Theory and Algorithms of Variational Inequality and Equilibrium Problems, and Their Applications
1Department of Mathematics, Sichuan Normal University, Chengdu, China
2Department of Mathematics, Sichuan University, Chengdu, China
3Department of Financial Mathematics, Southwestern University of Finance and Economics, Chengdu, China
4Department of Mathematics, Aligarh Muslim University, Aligarh, India
Theory and Algorithms of Variational Inequality and Equilibrium Problems, and Their Applications
Description
The variational inequality problem is a general problem formulation that encompasses many mathematical problems, including nonlinear equations, optimization problems, complementarity problems, and fixed point problems. Variational inequality is developed as a tool for the study of certain classes of partial deferential equations, economic equilibrium problems, and the pricing model of the option.
Equilibrium problems provide a mathematical framework which includes optimization, variational inequalities, fixed point and saddle point problems, and noncooperative games as particular cases. It has received an increasing interest mainly because many theoretical and algorithmic results developed for one of these models can be often extended to the others by using the unifying language.
This special issue is focused on the latest achievements in variational inequality and equilibrium theory, algorithm, and the related applications. Potential topics include, but are not limited to:
- Existence theorems and algorithms for variational inequality and equilibrium
- The property of the solution set of variational inequality and equilibrium
- Fixed point theorem and KKM theorem and their applications
- The related applications to complementarity problems, optimization problems, nonlinear equations, the pricing model of the option, and so forth
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/vip/ according to the following timetable: