Journal of Applied Mathematics

Iterative Methods for Nonlinear Equations or Systems and Their Applications


Publishing date
15 Mar 2013
Status
Published
Submission deadline
26 Oct 2012

1Instituto de Matemáticas Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, Spain

2Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea

3Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran


Iterative Methods for Nonlinear Equations or Systems and Their Applications

Description

The construction of fixed-point iterative methods for approximating the zeros of nonlinear functions, in particular the solutions of nonlinear equations or systems, is an interesting task in numerical analysis and applied scientific branches. Over the last years, iterative techniques have been applied in many diverse fields as economics, engineering, physics, dynamical models, and so on. The existence of an extensive literature on these iterative schemes reveals that this topic is a dynamic branch of the applied mathematics with interesting and promising applications.

The aim of this special issue is to present the new trends in the field of fixed-point iterative methods for nonlinear problems and extend their applications in mathematics and applied sciences. We invite investigators to contribute original research articles as well as review articles that will stimulate the continuing efforts to design, develop, and apply high-order iterative schemes for solving nonlinear problems. Potential topics include, but are not limited to:

  • New developments in fixed-point iterative methods for solving nonlinear equations or systems
  • Optimal iterative schemes in the sense of Kung-Traub conjecture
  • Steffensen type methods for solving nonlinear problems
  • Fixed-point iterative methods for singular problems
  • Dynamical studies of fixed-point functions and its relationship with the convergence of the method
  • Fixed-point iterative methods for Banach spaces
  • Iterative methods applied to nonlinear engineering problems
    • Optimization problems
    • Nonlinear wave problems
    • Digital image processing
    • Electromagnetic problems
  • Interval methods for the solution of nonlinear equations
  • From fixed-point iterations to the inverses of units modulo prime powers in Number Theory

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/jam/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2012
  • - Article ID 165452
  • - Research Article

On a Novel Fourth-Order Algorithm for Solving Systems of Nonlinear Equations

Diyashvir K. R. Babajee | Alicia Cordero | ... | Juan R. Torregrosa
  • Special Issue
  • - Volume 2012
  • - Article ID 927450
  • - Research Article

Some New Variants of Cauchy's Methods for Solving Nonlinear Equations

Tianbao Liu | Hengyan Li
  • Special Issue
  • - Volume 2012
  • - Article ID 865810
  • - Research Article

On Variational Inclusion and Common Fixed Point Problems in q-Uniformly Smooth Banach Spaces

Yanlai Song | Huiying Hu | Luchuan Ceng
  • Special Issue
  • - Volume 2012
  • - Article ID 325473
  • - Research Article

Formulation and Solution of th-Order Derivative Fuzzy Integrodifferential Equation Using New Iterative Method with a Reliable Algorithm

A. A. Hemeda
  • Special Issue
  • - Volume 2012
  • - Article ID 902601
  • - Research Article

On Convergence Results for Lipschitz Pseudocontractive Mappings

Shin Min Kang | Arif Rafiq
  • Special Issue
  • - Volume 2012
  • - Article ID 709843
  • - Research Article

New Predictor-Corrector Methods with High Efficiency for Solving Nonlinear Systems

Alicia Cordero | Juan R. Torregrosa | María P. Vassileva
  • Special Issue
  • - Volume 2012
  • - Article ID 376421
  • - Research Article

The Meir-Keeler Type for Solving Variational Inequalities and Fixed Points of Nonexpansive Semigroups in Banach Spaces

Phayap Katchang | Poom Kumam
  • Special Issue
  • - Volume 2012
  • - Article ID 235474
  • - Research Article

Viscosity Approximations by the Shrinking Projection Method of Quasi-Nonexpansive Mappings for Generalized Equilibrium Problems

Rabian Wangkeeree | Nimit Nimana
  • Special Issue
  • - Volume 2012
  • - Article ID 417942
  • - Research Article

Numerical Solutions of a Variable-Order Fractional Financial System

Shichang Ma | Yufeng Xu | Wei Yue
Journal of Applied Mathematics
 Journal metrics
Acceptance rate15%
Submission to final decision42 days
Acceptance to publication64 days
CiteScore1.900
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