关键词: 弱有效解, 广义不变凸函数, 最优性条件

Abstract:

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 realvalued and vectorial functions. Moreover, necessity and sufficiency of optimality for vectorial problems were given.

Key words: weakly efficient solution, generalized invexity function, optimality conditions