A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is
Second- and First-Order Optimality Conditions in Vector Optimization
International Journal of Information Technology and Decision Making
In this paper we obtain second- and first-order optimality conditions of Kuhn-Tucker type and Fritz John one for weak efficiency in the vector problem with inequality constraints. In the necessary conditions we suppose that the objective function and the active constraints are continuously differentiable. We introduce notions of KTSP-invex problem and second-order KTSP-invex one. We obtain that the vector problem is (second-order) KTSP-invex if and only if for every triple (x̅,λ̅,μ̅) withdoi:10.1142/s0219622014500540 fatcat:4ytnno2y3jaczap2snk4owoxki