[图书][B] Variational analysis and applications

BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

How to solve a semi-infinite optimization problem

O Stein - European Journal of Operational Research, 2012 - Elsevier
After an introduction to main ideas of semi-infinite optimization, this article surveys recent
developments in theory and numerical methods for standard and generalized semi-infinite …

Optimality and duality for robust multiobjective optimization problems

TD Chuong - Nonlinear Analysis, 2016 - Elsevier
This paper deals with a robust multiobjective optimization problem involving
nonsmooth/nonconvex real-valued functions. We establish necessary/sufficient optimality …

Robust optimality and duality in multiobjective optimization problems under data uncertainty

TD Chuong - SIAM Journal on Optimization, 2020 - SIAM
In this paper, we employ advanced techniques of variational analysis and generalized
differentiation to examine robust optimality conditions and robust duality for an uncertain …

Characterization of (weakly/properly/robust) efficient solutions in nonsmooth semi-infinite multiobjective optimization using convexificators

A Kabgani, M Soleimani-damaneh - Optimization, 2018 - Taylor & Francis
The main aim of this paper is to investigate weakly/properly/robust efficient solutions of a
nonsmooth semi-infinite multiobjective programming problem, in terms of convexificators. In …

[图书][B] Fundamentals of convex analysis and optimization

R Correa, A Hantoute, MA López - 2023 - Springer
This book provides a novel approach to convex analysis and convex optimization, based on
subdifferential calculus of pointwise suprema of convex functions. The main goal in writing …

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 …

Necessary and sufficient optimality conditions in DC semi-infinite programming

R Correa, MA López, P Pérez-Aros - SIAM Journal on Optimization, 2021 - SIAM
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 …

Constraint qualifications in semi-infinite systems and their applications in nonsmooth semi-infinite problems with mixed constraints

N Kanzi - SIAM Journal on Optimization, 2014 - SIAM
In this paper, we present several constraint qualifications, and we show that conditions
guarantee the nonvacuity of the Karush--Kuhn--Tucker multipliers set for nonsmooth semi …

Nonsmooth cone-constrained optimization with applications to semi-infinite programming

BS Mordukhovich, TTA Nghia - Mathematics of Operations …, 2014 - pubsonline.informs.org
This paper is devoted to the study of general nonsmooth problems of cone-constrained
optimization (or conic programming) important for various aspects of optimization theory and …