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)

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
Creator
Contributor
Author
Provider
Subject
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 non-differentiable and multi-valued 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
Member of
http://library.link/vocab/creatorName
Ioffe, Alexander D
Image bit depth
0
LC call number
  • QA315-316
  • QA402.3
  • QA402.5-QA402.6
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)
Instantiates
Publication
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 Finite-Dimensional 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
10.1007/978-3-319-64277-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-64277-2
Label
Variational Analysis of Regular Mappings : Theory and Applications, by Alexander D. Ioffe, (electronic resource)
Publication
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 Finite-Dimensional 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
10.1007/978-3-319-64277-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-64277-2

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