Abstract and Applied Analysis

Advance in Nonlinear Analysis: Algorithm, Convergence and Applications


Publishing date
19 Jul 2013
Status
Published
Submission deadline
01 Mar 2013

Lead Editor

1Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong

2Department of Mathematics, Tianjin Polytechnic University, Tianjin, China

3Department of Applied Mathematics, University of New South Wales, Sydney, NSW 2052, Australia

4College of Mathematics and Information Science, Henan Normal University, Henan, China


Advance in Nonlinear Analysis: Algorithm, Convergence and Applications

Description

Most of the rich notions, theories, techniques, and results of nonlinear analysis have been combined and applied in solving many different problems such as economics, numerical analysis, optimization, mechanics, elasticity, plasticity, hydrodynamics, thermodynamics, and statistical physics. In turn, these nonlinear problems have led to new and rapid developments in this theory.

This special issue will focus on important developments in nonlinear analysis and its applications with a particular emphasis on the following potential topics. Potential topics include, but are not limited to:

  • Nonlinear eigenvalue problems and nonlinear spectral theory
  • Iteration theory, iterative and composite equations
  • Fixed point theory and methods of computing fixed points
  • Nonsmooth analysis, variational analysis, and convex analysis and its applications
  • Variational and other types of inequalities involving nonlinear mappings (general)
  • Semidefinite programming, polynomial optimization
  • Multilinear algebra and tensor computation
  • Positive operator inequality and its applications in operator equation, spectrum theory, and so forth
  • Banach space geometric constant and its applications
  • Miscellaneous applications of nonlinear analysis

Before submission authors should carefully read over the journal's Author 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/adno/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 154975
  • - Editorial

Advance in Nonlinear Analysis: Algorithm, Convergence, and Applications

Yisheng Song | Rudong Chen | ... | Changsen Yang
  • Special Issue
  • - Volume 2013
  • - Article ID 832548
  • - Research Article

Extragradient Method for Solutions of Variational Inequality Problems in Banach Spaces

H. Zegeye | N. Shahzad
  • Special Issue
  • - Volume 2013
  • - Article ID 386930
  • - Research Article

Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators

Yazheng Dang | Yan Gao
  • Special Issue
  • - Volume 2013
  • - Article ID 368610
  • - Research Article

A New Extension of Serrin's Lower Semicontinuity Theorem

Xiaohong Hu | Shiqing Zhang
  • Special Issue
  • - Volume 2013
  • - Article ID 912373
  • - Research Article

A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal

Gang Dong | Zhichang Guo | Boying Wu
  • Special Issue
  • - Volume 2013
  • - Article ID 192509
  • - Research Article

Existence and Monotone Iteration of Positive Pseudosymmetric Solutions for a Third-Order Four-Point BVP with -Laplacian

Dan Li | Libo Wang | Minghe Pei
  • Special Issue
  • - Volume 2013
  • - Article ID 132626
  • - Research Article

On Rate of Convergence of Jungck-Type Iterative Schemes

Nawab Hussain | Vivek Kumar | Marwan A. Kutbi
  • Special Issue
  • - Volume 2013
  • - Article ID 704137
  • - Research Article

Perturbation-Iteration Method for First-Order Differential Equations and Systems

Mehmet Şenol | İhsan Timuçin Dolapçı | ... | Mehmet Pakdemirli
  • Special Issue
  • - Volume 2013
  • - Article ID 747613
  • - Research Article

Extinction and Nonextinction for the Fast Diffusion Equation

Chunlai Mu | Li Yan | Yi-bin Xiao
  • Special Issue
  • - Volume 2013
  • - Article ID 679075
  • - Research Article

Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Volterra Delay Integro-Differential Equations

Haiyan Yuan | Cheng Song
Abstract and Applied Analysis
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
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