The Lagrange Multiplier Rule for Multifunctions in Banach Spaces
Xi Yin Zheng, Kung Fu Ng · SIAM Journal on Optimization · 2006
We study general constrained multiobjective optimization problems with objectives being closed multifunctions in Banach spaces. In terms of the coderivatives and normal cones, we provide generalized Lagrange multiplier rules as necessary optimality conditions of the above problems. In an Asplund space setting, sharper results are presented.