Du Wei-Shih

Publications (3)0 Total impact

• Article: Critical Point Theorems for Nonlinear Dynamical Systems and Their Applications

  Du Wei-Shih
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  ABSTRACT: We present some new critical point theorems for nonlinear dynamical systems which are generalizations of Dancš-Hegedüs-Medvegyev's principle in uniform spaces and metric spaces by applying an abstract maximal element principle established by Lin and Du. We establish some generalizations of Ekeland's variational principle, Caristi's common fixed point theorem for multivalued maps, Takahashi's nonconvex minimization theorem, and common fuzzy fixed point theorem for τ-functions. Some applications to the existence theorems of nonconvex versions of variational inclusion and disclusion problems in metric spaces are also given.
  Fixed Point Theory and Applications. 01/2010;
• Source

  Available from: hindawi.com

  Article: Coupled Fixed Point Theorems for Nonlinear Contractions Satisfied Mizoguchi-Takahashi's Condition in Quasiordered Metric Spaces

  Du Wei-Shih
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  ABSTRACT: The main aim of this paper is to study and establish some new coupled fixed point theorems for nonlinear contractive maps that satisfied Mizoguchi-Takahashi's condition in the setting of quasiordered metric spaces or usual metric spaces.
  Fixed Point Theory and Applications. 01/2010;
• Source

  Available from: hindawi.com

  Article: Nonlinear Contractive Conditions for Coupled Cone Fixed Point Theorems

  Du Wei-Shih
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  ABSTRACT: We establish some new coupled fixed point theorems for various types of nonlinear contractive maps in the setting of quasiordered cone metric spaces which not only obtain several coupled fixed point theorems announced by many authors but also generalize them under weaker assumptions.
  Fixed Point Theory and Applications. 01/2010;