Higher-Order Generalized Invexity in Control Problems | Zendy

Saroj Kumar Padhan | Zendy; C. Nahak | Zendy

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Higher-Order Generalized Invexity in Control Problems

Author(s) -

Saroj Kumar Padhan,

C. Nahak

Publication year - 2011

Publication title -

journal of control science and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.208

H-Index - 18

eISSN - 1687-5257

pISSN - 1687-5249

DOI - 10.1155/2011/127208

Subject(s) - duality (order theory) , converse , duality gap , weak duality , wolfe duality , order (exchange) , mathematics , strong duality , type (biology) , pure mathematics , mathematical optimization , optimization problem , economics , geometry , finance , ecology , biology

We introduce a higher-order duality (Mangasarian type and Mond-Weir type) for the control problem. Under the higher-order generalized invexity assumptions on the functions that compose the primal problems, higher-order duality results (weak duality, strong duality, and converse duality) are derived for these pair of problems. Also, we establish few examples in support of our investigation

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