[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 …

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 …

[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 …

Subdifferentials of nonconvex supremum functions and their applications to semi-infinite and infinite programs with Lipschitzian data

BS Mordukhovich, TTA Nghia - SIAM Journal on Optimization, 2013 - SIAM
The paper is devoted to the subdifferential study and applications of the supremum of
uniformly Lipschitzian functions over arbitrary index sets with no topology. Based on …

On the Mangasarian–Fromovitz constraint qualification and Karush–Kuhn–Tucker conditions in nonsmooth semi-infinite multiobjective programming

PQ Khanh, NM Tung - Optimization Letters, 2020 - Springer
We discuss constraint qualifications in Karush–Kuhn–Tucker multiplier rules in nonsmooth
semi-infinite multiobjective programming. A version of the Manganarian–Fromovitz …

Optimality conditions in convex multiobjective SIP

MA Goberna, N Kanzi - Mathematical Programming, 2017 - Springer
The purpose of this paper is to characterize the weak efficient solutions, the efficient
solutions, and the isolated efficient solutions of a given vector optimization problem with …

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 …

Strong Karush–Kuhn–Tucker optimality conditions for multiobjective semi-infinite programming via tangential subdifferential

LT Tung - RAIRO-Operations Research-Recherche …, 2018 - numdam.org
The main aim of this paper is to study strong Karush–Kuhn–Tucker (KKT) optimality
conditions for nonsmooth multiobjective semi-infinite programming (MSIP) problems. By …

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 …

Optimality conditions for convex semi-infinite programming problems with finitely representable compact index sets

O Kostyukova, T Tchemisova - Journal of Optimization Theory and …, 2017 - Springer
In the present paper, we analyze a class of convex semi-infinite programming problems with
arbitrary index sets defined by a finite number of nonlinear inequalities. The analysis is …