J4 ›› 2012, Vol. 50 ›› Issue (01): 6-10.
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WANG Cailing, LU Xiu shuang
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We introduced new notion of generalized invex functions on Banach space and proved some result. Using these functions, we obtained the conditions of optimality with constraint conditions when the objective function is realvalued and vectorial functions. Moreover, necessity and sufficiency of optimality for vectorial problems were given.
Key words: weakly efficient solution, generalized invexity function, optimality conditions
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WANG Cailing, LU Xiu shuang. Optimality Condition of a Class of Generalized Invex Functions[J].J4, 2012, 50(01): 6-10.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2012/V50/I01/6
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