Computational Methods In Nonlinear Analysis: Efficient Algorithms, Fixed Point Theory And Applications

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Title: Computational Methods In Nonlinear Analysis: Efficient Algorithms, Fixed Point Theory And Applications
Description: The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory.This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.
Authors: Ioannis K Argyros, Said Hilout
Resource Type: eBook.
Subjects: Mathematics--Data processing, Nonlinear theories--Data processing
Categories: MATHEMATICS / Complex Analysis, MATHEMATICS / Applied, MATHEMATICS / Optimization
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
  – Type: ebook-epub
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  Availability: 0
Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 622027
RelevancyScore: 1051
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1050.81640625
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  Data: Computational Methods In Nonlinear Analysis: Efficient Algorithms, Fixed Point Theory And Applications
– Name: Abstract
  Label: Description
  Group: Ab
  Data: The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory.This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.
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  Data: <searchLink fieldCode="AR" term="%22Ioannis+K+Argyros%22">Ioannis K Argyros</searchLink><br /><searchLink fieldCode="AR" term="%22Said+Hilout%22">Said Hilout</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Mathematics--Data+processing%22">Mathematics--Data processing</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+theories--Data+processing%22">Nonlinear theories--Data processing</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.355
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Mathematics--Data processing
        Type: general
      – SubjectFull: Nonlinear theories--Data processing
        Type: general
    Titles:
      – TitleFull: Computational Methods In Nonlinear Analysis: Efficient Algorithms, Fixed Point Theory And Applications
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Ioannis K Argyros
      – PersonEntity:
          Name:
            NameFull: Said Hilout
      – PersonEntity:
          Name:
            NameFull: Ioannis K Argyros
      – PersonEntity:
          Name:
            NameFull: Said Hilout
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2013
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789814405829
            – Type: isbn-electronic
              Value: 9789814405836
            – Type: isbn-electronic
              Value: 9789814405843
          Titles:
            – TitleFull: Computational Methods In Nonlinear Analysis: Efficient Algorithms, Fixed Point Theory And Applications
              Type: main
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