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The vector-valued variational principle in Banach spaces ordered by cones with nonempty interior
Subtitle:Raport Badawczy = Research Report ; RB/50/2006
Creator:Bednarczuk, Ewa M : Autor ; Przybyła, Maciej : Autor
Publisher:Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
Place of publishing: Date issued/created: Description:9 pages ; 21 cm ; Bibliography p. 8-9
Type of object: Subject and Keywords:Sharp solutions ; Vector-valued variational principle ; Bishop-phelps cone
Abstract:We prove a new version of the vector-valued Ekeland variational principle for cones with nonempty interiors. The constructed solution remains efficient for function f perturbed in different directions. Moreover, it is proved that the obtained solution is a sharp efficient solution of order 1 for all perturbed functions.
Relation:Raport Badawczy = Research Report
Resource type: Detailed Resource Type: Source: Language: Language of abstract: Rights:Creative Commons Attribution BY 4.0 license
Terms of use:Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Digitizing institution:Systems Research Institute of the Polish Academy of Sciences
Original in:Library of Systems Research Institute PAS
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