Abstract and Applied Analysis

Iterative Fixed-Point Methods for Solving Nonlinear Problems: Dynamics and Applications


Status
Published

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

2University Institute of Engineering and Technology, Panjab University, Chandigarh 160014, India

3School of Mathematics and Statistics, Hubei Engineering University, Xiaogan, Hubei 432000, China


Iterative Fixed-Point Methods for Solving Nonlinear Problems: Dynamics and Applications

Description

The fixed-point operator plays a significant as well as remarkable role in the study of nonlinear phenomena occurring in engineering, physics, economics, life sciences, and medicine. The design of fixed-point iterative methods for solving nonlinear problems, in particular nonlinear equations or systems, has gained a spectacular development in the last two decades. Nevertheless, the existence of recent and extensive literature on these iterative schemes reveals that this topic is still a dynamic branch of the applied mathematics with interesting and promising applications.

In the recent years, the study of the dynamical behavior of the rational operator associated with an iterative method has also become a rapidly growing area of research, since the dynamical properties of the rational operator give us important information about the convergence, efficiency, and reliability of the iterative method.

The purpose of this special issue is to explore the last advances in the field of fixed-point iterative methods for solving nonlinear problems and 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 (with and without memory) for solving nonlinear equations or systems
  • Optimal iterative schemes in the sense of Kung-Traub’s conjecture
  • Steffensen-type methods for solving nonlinear problems
  • Fixed-point iterative methods to solve singular problems
  • Dynamical studies (basins of attraction, periodic orbits, bifurcations, etc.) of fixed-point functions and their relationship with the convergence of the method
  • Fixed-point iterative methods for Banach spaces
  • Iterative methods for solving nonlinear matrix equations
  • Iterative methods applied to nonlinear engineering problems:
    • Optimization problems
    • Integral equations
    • Nonlinear partial differential equations
  • Application in matrix inversion, such as in Moore-Penrose inverse and Drazin inverse

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


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 313061
  • - Editorial

Iterative Fixed-Point Methods for Solving Nonlinear Problems: Dynamics and Applications

Juan R. Torregrosa | Alicia Cordero | ... | Jisheng Kou
  • Special Issue
  • - Volume 2014
  • - Article ID 141643
  • - Research Article

Study of a Biparametric Family of Iterative Methods

B. Campos | A. Cordero | ... | P. Vindel
  • Special Issue
  • - Volume 2014
  • - Article ID 781704
  • - Research Article

Convergence of Infinite Family of Multivalued Quasi-Nonexpansive Mappings Using Multistep Iterative Processes

Renu Chugh | Sanjay Kumar
  • Special Issue
  • - Volume 2014
  • - Article ID 589679
  • - Research Article

Existence and Algorithm for the Systems of Hierarchical Variational Inclusion Problems

Nopparat Wairojjana | Poom Kumam
  • Special Issue
  • - Volume 2014
  • - Article ID 917583
  • - Research Article

Fixed Point Method to Analyze Differences between Hipparcos and ICRF2

María José Martínez Usó | Francisco J. Marco Castillo | José Antonio López Ortí
  • Special Issue
  • - Volume 2014
  • - Article ID 680919
  • - Research Article

Existence of Solutions for a Coupled System of Second and Fourth Order Elliptic Equations

Fanglei Wang
  • Special Issue
  • - Volume 2014
  • - Article ID 563787
  • - Research Article

A New Iterative Method for Finding Approximate Inverses of Complex Matrices

M. Kafaei Razavi | A. Kerayechian | ... | S. Shateyi
  • Special Issue
  • - Volume 2014
  • - Article ID 525087
  • - Research Article

A Numerical Method for Computing the Principal Square Root of a Matrix

F. Soleymani | S. Shateyi | F. Khaksar Haghani
  • Special Issue
  • - Volume 2014
  • - Article ID 365203
  • - Research Article

The Hybrid Steepest Descent Method for Split Variational Inclusion and Constrained Convex Minimization Problems

Jitsupa Deepho | Poom Kumam
  • Special Issue
  • - Volume 2014
  • - Article ID 978629
  • - Research Article

An Algorithm for Computing Geometric Mean of Two Hermitian Positive Definite Matrices via Matrix Sign

F. Soleymani | M. Sharifi | ... | F. Khaksar Haghani
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
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