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: Genericity in Nonlinear Analysis
  name:
    name part: Reich, Simeon.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Zaslavski, Alexander J.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 520 p. online resource.
  abstract: This book presents an extensive collection of state-of-the-art results and references in nonlinear functional analysis demonstrating how the generic approach proves to be very useful in solving many interesting and important problems. Nonlinear analysis plays an ever-increasing role in theoretical and applied mathematics, as well as in many other areas of science such as engineering, statistics, computer science, economics, finance, and medicine. The text may be used as supplementary material for graduate courses in nonlinear functional analysis, optimization theory and approximation theory, and is a treasure trove for instructors, researchers, and practitioners in mathematics and in the mathematical sciences. Each chapter is self-contained; proofs are solid and carefully communicated. Genericity in Nonlinear Analysis is the first book to systematically present the generic approach to nonlinear analysis. Topics presented include convergence analysis of powers and infinite products via the Baire Category Theorem, fixed point theory of both single- and set-valued mappings, best approximation problems, discrete and continuous descent methods for minimization in a general Banach space, and the structure of minimal energy configurations with rational numbers in the Aubry–Mather theory.
  table of contents: Preface -- 1. Introduction -- 2. Fixed Point Results and Convergence of Powers of Operators -- 3. Contractive Mappings -- 4. Dynamical Systems with Convex Lyapunov Functions -- 5. Relatively Nonexpansive Operators with Respect to Bregman Distances.- 6. Infinite Products -- 7. Best Approximation -- 8. Descent Methods -- 9. Set-Valued Mappings -- 10. Minimal Configurations in the Aubry–Mather Theory -- References -- Index.
  note: by Simeon Reich, Alexander J. Zaslavski.
  subject:
    topic: Mathematics
  subject:
    topic: Functional analysis
  subject:
    topic: Operator theory
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematics
  subject:
    topic: Functional Analysis
  subject:
    topic: Operator Theory
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  classification: QA319-329.9
  classification: 515.7
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Developments in Mathematics, 34
  identifier: 9781461495338
  identifier: http://dx.doi.org/10.1007/978-1-4614-9533-8
  record info:
    record creation date: 131121
    record change date: 20151103123027.0
    record identifier: 978-1-4614-9533-8