Jan 11, 2011 · In this article, two second-order constraint qualifications for the vector optimization problem are introduced, that come from first-order ...
Complete the second-order optimality conditions for vector optimization with a feasible neighborhood second-order sufficiency theorem.
In this paper, we derive primal and dual second-order necessary and sufficient optimality conditions for a vector optimization problem with equality and ...
They are used to establish two second-order necessary conditions for the vector optimization problem, with general nonlinear constraints, without any convexity ...
At the end, a very general second-order necessary conditions for efficiency with respect to cones is present and it is applied to smooth and nonsmooth data.
Oct 22, 2024 · 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 ...
In this paper, we study a vector optimization problem (VOP) with both inequality and equality constraints. We suppose that the functions involved are ...
This paper is concerned with necessary and sufficient optimality conditions of first and second-order for possibly infinite-dimensional nonsmooth vector ...
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In this paper we present a very general and unified theory of second‐order optimality conditions for general optimization problems subject to abstract ...
The aim of this note is to obtain second-order optimality conditions for the following vector problem under inclusion constraints. Throughout this paper, let [ ...