Abstract and Applied Analysis

Nonlinear Analysis: Optimization Methods, Convergence Theory, and Applications

Publishing date
20 Mar 2015
Submission deadline
31 Oct 2014

Lead Editor

1Guangxi University, Nanning, China

2Gannan Normal University, Ganzhou, China

3Research Institute for Informatics (ICI), Bucharest, Romania

4Changsha University of Science and Technology, Changsha, China

5Henan University, Kaifeng, China

Nonlinear Analysis: Optimization Methods, Convergence Theory, and Applications


Nonlinear analysis has been used in many practical application fields, such as nonlinear fitting, economics, optimization, convergence, engineering, hydrodynamics, parameter estimation, function approximation, and elasticity. There are many achievements on nonlinear analysis that have been obtained by authors. However, there still exist lots of challenging problems, such as the large-scale problems, fast algorithm, and convergence, since the complex of the nonlinear object function on its variables can not be obviously determined in many cases. So the research and application space of nonlinear analysis are broad.

We invite investigators to contribute original research and review articles that will help in understanding the important new developments in nonlinear analysis and its applications with a particular emphasis on the following potential topics.

Potential topics include, but are not limited to:

  • Optimization, variational analysis, and convex analysis
  • Fixed point theory and methods of computing fixed points
  • Numerical methods and convergence
  • Nonlinear equations, large-scale problems, nonlinear eigenvalue problems, and nonlinear spectral theory
  • Iteration theory and iterative and composite equations
  • Semidefinite programming and polynomial optimization
  • Multilinear algebra and tensor computation
  • Image processing, positive operator inequality, and spectrum theory
  • Miscellaneous applications of nonlinear analysis
Abstract and Applied Analysis
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