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: Fixed Point Theory in Metric Spaces
    sub title: Recent Advances and Applications
  name:
    name part: Agarwal, Praveen.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Jleli, Mohamed.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Samet, Bessem.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 166 p. 2 illus. online resource.
  abstract: This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. Divided into ten chapters, it discusses topics such as the Banach contraction principle and its converse; Ran-Reurings fixed point theorem with applications; the existence of fixed points for the class of α-ψ contractive mappings with applications to quadratic integral equations; recent results on fixed point theory for cyclic mappings with applications to the study of functional equations; the generalization of the Banach fixed point theorem on Branciari metric spaces; the existence of fixed points for a certain class of mappings satisfying an implicit contraction; fixed point results for a class of mappings satisfying a certain contraction involving extended simulation functions; the solvability of a coupled fixed point problem under a finite number of equality constraints; the concept of generalized metric spaces, for which the authors extend some well-known fixed point results; and a new fixed point theorem that helps in establishing a Kelisky-Rivlin type result for q-Bernstein polynomials and modified q-Bernstein polynomials. The book is a valuable resource for a wide audience, including graduate students and researchers.
  table of contents: Banach Contraction Principle and Applications -- On Ran-Reurings Fixed Point Theorem -- On a-y Contractive Mappings and Related Fixed Point Theorems -- Cyclic Contractions: An Improvement Result -- On JS-Contraction Mappings in Branciari Metric Spaces -- An Implicit Contraction on a Set Equipped with Two Metrics -- On Fixed Points that Belong to the Zero Set of a Certain Function -- A Coupled Fixed Point Problem Under a Finite Number of Equality Constraints -- The Study of Fixed Points in JS-Metric Spaces -- Iterated Bernstein Polynomial Approximations.
  note: by Praveen Agarwal, Mohamed Jleli, Bessem Samet.
  subject:
    topic: Functional analysis
  subject:
    topic: Harmonic analysis
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Operator theory
  subject:
    topic: Integral equations
  subject:
    topic: Functional Analysis
  subject:
    topic: Abstract Harmonic Analysis
  subject:
    topic: Difference and Functional Equations
  subject:
    topic: Operator Theory
  subject:
    topic: Integral Equations
  classification: QA319-329.9
  classification: 515.7
  related item:
    title info:
      title: Springer eBooks
  identifier: 9789811329135
  identifier: https://doi.org/10.1007/978-981-13-2913-5
  record info:
    record creation date: 181013
    record change date: 20191024031950.0
    record identifier: 978-981-13-2913-5