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Convex Analysis In General Vector Spaces

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Title: Convex Analysis In General Vector Spaces
Description: The primary aim of this book is to present the conjugate and subdifferential calculus using the method of perturbation functions in order to obtain the most general results in this field. The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly convex and uniformly smooth convex functions, best approximation problems, characterizations of convexity, the study of the sets of weak sharp minima, well-behaved functions and the existence of global error bounds for convex inequalities, as well as the study of monotone multifunctions by using convex functions.
Authors: C Zalinescu
Resource Type: eBook.
Subjects: Convex sets, Convex functions, Vector spaces, Functional analysis
Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Vector Analysis, MATHEMATICS / Functional Analysis
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 210672
RelevancyScore: 979
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 978.796813964844
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  Data: Convex Analysis In General Vector Spaces
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  Label: Description
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  Data: The primary aim of this book is to present the conjugate and subdifferential calculus using the method of perturbation functions in order to obtain the most general results in this field. The secondary aim is to provide important applications of this calculus and of the properties of convex functions. Such applications are: the study of well-conditioned convex functions, uniformly convex and uniformly smooth convex functions, best approximation problems, characterizations of convexity, the study of the sets of weak sharp minima, well-behaved functions and the existence of global error bounds for convex inequalities, as well as the study of monotone multifunctions by using convex functions.
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  Data: <searchLink fieldCode="AR" term="%22C+Zalinescu%22">C Zalinescu</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Convex+sets%22">Convex sets</searchLink><br /><searchLink fieldCode="DE" term="%22Convex+functions%22">Convex functions</searchLink><br /><searchLink fieldCode="DE" term="%22Vector+spaces%22">Vector spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+analysis%22">Functional analysis</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.8
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Convex sets
        Type: general
      – SubjectFull: Convex functions
        Type: general
      – SubjectFull: Vector spaces
        Type: general
      – SubjectFull: Functional analysis
        Type: general
    Titles:
      – TitleFull: Convex Analysis In General Vector Spaces
        Type: main
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      – PersonEntity:
          Name:
            NameFull: C Zalinescu
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          Name:
            NameFull: C Zalinescu
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2002
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789812380678
            – Type: isbn-electronic
              Value: 9789812777096
          Titles:
            – TitleFull: Convex Analysis In General Vector Spaces
              Type: main
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