Some Variants of the Ekeland Variational Principle for a Set-Valued Map
β 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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π SIMILAR VOLUMES
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
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
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