TD Chuong, DS Kim - Journal of Optimization Theory and Applications, 2014 - Springer
We apply some advanced tools of variational analysis and generalized differentiation to establish necessary conditions for (weakly) efficient solutions of a nonsmooth semi-infinite …
In this paper we present a survey of generalizations of the celebrated Farkas's lemma, starting from systems of linear inequalities to a broad variety of non-linear systems. We focus …
DH Fang, C Li, KF Ng - SIAM Journal on Optimization, 2010 - SIAM
For an inequality system defined by a possibly infinite family of proper functions (not necessarily lower semicontinuous), we introduce some new notions of constraint …
TD Chuong, JC Yao - Journal of Optimization Theory and Applications, 2014 - Springer
This paper deals with a nonsmooth semi-infinite multiobjective/vector optimization problem (SIMOP, for short). We first establish necessary and sufficient conditions for (local) strongly …
GY Li, V Jeyakumar, GM Lee - Nonlinear Analysis: Theory, Methods & …, 2011 - Elsevier
In this paper we present a robust conjugate duality theory for convex programming problems in the face of data uncertainty within the framework of robust optimization, extending the …
TQ Son, N Van Tuyen, CF Wen - Acta Mathematica Vietnamica, 2020 - Springer
In this paper, we present some new necessary and sufficient optimality conditions in terms of Clarke subdifferentials for approximate Pareto solutions of a nonsmooth vector optimization …
The paper concerns the study of new classes of nonlinear and nonconvex optimization problems of the so-called infinite programming that are generally defined on infinite …
S Dempe, N Dinh, J Dutta - … Differentiation in Optimization and Control: In …, 2010 - Springer
The problem to find a best solution within the set of optimal solutions of a convex optimization problem is modeled as a bilevel programming problem. It is shown that …
This paper deals with particular families of DC optimization problems involving suprema of convex functions. We show that the specific structure of this type of function allows us to …