Optimality Conditions of Strongly Efficient Solutions for Vector-valued Optimization Problem of Arcwise Connected Cone-convexity
Song Xiao-shuai · Journal of Nanchang University · 2010
When both the objective function and constrained function are arcwise connected cone-convex functions,with directional derivative and alternative theorem,the necessary conditions are given for constrained vector-valued optimization problem and its strongly efficient solutions are obtained.By using scalarization theorem for the strongly efficient point,the Kuhn-Tucker sufficient optimality condition is obtained for vector-valued optimization problem to get its strongly efficient solutions.