Characterizing robust solution sets of convex programs under data uncertainty
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 …
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
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 …
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 …
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 …
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 …
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 …
objective function and the constraints. Under the framework of robust optimization, we …
Simple bilevel programming and extensions
In this paper we discuss the simple bilevel programming problem (SBP) and its extension,
the simple mathematical programming problem under equilibrium constraints (SMPEC) …
the simple mathematical programming problem under equilibrium constraints (SMPEC) …
Stationary conditions and characterizations of solution sets for interval-valued tightened nonlinear problems
In this paper, we obtain characterizations of solution sets of the interval-valued mathematical
programming problems with switching constraints. Stationary conditions which are weaker …
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.
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 …
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 …
objective function. We prove that exactly one of the following two alternatives holds:(I) the …