NDLI: Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints

Content Provider	Springer Nature Link
Author	Surowiec, Thomas M. Hintermüller, Michael Mordukhovich, Boris S.
Copyright Year	2013
Abstract	The derivation of multiplier-based optimality conditions for elliptic mathematical programs with equilibrium constraints (MPEC) is essential for the characterization of solutions and development of numerical methods. Though much can be said for broad classes of elliptic MPECs in both polyhedric and non-polyhedric settings, the calculation becomes significantly more complicated when additional constraints are imposed on the control. In this paper we develop three derivation methods for constrained MPEC problems: via concepts from variational analysis, via penalization of the control constraints, and via penalization of the lower-level problem with the subsequent regularization of the resulting nonsmoothness. The developed methods and obtained results are then compared and contrasted.
Ending Page	582
Page Count	28
Starting Page	555
File Format	PDF
ISSN	00255610
e-ISSN	14364646
Journal	Mathematical Programming
Issue Number	1-2
Volume Number	146
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-08-27
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Optimality conditions, duality Elliptic mathematical programs with equilibrium constraints Theoretical, Mathematical and Computational Physics Problems involving relations other than differential equations Complementarity and equilibrium problems and variational inequalities (finite dimensions) Coderivatives Optimization and variational techniques Mathematical Methods in Physics Stationarity conditions Calculus of Variations and Optimal Control; Optimization Mathematics of Computing Control constraints Numerical Analysis Optimal control of variational inequalities Combinatorics
Content Type	Text
Resource Type	Article
Subject	Mathematics Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

A bundle-free implicit programming approach for a class of elliptic MPECs in function space

Lifting mathematical programs with complementarity constraints

Strong Stationarity Conditions for a Class of Optimization Problems Governed by Variational Inequalities of the Second Kind

C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening

Optimal Control of Problems Governed by Abstract Elliptic Variational Inequalities with State Constraints

First-Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis

Elastic-mode algorithms for mathematical programs with equilibrium constraints: global convergence and stationarity properties

Optimality Conditions via Exact Penalty Functions

Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities

Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints

Similar Documents

A bundle-free implicit programming approach for a class of elliptic MPECs in function space

Lifting mathematical programs with complementarity constraints

Strong Stationarity Conditions for a Class of Optimization Problems Governed by Variational Inequalities of the Second Kind

C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening

Optimal Control of Problems Governed by Abstract Elliptic Variational Inequalities with State Constraints

First-Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis

Elastic-mode algorithms for mathematical programs with equilibrium constraints: global convergence and stationarity properties

Optimality Conditions via Exact Penalty Functions

Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities

Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints