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The Resource Variational Analysis of Regular Mappings : Theory and Applications, by Alexander D. Ioffe, (electronic resource)
Variational Analysis of Regular Mappings : Theory and Applications, by Alexander D. Ioffe, (electronic resource)
Resource Information
The item Variational Analysis of Regular Mappings : Theory and Applications, by Alexander D. Ioffe, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Variational Analysis of Regular Mappings : Theory and Applications, by Alexander D. Ioffe, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory. The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear functional analysis and global analysis centered around problems of existence and stability of solutions of nonlinear equations. In variational analysis, regularity theory goes far beyond the classical setting and is also concerned with nondifferentiable and multivalued operators. The present volume explores all basic aspects of the theory, from the most general problems for mappings between metric spaces to those connected with fairly concrete and important classes of operators acting in Banach and finite dimensional spaces. Written by a leading expert in the field, the book covers new and powerful techniques, which have proven to be highly efficient even in classical settings, and outlines the theory’s predominantly quantitative character, leading to a variety of new and unexpected applications. Variational Analysis of Regular Mappings is aimed at graduate students and researchers in nonlinear and functional analysis, especially those working in areas close to optimization and optimal control, and will be suitable to anyone interested in applying new concepts and ideas to operations research, control engineering and numerical analysis
 Language
 eng
 Extent
 XXI, 494 p. 11 illus., 2 illus. in color.
 Contents

 1 The Classical Theory
 2 Metric Theory: Phenomenology
 3 Metric Theory: The Infinitesimal Viewpoint
 4 Subdifferentials: A Short Introduction
 5 Banach Space Theory: Regularity Criteria
 6 Banach Space Theory: Special Classes of Mappings
 7 Applications to Analysis and Optimization 1
 8 Regularity in FiniteDimensional Spaces
 9 Applications to Analysis and Optimization 2
 Isbn
 9783319642772
 Label
 Variational Analysis of Regular Mappings : Theory and Applications
 Title
 Variational Analysis of Regular Mappings
 Title remainder
 Theory and Applications
 Statement of responsibility
 by Alexander D. Ioffe
 Subject

 Manifolds (Mathematics)
 Functional analysis
 Global analysis (Mathematics)
 Functional equations
 Manifolds (Mathematics)
 Mathematical optimization
 Functional Analysis
 Calculus of variations
 Functional equations
 Electronic resources
 Functional Analysis
 Continuous Optimization
 Mathematics
 Global Analysis and Analysis on Manifolds
 Difference equations
 Global analysis (Mathematics)
 Mathematics
 Manifolds (Mathematics)
 Calculus of Variations and Optimal Control; Optimization
 Difference and Functional Equations
 Difference equations
 Functional analysis
 Calculus of variations
 Mathematical optimization
 Language
 eng
 Summary
 This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory. The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear functional analysis and global analysis centered around problems of existence and stability of solutions of nonlinear equations. In variational analysis, regularity theory goes far beyond the classical setting and is also concerned with nondifferentiable and multivalued operators. The present volume explores all basic aspects of the theory, from the most general problems for mappings between metric spaces to those connected with fairly concrete and important classes of operators acting in Banach and finite dimensional spaces. Written by a leading expert in the field, the book covers new and powerful techniques, which have proven to be highly efficient even in classical settings, and outlines the theory’s predominantly quantitative character, leading to a variety of new and unexpected applications. Variational Analysis of Regular Mappings is aimed at graduate students and researchers in nonlinear and functional analysis, especially those working in areas close to optimization and optimal control, and will be suitable to anyone interested in applying new concepts and ideas to operations research, control engineering and numerical analysis
 http://library.link/vocab/creatorName
 Ioffe, Alexander D
 Image bit depth
 0
 LC call number

 QA315316
 QA402.3
 QA402.5QA402.6
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Springer Monographs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Difference equations
 Functional equations
 Functional analysis
 Global analysis (Mathematics)
 Manifolds (Mathematics)
 Calculus of variations
 Mathematical optimization
 Mathematics
 Calculus of Variations and Optimal Control; Optimization
 Continuous Optimization
 Functional Analysis
 Global Analysis and Analysis on Manifolds
 Difference and Functional Equations
 Label
 Variational Analysis of Regular Mappings : Theory and Applications, by Alexander D. Ioffe, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 The Classical Theory  2 Metric Theory: Phenomenology  3 Metric Theory: The Infinitesimal Viewpoint  4 Subdifferentials: A Short Introduction  5 Banach Space Theory: Regularity Criteria  6 Banach Space Theory: Special Classes of Mappings  7 Applications to Analysis and Optimization 1  8 Regularity in FiniteDimensional Spaces  9 Applications to Analysis and Optimization 2
 Dimensions
 unknown
 Extent
 XXI, 494 p. 11 illus., 2 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319642772
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319642772
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319642772
 Label
 Variational Analysis of Regular Mappings : Theory and Applications, by Alexander D. Ioffe, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 1 The Classical Theory  2 Metric Theory: Phenomenology  3 Metric Theory: The Infinitesimal Viewpoint  4 Subdifferentials: A Short Introduction  5 Banach Space Theory: Regularity Criteria  6 Banach Space Theory: Special Classes of Mappings  7 Applications to Analysis and Optimization 1  8 Regularity in FiniteDimensional Spaces  9 Applications to Analysis and Optimization 2
 Dimensions
 unknown
 Extent
 XXI, 494 p. 11 illus., 2 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319642772
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319642772
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319642772
Subject
 Calculus of Variations and Optimal Control; Optimization
 Calculus of variations
 Calculus of variations
 Continuous Optimization
 Difference and Functional Equations
 Difference equations
 Difference equations
 Electronic resources
 Functional Analysis
 Functional Analysis
 Functional analysis
 Functional analysis
 Functional equations
 Functional equations
 Global Analysis and Analysis on Manifolds
 Global analysis (Mathematics)
 Global analysis (Mathematics)
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Manifolds (Mathematics)
 Mathematical optimization
 Mathematical optimization
 Mathematics
 Mathematics
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/VariationalAnalysisofRegularMappingsTheory/hfODJr1sfjc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/VariationalAnalysisofRegularMappingsTheory/hfODJr1sfjc/">Variational Analysis of Regular Mappings : Theory and Applications, by Alexander D. Ioffe, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>