Characterizing robust solution sets of convex programs under data uncertainty

V Jeyakumar, GM Lee, G Li - Journal of Optimization Theory and …, 2015 - Springer
This paper deals with convex optimization problems in the face of data uncertainty within the
framework of robust optimization. It provides various properties and characterizations of the …

ε-Optimality and ε-Lagrangian Duality for a Nonconvex Programming Problem with an Infinite Number of Constraints

TQ Son, JJ Strodiot, VH Nguyen - Journal of optimization theory and …, 2009 - Springer
In this paper, ε-optimality conditions are given for a nonconvex programming problem which
has an infinite number of constraints. The objective function and the constraint functions are …

Characterizing the solution set for nonconvex semi-infinite programs involving tangential subdifferentials

XJ Long, J Liu, NJ Huang - Numerical Functional Analysis and …, 2021 - Taylor & Francis
The purpose of this paper is to study the characterization of the solution set for nonconvex
semi-infinite programming problems related to tangential subdifferentials. We give a …

ε-Mixed type duality for nonconvex multiobjective programs with an infinite number of constraints

TQ Son, DS Kim - Journal of Global Optimization, 2013 - Springer
Using a scalarization method, approximate optimality conditions of a multiobjective
nonconvex optimization problem which has an infinite number of constraints are …

[HTML][HTML] A new approach to characterize the solution set of a pseudoconvex programming problem

TQ Son, DS Kim - Journal of computational and applied mathematics, 2014 - Elsevier
A new approach to characterize the solution set of a nonconvex optimization problem via its
dual problem is proposed. Some properties of the Lagrange function associated to the …

Characterizations of robust solution set of convex programs with uncertain data

XB Li, S Wang - Optimization Letters, 2018 - Springer
In this paper, we study convex programming problems with data uncertainty in both the
objective function and the constraints. Under the framework of robust optimization, we …

Simple bilevel programming and extensions

S Dempe, N Dinh, J Dutta, T Pandit - Mathematical Programming, 2021 - Springer
In this paper we discuss the simple bilevel programming problem (SBP) and its extension,
the simple mathematical programming problem under equilibrium constraints (SMPEC) …

Stationary conditions and characterizations of solution sets for interval-valued tightened nonlinear problems

KK Lai, SK Mishra, SK Singh, M Hassan - Mathematics, 2022 - mdpi.com
In this paper, we obtain characterizations of solution sets of the interval-valued mathematical
programming problems with switching constraints. Stationary conditions which are weaker …

Some characterizations of robust solution sets for uncertain convex optimization problems with locally Lipschitz inequality constraints.

N Sisarat, R Wangkeeree… - Journal of Industrial & …, 2020 - search.ebscohost.com
In this paper, we consider an uncertain convex optimization problem with a robust convex
feasible set described by locally Lipschitz constraints. Using robust optimization approach …

Characterizations of solution sets of differentiable quasiconvex programming problems

VI Ivanov - Journal of Optimization Theory and Applications, 2019 - Springer
In this paper, we study some problems with a continuously differentiable and quasiconvex
objective function. We prove that exactly one of the following two alternatives holds:(I) the …