Scalarization of approximate solution for vector equilibrium problems
Qiusheng Qiu, Xinmin Yang · Journal of Industrial and Management Optimization · 2012
In this paper, some scalar characterizations of approximate weaklyefficient solutions and approximate Henig efficient solutions forvector equilibrium problems are derived without imposing anyconvexity assumption on objective functions and feasible set.Meanwhile, the linear scalar characterization of approximate weaklyefficient solutions is also established under the conditions ofgeneralized convexity. As an application of the results in thispaper, scalar characterizations of weakly efficient solution, Henigefficient solution and super efficient solution for vectorequilibrium problems are obtained.