rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Set-valued Optimization
    sub title: An Introduction with Applications
  name:
    name part: Khan, Akhtar A.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Tammer, Christiane.
    role:
      role term: author.
  name:
    name part: Zălinescu, Constantin.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2015
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 765 p. 29 illus. online resource.
  abstract: Set-valued optimization is a vibrant and expanding branch of mathematics that deals with optimization problems where the objective map and/or the constraints maps are set-valued maps acting between certain spaces. Since set-valued maps subsumes single valued maps, set-valued optimization provides an important extension and unification of the scalar as well as the vector optimization problems. Therefore this relatively new discipline has justifiably attracted a great deal of attention in recent years. This book presents, in a unified framework, basic properties on ordering relations, solution concepts for set-valued optimization problems, a detailed description of convex set-valued maps, most recent developments in separation theorems, scalarization techniques, variational principles, tangent cones of first and higher order, sub-differential of set-valued maps, generalized derivatives of set-valued maps, sensitivity analysis, optimality conditions, duality, and applications in economics among other things.
  table of contents: Introduction -- Order Relations and Ordering Cones -- Continuity and Differentiability -- Tangent Cones and Tangent Sets -- Nonconvex Separation Theorems -- Hahn-Banach Type Theorems -- Hahn-Banach Type Theorems -- Conjugates and Subdifferentials -- Duality -- Existence Results for Minimal Points -- Ekeland Variational Principle -- Derivatives and Epiderivatives of Set-valued Maps -- Optimality Conditions in Set-valued Optimization -- Sensitivity Analysis in Set-valued Optimization and Vector Variational Inequalities -- Numerical Methods for Solving Set-valued Optimization Problems -- Applications.
  note: by Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu.
  subject:
    topic: Mathematics
  subject:
    topic: Operations research
  subject:
    topic: Decision making
  subject:
    topic: Game theory
  subject:
    topic: Mathematical optimization
  subject:
    topic: Management science
  subject:
    topic: Mathematics
  subject:
    topic: Optimization
  subject:
    topic: Operation Research/Decision Theory
  subject:
    topic: Continuous Optimization
  subject:
    topic: Operations Research, Management Science
  subject:
    topic: Game Theory, Economics, Social and Behav. Sciences
  classification: QA402.5-402.6
  classification: 519.6
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Vector Optimization
  identifier: 9783642542657
  identifier: http://dx.doi.org/10.1007/978-3-642-54265-7
  record info:
    record creation date: 141020
    record change date: 20151111101229.0
    record identifier: 978-3-642-54265-7