Higher-order necessary optimality conditions for extremum problems in topological vector spaces | Zendy

Leon Mikołajczyk | Zendy; Marcin Studniarski | Zendy

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Higher-order necessary optimality conditions for extremum problems in topological vector spaces

Author(s) -

Leon Mikołajczyk,

Marcin Studniarski

Publication year - 2000

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2000.010

Subject(s) - mathematics , extension (predicate logic) , order (exchange) , topology (electrical circuits) , connection (principal bundle) , topological vector space , topological space , pure mathematics , combinatorics , computer science , geometry , finance , economics , programming language

We present a higher-order extension of the well-known theorem of Ben-Tal and Zowe on second-order necessary optimality conditions in topological vector spaces. We also examine the connection between this extension and theresults of Furukawa and Yoshinaga which are stated in terms of higher-ordervariational sets and Neustadt derivatives.

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