Numerical and Analytical Methods for Variational Inequalities and Related Problems with Applications
1Department of Mathematics, Nanjing University, Nanjing 210093, China
2Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA
3Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan
4Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 804, Taiwan
5School of Mathematics and LPMC, Nankai University, Tianjin 300071, China
Numerical and Analytical Methods for Variational Inequalities and Related Problems with Applications
Description
Variational inequality theory, which was introduced by Stampacchia in 1964, has emerged as a fascinating branch of mathematical and engineering sciences with a wide range of applications in industry, finance, economics, ecology, social, regional, pure, and applied sciences. A main and basic idea is to establish the equivalence between the variational inequalities and the fixed point problems. This alternative equivalence has been used to develop various kinds of iterative methods for solving variational inequalities and related optimization. These algorithms have witnessed great progress in recent years to handle problems in optimization problems, inverse problems, and differential equations.
We invite investigators to contribute original research articles as well as comprehensive review articles that will stimulate the continuing efforts to numerical analysis for variational inequality problems and fixed point problems with applications. Potential topics include, but are not limited to:
- Numerical methods for (general) variational inequalities and inclusions, nonlinear equations, fixed point problems, and systems of variational inequalities and inclusions
- Split feasibility problems
- Common problems associated with variational inequalities and fixed point problems
- Proximal point algorithms
- Numerical comparisons
- Stability of numerical methods
- Equivalency between numerical methods
- Applications to inverse problems and differential equations
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