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							                             國立中山大學應用數學系
      (Dept. of Applied Math., National Sun Yat-sen University)
                                        Talk
Speaker：杜威仕 教授 (Wei-Shih Du)
         高雄師範大學數學系
Title：Fuzzy Versions of Stationary Point Theorems for Generated
            Dynamical Systems and Their Applications
Time：2008/11/13（Thursday,星期四）15：10 ~ 16：00
Place：理學院 4 樓理 4009-1 室(教室設備：白板、固定單槍、固定電腦)
              (Room 4009-1, Dept. of Applied Math, NSYSU)
Tea Time：14:30~15:00 於理 4010 室                      (系辦公室)


                                       Abstract
The famous Ekeland's variational principle (in short EVP) is a forceful tool in various
fields of applied mathematical analysis and nonlinear analysis. It is well-known that
the primitive EVP is equivalent to the Caristi's fixed point theorem, to the drop
theorem, to the petal theorem, and to the Takahashi's nonconvex minimization
theorem. In this talk, by applying Lin-Du's maximal element principle, we present
some fuzzy versions of the generalization of Danc\v{s}, Heged\"{u}s and
Medvegyev's principle in uniform spaces without the use of Zorn's Lemma or Cantor
intersection theorem. We establish the existence theorems related with generalized
EVP, generalized Takahashi's nonconvex minimization theorem and Caristi's type
fixed point theorem for multivalued maps.


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陳又瑄 助理 (You-Shiuan CHEN)
國立中山大學應用數學系
Tel：(07) 5252000 ext. 3803
Fax：(07) 5253809
E-mail：chenys@math.nsysu.edu.tw
應用數學系網址：http://www.math.nsysu.edu.tw