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Some Variants of the Ekeland Variational Principle for a Set-Valued Map

✍ Scribed by T. X. D. Ha


Publisher
Springer
Year
2005
Tongue
English
Weight
129 KB
Volume
124
Category
Article
ISSN
0022-3239

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πŸ“œ SIMILAR VOLUMES


The Ekeland variational principle for se
✍ Truong Xuan Duc Ha πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 237 KB

In this paper we use the FrΓ©chet, Clarke, and Mordukhovich coderivatives to obtain variants of the Ekeland variational principle for a set-valued map F and establish optimality conditions for setvalued optimization problems. Our technique is based on scalarization with the help of a marginal functio

An Ekeland’s variational principle for s
✍ J. Zeng; S.J. Li πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 488 KB

In this paper, we obtain a general Ekeland's variational principle for set-valued mappings in complete metric space, which is different from those in [G.Y. Chen, X.X. Huang, Ekeland's Ξ΅-variational principle for set-valued mapping, Mathematical Methods of Operations

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✍ X.X. Huang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 93 KB

In this paper, we discuss the stability of Ekeland's variational principles for vector-valued and set-valued maps when the dominating cone is a closed pointed convex cone whose interior may be empty. We provide a new approach to the study of the stability of Ekeland's variational principles for vect