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, and 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 papers as well as comprehensive review papers that will stimulate the continuing efforts to numerical and analytical methods for variational inequality problems and fixed point problems with applications. Potential topics include, but are not limited to:

• Numerical and analytical methods for variational inequalities and inclusions
• Numerical and analytical methods for nonlinear equations
• Numerical and analytical methods for fixed point problems
• Numerical and analytical methods for systems of variational inequalities and inclusions
• Proximal point algorithms
• Split feasibility problems
• Common problems associated with variational inequalities and fixed point problems
• Resolvent methods
• Projection methods
• Numerical comparisons
• Stability of iterative methods
• Equivalency between methods
• Applications to inverse problems and differential equations

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/jam/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/jam/namvi13/ according to the following timetable: