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题名: On maximal Element Theorems, Variants of Ekeland’s Variational Principle and Their Applications
作者: L. J. Lin;W.S.Du
贡献者: 數學系
关键词: -function;Fitting function;Maximal element;Generalized Ekeland’s variational principle;Generalized Caristi’s (common) fixed point
theorem;Nonconvex maximal element theorems for maps;Nonconvex minimax theorem;Nonconvex vectorial equilibrium theorem;Convergence
theorem
日期: 2008-03
上传时间: 2011-05-10T06:50:34Z
出版者: Elsevier Science
摘要: In this paper, we establish several different versions of generalized Ekeland’s variational principle and maximal element theorem
for -functions in . complete metric spaces. The equivalence relations between maximal element theorems, generalized Ekeland’s
variational principle, generalized Caristi’s (common) fixed point theorems and nonconvex maximal element theorems for maps are
also proved. Moreover, we obtain some applications to a nonconvex minimax theorem, nonconvex vectorial equilibrium theorems
and convergence theorems in complete metric spaces.
關聯: Nonlinear Analysis: Theory, Methods & Applications, 68(5):1246-1262
显示于类别:[數學系] 期刊論文

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