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Iterative Methods for Nonlinear Equations or Systems and Their Applications

Call for Papers

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:

Manuscript DueFriday, 26 October 2012
First Round of ReviewsFriday, 18 January 2013
Publication DateFriday, 15 March 2013

Lead Guest Editor

  • Juan R. Torregrosa, Instituto de Matemáticas Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, Spain

Guest Editors

  • Ioannis K. Argyros, Department of Mathematics Sciences, Cameron University, Lawton, OK 73505, USA
  • Changbum Chun, Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea
  • Alicia Cordero, Instituto de Matemáticas Multidisciplinar, Universitat Politècnica de València, 46022 Valencia, Spain
  • Fazlollah Soleymani, Department of Mathematics, Islamic Azad University, Zahedan Branch, Zahedan, Iran