Abstract
The present paper studies the following constrained vector optimization problem: minC f (x), g(x) ∈ −K, h(x) = 0, where f : ℝn → ℝm g : ℝn → ℝp are C 1,1 functions, h : ℝn → ℝq is C 2 function, and C ⊂ ℝm and K ⊂ ℝp are closed convex cones with nonempty interiors. Two type of solutions are important for the consideration, namely w-minimizers (weakly efficient points) and i-minimizers (isolated minimizers). In terms of the second-order Dini directional derivative second-order necessary conditions a point x 0 to be a w-minimizer and second-order sufficient conditions x 0 to be an i-minimizes of order two are formulated and proved. The effectiveness of the obtained conditions is shown on examples.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
