Search
Search Results
-
Stability and Sensitivity of Uncertain Linear Programs
The present paper deals with uncertain linear optimization problems where the objective function coefficient vector belongs to a compact convex...
-
Duality for Sets of Strong Slater Points
The strong Slater condition plays a significant role in the stability analysis of linear semi-infinite inequality systems. This piece of work studies...
-
Optimality Conditions for Minimax Optimization Problems with an Infinite Number of Constraints and Related Applications
This paper is concerned with the study of optimality conditions for minimax optimization problems with an infinite number of constraints, denoted by...
-
Isolated Calmness and Sharp Minima via Hölder Graphical Derivatives
The paper utilizes Hölder graphical derivatives for characterizing Hölder strong subregularity, isolated calmness and sharp minimum. As applications,...
-
A Penalty Function Method for the Principal-Agent Problem with an Infinite Number of Incentive-Compatibility Constraints under Moral Hazard
In this paper, we propose an iterative algorithm to find the optimal incentive mechanism for the principal-agent problem under moral hazard where the...
-
Sensitivity Analysis of Stochastic Constraint and Variational Systems via Generalized Differentiation
This paper conducts sensitivity analysis of random constraint and variational systems related to stochastic optimization and variational...
-
Immobile Indices and CQ-Free Optimality Criteria for Linear Copositive Programming Problems
We consider problems of linear copositive programming where feasible sets consist of vectors for which the quadratic forms induced by the...
-
Hölder Error Bounds and Hölder Calmness with Applications to Convex Semi-infinite Optimization
Using techniques of variational analysis, necessary and sufficient subdifferential conditions for Hölder error bounds are investigated and some new...
-
Stability of the Duality Gap in Linear Optimization
In this paper we consider the duality gap function g that measures the difference between the optimal values of the primal problem and of the dual...
-
A fuzzy semi-infinite optimization problem
In this paper, we present a fuzzy semi-infinite optimization problem. Moreover, we will deduce the Fritz-John and Kuhn-Tucker necessary conditions of...
-
Stability in Linear Optimization Under Perturbations of the Left-Hand Side Coefficients
This paper studies stability properties of linear optimization problems with finitely many variables and an arbitrary number of constraints, when...
-
A new computational approach for solving optimal control of linear PDEs problem
In this paper, we present a new computational approach for solving an internal optimal control problem, which is governed by a linear parabolic...
-
Convex SIP Problems with Finitely Representable Compact Index Sets: Immobile Indices and the Properties of the Auxiliary NLP Problem
In the paper, we consider a problem of convex Semi-Infinite Programming with a compact index set defined by a finite number of nonlinear...
-
Existence results for generalized vector equilibrium problems with applications
By a coincidence theorem, some existence theorems of solutions are proved for four types of generalized vector equilibrium problems with moving...
-
Calmness of the Feasible Set Map** for Linear Inequality Systems
In this paper we deal with parameterized linear inequality systems in the n-dimensional Euclidean space, whose coefficients depend continuosly on an...
-
Characterizations of ɛ-duality gap statements for constrained optimization problems
In this paper we present different regularity conditions that equivalently characterize various ɛ -duality gap statements (with ɛ ≥ 0) for constrained...
-
On Metric Regularity and the Boundary of the Feasible Set in Linear Optimization
This paper deals with semi-infinite linear inequality systems in ℝ n and studies the stability of the boundary of their feasible sets. We analyze the...
-
Parametric duality models for semiinfinite multiobjective fractional programming problems containing generalized (α, η, ρ)-V-invex functions
In this paper, we present several parametric duality results under various generalized ( α,η,ρ )-V-invexity assumptions for a semiinfinite...
-
An entropy based central cutting plane algorithm for convex min-max semi-infinite programming problems
In this paper, we present a central cutting plane algorithm for solving convex min-max semi-infinite programming problems. Because the objective...