Optimization with Multivalued Mappings : Theory, Applications and Algorithms

Theory, Applications and Algorithms

By: Stephan Dempe (Editor), Vyacheslav Kalashnikov (Editor)

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Hardcover | 1 July 2006

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292 Pages

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23.5 x 15.88 x 1.91

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Preface.- PART I. BILEVEL PROGRAMMING.- Optimality conditions for bilevel programming problems (Stephan Dempe, Vyatcheslav V. Kalashnikov and Nataliya Kalashnykova).- Path-based formulations of a bilevel toll setting problem (Mohamed Didi-Biha, Patrice Marcotte and Gilles Savard).- Bilevel programming with convex lower level problems (Joydeep Dutta and Stephan Dempe).- Optimality criteria for bilevel programming problems using the radial subdifferential (D. FanghÃ¤nel).- On approximate mixed Nash equilibria and average marginal functions for two-stage three-players games (Lina Mallozzi and Jacqueline Morgan).- PART II. MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS.- A direct proof for M-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints (Michael L. Flegel and Christian Kanzow).- On the use of bilevel programming for solving a structural optimization problem with discrete variables (Joaquim J. JÃºdice, Ana M. Faustino, Isabel M. Ribeiro and A. Serra Neves).- On the control of an evolutionary equilibrium in micromagnetics (Michal Kocvara, Martin KruzÃk, JirÃ V. Outrata).- Complementarity constraints as nonlinear equations: Theory and numerical experience (Sven Leyffer).- A semi-infinite approach to design centering (Oliver Stein).- PART III. SET-VALUED OPTIMIZATION.- Contraction mapping fixed point algorithms for solving multivalued mixed variational inequalities (Pham Ngoc Anh and Le Dung Muu).- Optimality conditions for a d.c. set-valued problem via the extremal principle (N. Gadhi).- First and second order optimality conditions in set optimization (V. Kalashnikov, B. Jadamba, A.A. Khan).

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Non-Fiction Mathematics Optimisation Linear Programming Applied Mathematics Calculus & Mathematical Analysis Calculus of Variations

Preface.-
Bilevel Programming
Optimality conditions for bilevel programming problems
Path-based formulations of a bilevel toll setting problem
Bilevel programming with convex lower level problems
Optimality criteria for bilevel programming problems using the radial subdifferential
On approximate mixed Nash equilibria and average marginal functions for two-stage three-players games
Mathematical Programs with Equilibrium Constraints
A direct proof for M-stationarity under MPEC-GCQ for mathematical programs with equilibrium constraints
On the use of bilevel programming for solving a structural optimization problem with discrete variables
On the control of an evolutionary equilibrium in micromagnetics
Complementarity constraints as nonlinear equations: Theory and numerical experience
A semi-infinite approach to design centering
Set-valued Optimization
Contraction mapping fixed point algorithms for solving multivalued mixed variational inequalities
Optimality conditions for a d.c. set-valued problem via the extremal principle
First and second order optimality conditions in set optimization
Table of Contents provided by Publisher. All Rights Reserved.

Optimization with Multivalued Mappings : Theory, Applications and Algorithms

Theory, Applications and Algorithms

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Hardcover

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