[BOOK][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 …

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 …

Constraint qualifications for optimality conditions and total Lagrange dualities in convex infinite programming

DH Fang, C Li, KF Ng - Nonlinear Analysis: Theory, Methods & …, 2010 - Elsevier
For an inequality system defined by an infinite family of proper convex functions (not
necessarily lower semicontinuous), we introduce some new notions of constraint …

Stability of minimal solutions to parametric set optimization problems

S Khoshkhabar-amiranloo - Applicable Analysis, 2018 - Taylor & Francis
In this paper we study the stability of the minimal solutions of set optimization problems. We
provide sufficient conditions for the upper and lower semicontinuity and compactness of the …

Stability and continuity in robust optimization

TCY Chan, PA Mar - SIAM Journal on Optimization, 2017 - SIAM
We consider the stability of robust optimization (RO) problems with respect to perturbations
in their uncertainty sets. In particular, we focus on robust linear optimization problems …

Comparative study of RPSALG algorithm for convex semi-infinite programming

A Auslender, A Ferrer, MA Goberna… - Computational optimization …, 2015 - Springer
The Remez penalty and smoothing algorithm (RPSALG) is a unified framework for penalty
and smoothing methods for solving min-max convex semi-infinite programing problems …

Distance to ill-posedness for linear inequality systems under block perturbations: convex and infinite-dimensional cases

MJ Cánovas, MA López, J Parra, FJ Toledo - Optimization, 2011 - Taylor & Francis
This article extends some results of Cánovas et al.[MJ Cánovas, MA López, J. Parra, and FJ
Toledo, Distance to ill-posedness and the consistency value of linear semi-infinite inequality …

Convergence analysis of the Gauss–Newton method for convex inclusion and convex-composite optimization problems

C Li, KF Ng - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
Using the convex process theory we study the convergence issues of the iterative
sequences generated by the Gauss–Newton method for the convex inclusion problem …

Stability in linear optimization and related topics. A personal tour

MA López - Top, 2012 - Springer
This paper is a kind of biased survey of the most representative and recent results on
stability for the linear optimization problem. Qualitative and quantitative approaches are …

On the stability of the optimal value and the optimal set in optimization problems

N Dinh, MA Goberna, MA López - 2010 - ddd.uab.cat
The paper develops a stability theory for the optimal value and the optimal set map** of
optimization problems posed in a Banach space. The problems considered in this paper …