, XU Yan-dong. Minimax inequalities for vector-valued mappings[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 42-48.
Citation: ZHANG Yu, CHEN Tao, XU Yan-dong. Minimax inequalities for vector-valued mappings[J]. Journal of East China Normal University (Natural Sciences), 2011, (5): 42-48.

Minimax inequalities for vector-valued mappings

  • Received Date: 2010-09-01
  • Rev Recd Date: 2010-12-01
  • Publish Date: 2011-09-25
  • By using a kind of nonlinear scalarization functions and nonconvex separation theorems, under weaker assumptions, the minimax theorem for vector-valued mappings was established. An example was given to illustrate that the result improves the corresponding ones in the literatures.
  • loading
  • [1]
    {1}HA C W. Minimax and fixed point theorems[J]. Mathematische Annalen, 1980, 248: 73-77.
    {2}FAN K. Minimax theorems[J]. Proceedings of the National Academy of Sciences of the USA, 1953, 39: 42-47.
    {3}SION M. On general minimax theorems[J]. Pacific Journal of Mathematics, 1958, 8: 171-176.
    {4}NIEUWENHUIS J W. Some minimax theorems in vector-valued functions[J]. Journal of Optimization Theory and Application, 1983, 40: 463-475.
    {5}FERRO F. A minimax theorem for vector-valued functions[J]. Journal of Optimization Theory and Applications, 1989, 60: 19-31.
    {6}FERRO F. A Minimax Theorem for Vector-Valued Functions, Part 2[J]. Journal of Optimization Theory and Applications, 1991, 68: 35-48.
    {7}LI Z F, WANG S Y. A type of minimax inequality for vector for vector-valued mappings[J]. Journal of Mathematical Analysis and Applications, 1998, 227: 68-80.
    {8}LI S J, CHEN G Y, YANG X Q. Generalized minimax inequalities for set-valued mappings[J]. Journal of \linebreak Mathematical Analysis and Applications, 2003, 281: 707-723.
    {9}GONG X H. The strong minimax theorem and strong saddle points of vector-valued functions[J]. Nonlinear Analysis, 2008, 68: 2228-2241.
    {10}KIMURA K, TANAKA T. Existence theorem of cone saddle-points applying a nonlinear scalarization[J]. Taiwanese Journal of Mathematics, 2006, 10: 563-571.
    {11}AUBIN J P, EKELAND I. Applied Nonlinear Analysis[M]. John Wiley and Sons, New York, 1984.
    {12}JAHN J. Vector Optimization. Theory, Application, and Extensions[M]. Spring-Verlag, Berlin, 2004.
    {13}TANAKA T. Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions[J]. Journal of Optimization Theory and Applications, 1994, 81: 355-377.
    {14}GERSTEWITZ C. Nichtkonvexe trennungassatzc und deren anwendung in der theorie der vektoroptimierung[J]. Seminarberichte der Secktion Mathematik der Humboldt-Universitat zu Berlin, 1986, 80: 19-31.
    {15}CERTH C, WEIDNER P. Nonconvex separation theorems and some applications in vector optimization[J]. Journal of Optimization Theory and Applications, 1990, 67: 297-320.
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Article views (2348) PDF downloads(216) Cited by()
    Proportional views

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return