Vectorial Form of Ekeland-Type Variational Principle in Locally Convex Spaces and Its Applications

被引：0
作者：
S Eshghinezhad
M Fakhar
机构：
[1] University of Isfahan,Department of Mathematics, Faculty of Sciences
来源：
Fixed Point Theory and Applications | / 2010卷
关键词：
Equilibrium Problem; Convex Space; Vector Variational Inequality; Vector Equilibrium Problem; Nonconvex Setting;
D O I：
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摘要：
By using a Dane[inline-graphic not available: see fulltext]' drop theorem in locally convex spaces we obtain a vectorial form of Ekeland-type variational principle in locally convex spaces. From this theorem, we derive some versions of vectorial Caristi-Kirk's fixed-point theorem, Takahashi's nonconvex minimization theorem, and Oettli-Théra's theorem. Furthermore, we show that these results are equivalent to each other. Also, the existence of solution of vector equilibrium problem is given.
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