Multiobjective variational programming under generalized (V, p)-B-type I functions

• Autorzy: Khazafi K. , Rueda N. , Enflo P.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we generalize the (V, p)-invexity denned for nonsmooth multiobjective fractional programming by Mishra, Rueda and Giorgi (2003) to variational programming problems by defining new classes of vector- valued functions called (V, p)-B-type I and generalized (V, p)-B-type I. Then we use these new classes to derive various sufficient optimality conditions and mixed type duality results.

Słowa kluczowe

EN

multiobjective variational programming; efficient solution; proper efficient solution; generalized (V, p)-B-type I functions; sufficient conditions; mixed type duality rusults

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2009
• Tom: Vol. 38, no 2
• Strony: 555--572
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Khazafi K.

autor

Rueda N.

autor

Enflo P.

• State University, Kent, Ohio, USA,

Bibliografia

• AGHEZZAF, B. and KHAZAFI, K. (2004) Sufficient Optimally Conditions and Duality in Multiobjective Variational Programming Problems with Generalized B-invexity. Control and Cybernetics 33, 1-14.
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• BECTOR, C.R. and HUSAIN, I. (1992) Duality for multiobjective variational problems. J. Math. Anal. Appl. 166, 214-229.
• BHATIA, D. and MEHRA, A. (1999) Optimality conditions and duality for multiobjective variational problems with generalized B-invexity. J. Math. Anal. Appl. 234, 341-360.
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• HANSON, M.A. (1981) On Sufficiency of Kuhn Tucker Conditions. J. Math. Anal. Appl. 80, 545-550.
• MISHRA, S.K., RUEDA, N.G. and GIORGI, G. (2003) Multiobjective programming under generalized type I univexity. An. Univ. Bucureşti Mat. 52, 207-224.
• ZHOU, H. and WANG, Y. (2003) Optimality and Mixed Duality for Nonsmooth Multi-objective Fractional Programming. PUMA 14 (3), 263-274.