[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 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
This paper concerns applications of advanced techniques of variational analysis and
generalized differentiation to parametric problems of semi-infinite and infinite programming …
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 …
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 …
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 …
in their uncertainty sets. In particular, we focus on robust linear optimization problems …
Comparative study of RPSALG algorithm for convex semi-infinite programming
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 …
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
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 …
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 …
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 …
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
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 …
optimization problems posed in a Banach space. The problems considered in this paper …