[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 …

[图书][B] Conjugate duality in convex optimization

RI Bot - 2009 - books.google.com
The results presented in this book originate from the last decade research work of the author
in the? eld of duality theory in convex optimization. The reputation of duality in the …

[图书][B] Optimality conditions in convex optimization: a finite-dimensional view

A Dhara, J Dutta - 2011 - books.google.com
Covering the current state of the art, this book explores an important and central issue in
convex optimization: optimality conditions. Although many results presented in the chapters …

Constraint qualifications for convex inequality systems with applications in constrained optimization

C Li, KF Ng, TK Pong - SIAM Journal on Optimization, 2008 - SIAM
For an inequality system defined by an infinite family of proper convex functions, we
introduce some new notions of constraint qualifications in terms of the epigraphs of the …

Farkas' lemma: three decades of generalizations for mathematical optimization

N Dinh, V Jeyakumar - Top, 2014 - Springer
In this paper we present a survey of generalizations of the celebrated Farkas's lemma,
starting from systems of linear inequalities to a broad variety of non-linear systems. We focus …

[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 …

Constraint qualifications for extended Farkas's lemmas and Lagrangian dualities in convex infinite programming

DH Fang, C Li, KF Ng - SIAM Journal on Optimization, 2010 - SIAM
For an inequality system defined by a possibly infinite family of proper functions (not
necessarily lower semicontinuous), we introduce some new notions of constraint …

Variational analysis in semi-infinite and infinite programming, I: Stability of linear inequality systems of feasible solutions

MJ Cánovas, MA López, BS Mordukhovich… - SIAM Journal on …, 2010 - SIAM
This paper concerns applications of advanced techniques of variational analysis and
generalized differentiation to parametric problems of semi-infinite and infinite programming …

On strong and total Lagrange duality for convex optimization problems

RI Boţ, SM Grad, G Wanka - Journal of Mathematical Analysis and …, 2008 - Elsevier
We give some necessary and sufficient conditions which completely characterize the strong
and total Lagrange duality, respectively, for convex optimization problems in separated …

Robust linear semi-infinite programming duality under uncertainty

MA Goberna, V Jeyakumar, G Li, MA López - Mathematical Programming, 2013 - Springer
In this paper, we propose a duality theory for semi-infinite linear programming problems
under uncertainty in the constraint functions, the objective function, or both, within the …