Properties of scalarization function for vector map and existence of solution in vector optimization
Jicheng Bian · Journal of Lanzhou University of Technology · 2012
A class of scalarization function for vector map was defined in topological vector space.Some corresponding properties of scalarization function and vector mapping such as lower(upper) semicontinuity,convexity,and quasi-convexity were obtained.Moreover,the sufficient condition for existence of weak efficient solution in vector optimization was obtained by using the properties of scalarization function.