Title of article
Ekeland’s variational principle and its equivalent theorems in vector optimization
Author/Authors
Yousuke Araya، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
8
From page
9
To page
16
Abstract
We present a simple proof of vectorial Ekeland’s variational principle, vectorial Caristi’s
fixed point theorem and vectorial Takahashi’s nonconvex minimization theorem.
Equivalences between the three theorems are also given.
Keywords
Ekeland’s variational principleCaristi’s fixed point theoremTakahashi’s nonconvex minimizationtheoremVector-valued functionNonlinear scalarization
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937356
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