The Resource Optimization with Multivalued Mappings : Theory, Applications and Algorithms, edited by Stephan Dempe, Vyacheslav Kalashnikov, (electronic resource)

Optimization with Multivalued Mappings : Theory, Applications and Algorithms, edited by Stephan Dempe, Vyacheslav Kalashnikov, (electronic resource)

Label
Optimization with Multivalued Mappings : Theory, Applications and Algorithms
Title
Optimization with Multivalued Mappings
Title remainder
Theory, Applications and Algorithms
Statement of responsibility
edited by Stephan Dempe, Vyacheslav Kalashnikov
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
In the field of nondifferentiable nonconvex optimization, one of the most intensely investigated areas is that of optimization problems involving multivalued mappings in constraints or as the objective function. This book focuses on the tremendous development in the field that has taken place since the publication of the most recent volumes on the subject. The new topics studied include the formulation of optimality conditions using different kinds of generalized derivatives for set-valued mappings (such as, for example, the coderivative of Mordukhovich), the opening of new applications (e.g., the calibration of water supply systems), or the elaboration of new solution algorithms (e.g., smoothing methods). The book is divided into three parts. The focus in the first part is on bilevel programming. The chapters in the second part contain investigations of mathematical programs with equilibrium constraints. The third part is on multivalued set-valued optimization. The chapters were written by outstanding experts in the areas of bilevel programming, mathematical programs with equilibrium (or complementarity) constraints (MPEC), and set-valued optimization problems. Audience This book is intended for researchers, graduate students and practitioners in the fields of applied mathematics, operations research, and economics
Member of
Is Subseries of
Dewey number
519.76
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • Ro6w9_Hry0A
  • UD3yBCUAB14
Language note
English
LC call number
QA402.5-402.6
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Dempe, Stephan.
  • Kalashnikov, Vyacheslav.
Series statement
Springer Optimization and Its Applications,
Series volume
2
http://library.link/vocab/subjectName
  • Mathematical optimization
  • Optimization
  • Calculus of Variations and Optimal Control; Optimization
Label
Optimization with Multivalued Mappings : Theory, Applications and Algorithms, edited by Stephan Dempe, Vyacheslav Kalashnikov, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (280 p.)
Form of item
online
Isbn
9780387342214
Media category
computer
Media type code
  • c
Other control number
10.1007/0-387-34221-4
Specific material designation
remote
System control number
  • (CKB)1000000000282898
  • (EBL)372435
  • (OCoLC)262691166
  • (SSID)ssj0000305196
  • (PQKBManifestationID)11259787
  • (PQKBTitleCode)TC0000305196
  • (PQKBWorkID)10285099
  • (PQKB)10387049
  • (SSID)ssj0000772634
  • (PQKBManifestationID)12295144
  • (PQKBTitleCode)TC0000772634
  • (PQKBWorkID)10825299
  • (PQKB)10929086
  • (DE-He213)978-0-387-34221-4
  • (MiAaPQ)EBC372435
  • (EXLCZ)991000000000282898
Label
Optimization with Multivalued Mappings : Theory, Applications and Algorithms, edited by Stephan Dempe, Vyacheslav Kalashnikov, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
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
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (280 p.)
Form of item
online
Isbn
9780387342214
Media category
computer
Media type code
  • c
Other control number
10.1007/0-387-34221-4
Specific material designation
remote
System control number
  • (CKB)1000000000282898
  • (EBL)372435
  • (OCoLC)262691166
  • (SSID)ssj0000305196
  • (PQKBManifestationID)11259787
  • (PQKBTitleCode)TC0000305196
  • (PQKBWorkID)10285099
  • (PQKB)10387049
  • (SSID)ssj0000772634
  • (PQKBManifestationID)12295144
  • (PQKBTitleCode)TC0000772634
  • (PQKBWorkID)10825299
  • (PQKB)10929086
  • (DE-He213)978-0-387-34221-4
  • (MiAaPQ)EBC372435
  • (EXLCZ)991000000000282898

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