Abstract and Applied Analysis

Variational Analysis, Optimization, and Fixed Point Theory


Publishing date
24 May 2013
Status
Published
Submission deadline
04 Jan 2013

1Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India

2Department of Mathematical Sciences, the University of Texas at El Paso, El Paso, TX 79968, USA

3Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

4Center of General Education, Kaohsiung Medical University, Kaohsiung 807, Taiwan


Variational Analysis, Optimization, and Fixed Point Theory

Description

In the last two decades, the theory of variational analysis including variational inequalities (VI) emerged as a rapidly growing area of research because of its applications in nonlinear analysis, optimization, economics, game theory, and so forth. In the recent past, many authors devoted their attention to study the VI defined on the set of fixed points of a mapping, called hierarchical variational inequalities. Very recently, several iterative methods have been investigated to solve VI, hierarchical variational inequalities, and triple hierarchical variational inequalities. In the recent past, Ekeland's type variational principle has been studied in the setting of nonconvex metric spaces. It also has been generalized for bifunctions and set-valued mappings.

This special issue aims to promote the exchange of ideas between researchers and to spread new trends in these areas. It will focus on all aspects of variational analysis, variational inequalities, optimization, fixed point theory, and their applications in different areas of science, engineering, and social sciences. Potential topics include, but are not limited to:

  • Variational analysis
  • Optimization
  • Variational inequalities
  • Hierarchical variational inequalities
  • Ekeland's variational principle
  • Fixed point theory
  • Iterative methods for variational inequalities and fixed point problems
  • Applications of variational inequalities to optimization theory

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/vaof/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 406026
  • - Research Article

Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces

Erdal Karapınar | Antonio Roldán | ... | Concepcion Roldán
  • Special Issue
  • - Volume 2013
  • - Article ID 893045
  • - Research Article

A Non-NP-Complete Algorithm for a Quasi-Fixed Polynomial Problem

Yi-Chou Chen | Hang-Chin Lai
  • Special Issue
  • - Volume 2013
  • - Article ID 604369
  • - Research Article

Approximation for the Hierarchical Constrained Variational Inequalities over the Fixed Points of Nonexpansive Semigroups

Li-Jun Zhu
  • Special Issue
  • - Volume 2013
  • - Article ID 502839
  • - Research Article

Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces

N. I. Mahmudov
  • Special Issue
  • - Volume 2013
  • - Article ID 378750
  • - Research Article

The Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems

Lu-Chuan Ceng | Himanshu Gupta | Ching-Feng Wen
  • Special Issue
  • - Volume 2013
  • - Article ID 432402
  • - Research Article

A New Fixed Point Theorem and Applications

Min Fang | Xie Ping Ding
  • Special Issue
  • - Volume 2013
  • - Article ID 496217
  • - Research Article

Neural Network Dynamics without Minimizing Energy

Mau-Hsiang Shih | Feng-Sheng Tsai
  • Special Issue
  • - Volume 2013
  • - Article ID 323126
  • - Research Article

Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices

Jinlu Li | Ching-Feng Wen
  • Special Issue
  • - Volume 2013
  • - Article ID 312479
  • - Research Article

Berinde-Type Generalized Contractions on Partial Metric Spaces

Hassen Aydi | Sana Hadj Amor | Erdal Karapınar
  • Special Issue
  • - Volume 2013
  • - Article ID 805104
  • - Research Article

General Split Feasibility Problems in Hilbert Spaces

Mohammad Eslamian | Abdul Latif
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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