Abstract and Applied Analysis

Theory and Algorithms of Variational Inequality and Equilibrium Problems, and Their Applications


Publishing date
18 Jul 2014
Status
Published
Submission deadline
28 Feb 2014

Lead Editor

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:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 969303
  • - Editorial

Theory and Algorithms of Variational Inequality and Equilibrium Problems, and Their Applications

Xie-ping Ding | Nan-jing Huang | ... | Qamrul Hasan Ansari
  • Special Issue
  • - Volume 2014
  • - Article ID 363046
  • - Research Article

Continuous-Time Mean-Variance Portfolio Selection under the CEV Process

Hui-qiang Ma
  • Special Issue
  • - Volume 2014
  • - Article ID 350479
  • - Research Article

A Strong Convergence Algorithm for the Two-Operator Split Common Fixed Point Problem in Hilbert Spaces

Chung-Chien Hong | Young-Ye Huang
  • Special Issue
  • - Volume 2014
  • - Article ID 750709
  • - Research Article

Existence and Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems

Kaihong Wang | Wenyan Zhang | Min Fang
  • Special Issue
  • - Volume 2014
  • - Article ID 275607
  • - Research Article

Weak and Strong Convergence Theorems for Finite Families of Asymptotically Quasi-Nonexpansive Mappings in Banach Spaces

Lei Deng | Juan Xiao
  • Special Issue
  • - Volume 2014
  • - Article ID 368098
  • - Research Article

Levitin-Polyak Well-Posedness of an Equilibrium-Like Problem in Banach Spaces

Ru-liang Deng
  • Special Issue
  • - Volume 2014
  • - Article ID 209372
  • - Research Article

Iterative Schemes for Convex Minimization Problems with Constraints

Lu-Chuan Ceng | Cheng-Wen Liao | ... | Ching-Feng Wen
  • Special Issue
  • - Volume 2014
  • - Article ID 589731
  • - Research Article

A Continuous Trust-Region-Type Method for Solving Nonlinear Semidefinite Complementarity Problem

Ying Ji | Tienan Wang | Yijun Li
  • Special Issue
  • - Volume 2014
  • - Article ID 392018
  • - Research Article

Some New Coincidence Theorems in Product GFC-Spaces with Applications

Jianrong Zhao
  • Special Issue
  • - Volume 2014
  • - Article ID 238191
  • - Research Article

Class 𝔄- , General Type Theorems, and Their Applications in Topological Vector Space

Gusheng Tang | Qingbang Zhang
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
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