Advances in Operations Research

Numerical Methods for Solving Variational Inequalities and Complementarity Problems


Publishing date
16 Nov 2012
Status
Published
Submission deadline
29 Jun 2012

Guest Editors

1Ibn Zohr University, P.O. Box 1136, Agadir, Morocco

2School of Economics and Management, Southeast University, Nanjing 210096, China


Numerical Methods for Solving Variational Inequalities and Complementarity Problems

Description

It is well known that variational inequalities have become a rich well of inspiration in pure and applied mathematics. Variational inequalities have been used in a large variety of problems arising in structural analysis, economics, optimization, operations research, engineering sciences, and so forth. We have now a variety of iterative algorithms including projection and contraction method, proximal point algorithms, alternating direction method, and the like. Variational inequalities have been extended in various directions using novel and innovative techniques. A useful and important generalization of variational inequalities is called the general mixed variational inequality involving the nonlinear bifunction. The equivalence between the mixed variational inequalities and the resolvent equations has played an important part in developing various efficient resolvent-type methods for solving general mixed variational inequalities.

This special issue focuses on algorithmic approaches to solve complementarity and variational inequality problems. We invite authors to contribute original as well as review articles. Potential topics include, but are not limited to:

  • Projection and contraction methods
  • Proximal point algorithms
  • Logarithmic-quadratic proximal methods
  • Alternating direction methods
  • General variational inequality problems
  • General mixed variational inequality problems
  • Nonlinear complementarity problems

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/aor/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable:

Advances in Operations Research
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