Abstract and Applied Analysis

Some Recent Trends in Variational Inequalities and Optimization Problems with Applications


Publishing date
06 Dec 2013
Status
Published
Submission deadline
19 Jul 2013

1Ibn Zohr University, ENSA, BP 1136, Agadir, Morocco

2Mathematics Department, Prince Sultan University, Riyadh, Saudi Arabia

3School of Mathematics and Physics, Changzhou University, Jiangsu Province, Changzhou 213164, China


Some Recent Trends in Variational Inequalities and Optimization Problems with Applications

Description

Variational inequality has become a rich of inspiration in pure and applied mathematics. In recent years, classical variational inequality problems have been extended and generalized to study a large variety of problems arising in structural analysis, economics, optimization, operations research, and engineering sciences. Using the projection technique, it has been shown that the variational inequalities are equivalent to the fixed point problem. This alternative formulation has played a fundamental and significant part in developing several numerical methods for solving variational inequalities and related optimization problems. Some recent trends in this field will be main focus of this special issue.

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

  • Variational inequality problems
  • System of variational inequality problems
  • General mixed variational inequality problems
  • Nonlinear complementarity problems
  • Hierarchical fixed point problems
  • Mixed equilibrium problems

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/vop/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 215098
  • - Editorial

Some Recent Trends in Variational Inequalities and Optimization Problems with Applications

Abdellah Bnouhachem | Abdelouahed Hamdi | Xu Minghua
  • Special Issue
  • - Volume 2014
  • - Article ID 598563
  • - Research Article

Proximal Alternating Direction Method with Relaxed Proximal Parameters for the Least Squares Covariance Adjustment Problem

Minghua Xu | Yong Zhang | ... | Zhenhua Yang
  • Special Issue
  • - Volume 2013
  • - Article ID 952915
  • - Research Article

A Quasi-Variational Approach for the Dynamic Oligopolistic Market Equilibrium Problem

Annamaria Barbagallo | Paolo Mauro
  • Special Issue
  • - Volume 2013
  • - Article ID 209340
  • - Research Article

A Sharper Global Error Bound for the Generalized Nonlinear Complementarity Problem over a Polyhedral Cone

Hongchun Sun | Yiju Wang
  • Special Issue
  • - Volume 2013
  • - Article ID 624398
  • - Research Article

A Heuristic Algorithm for Constrained Multi-Source Location Problem with Closest Distance under Gauge: The Variational Inequality Approach

Jian-Lin Jiang | Saeed Assani | ... | Xiao-Xing Zhu
  • Special Issue
  • - Volume 2013
  • - Article ID 183961
  • - Research Article

On the Convergence Analysis of the Alternating Direction Method of Multipliers with Three Blocks

Caihua Chen | Yuan Shen | Yanfei You
  • Special Issue
  • - Volume 2013
  • - Article ID 515902
  • - Research Article

The Strong Convergence of Prediction-Correction and Relaxed Hybrid Steepest-Descent Method for Variational Inequalities

Haiwen Xu
  • Special Issue
  • - Volume 2013
  • - Article ID 941861
  • - Research Article

A New Implementable Prediction-Correction Method for Monotone Variational Inequalities with Separable Structure

Feng Ma | Mingfang Ni | Zhanke Yu
  • Special Issue
  • - Volume 2013
  • - Article ID 680768
  • - Research Article

Convergence Analysis of Alternating Direction Method of Multipliers for a Class of Separable Convex Programming

Zehui Jia | Ke Guo | Xingju Cai
  • Special Issue
  • - Volume 2013
  • - Article ID 492305
  • - Research Article

A General Self-Adaptive Relaxed-PPA Method for Convex Programming with Linear Constraints

Xiaoling Fu
Abstract and Applied Analysis
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Acceptance rate7%
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