Nonsmooth Vector Variational-Like Inequalities and Vector Optimization Problems
Zhao Lian · Hu'nan Shifan Daxue xuebao. Ziran kexue ban · 2014
Some relationships among solutions of nonsmooth Minty( weak) vector variational-like inequalities,solutions of nonsmooth Stampacchia( weak) vector variational-like inequalities and solutions of perturbed nonsmooth Stampacchia( weak) vector variational-like inequalities are discussed involving Dini upper directional derivative under nonsmooth invexity. Moreover,some equivalent conditions between solutions to these three kinds of vector variational-like inequalities problems and( weakly) efficient solution to the vector optimization problems are obtained.