Optimality and duality for nonsmooth multiobjective optimization problems with generalized V-r-invexity

• Autorzy: Mishra S. K. , Singh V. , Wang S. Y. , Lai K. K.
• Języki publikacji: EN

Abstrakty

EN

In this paper, a new concept of invexity for locally Lipschitz vector-valued functions is introduced, called V-r-type I functions. The generalized Karush-Kuhn-Tucker sufficient optimality conditions are proved and duality theorems are established for a non-smooth multiobjective optimization problems involving K-r-type I functions with respect to the same function η.

Słowa kluczowe

EN

locally Lipschitz functions; V-r-type I functions; constrained optimization; nonsmooth optimization; optimality; duality

PL

lokalne funkcje Lipschitza; nie-gładka optymalizacja; optymalność; dwoistość

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2010
• Tom: Vol. 16, nr 1
• Strony: 49--58
• Opis fizyczny: Bibliogr.11 poz.

Twórcy

autor

Mishra S. K.

autor

Singh V.

autor

Wang S. Y.

autor

Lai K. K.

• Department of Mathematics, Banaras Hindu University, Varanasi 221005, India,

Bibliografia

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