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NCUEIR > College of Science > math > Periodical Articles > Item 987654321/8916

Please use this identifier to cite or link to this item: http://ir.ncue.edu.tw/ir/handle/987654321/8916

Title:	Some Equivalent Formulations of the Generalized Ekeland’s Variational Principle and Their Applications
Authors:	Lai-Jiu Lin;Wei-Shih Du
Contributors:	數學系
Keywords:	w-Distance;Upper (lower) semicontinuous;Generalized Takahashi’s nonconvex minimization theorem;Generalized Caristi’s fixed point theorem;Generalized Ekeland’s variational principle;Weak sharp minima;Global error bound
Date:	2007-07
Issue Date:	2011-05-10T06:49:59Z
Publisher:	Elsevier Science
Abstract:	In this paper, we first give a generalized Takahashi’s existence theorem. From the existence theorem, we establish some equivalence relations between generalized Caristi’s fixed point theorems and generalized Ekeland’s variational principles. Some applications to the existence theorems of weak sharp minima and global error bounds for lower semicontinuous functions are also given.
Relation:	Nonlinear Analysis: Theory, Methods & Applications, 67(1):187-199
Appears in Collections:	[math] Periodical Articles

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