Nonlinear Analysis: Optimization Methods, Convergence Theory, and Applications
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
Description
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