Abstract and Applied Analysis

Variational Analysis, Optimization, and Fixed Point Theory 2014


Publishing date
29 Aug 2014
Status
Published
Submission deadline
16 May 2014

1Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, Taiwan

2Department of Mathematics, Zhejiang University, China

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

4Babes-Bolyai University Cluj-Napoca, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania


Variational Analysis, Optimization, and Fixed Point Theory 2014

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 has also 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/vaof14/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 152530
  • - Research Article

On Mann’s Method with Viscosity for Nonexpansive and Nonspreading Mappings in Hilbert Spaces

Nawab Hussain | Giuseppe Marino | Afrah A. N. Abdou
  • Special Issue
  • - Volume 2014
  • - Article ID 735673
  • - Research Article

Strong Convergence for Hybrid Implicit S-Iteration Scheme of Nonexpansive and Strongly Pseudocontractive Mappings

Shin Min Kang | Arif Rafiq | ... | Young Chel Kwun
  • Special Issue
  • - Volume 2014
  • - Article ID 490450
  • - Research Article

Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces

Ing-Jer Lin | Chi-Ming Chen | Erdal Karapınar
  • Special Issue
  • - Volume 2014
  • - Article ID 187031
  • - Research Article

Fixed Point Theorems for a Class of α-Admissible Contractions and Applications to Boundary Value Problem

Hamed H. Alsulami | Selma Gülyaz | ... | İncı M. Erhan
  • Special Issue
  • - Volume 2014
  • - Article ID 767109
  • - Research Article

Hybrid Iterative Scheme for Triple Hierarchical Variational Inequalities with Mixed Equilibrium, Variational Inclusion, and Minimization Constraints

Lu-Chuan Ceng | Cheng-Wen Liao | ... | Ching-Feng Wen
  • Special Issue
  • - Volume 2014
  • - Article ID 596582
  • - Research Article

Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces

J. J. Wang | W. Song
  • Special Issue
  • - Volume 2014
  • - Article ID 325840
  • - Research Article

Two New Types of Fixed Point Theorems in Complete Metric Spaces

Farshid Khojasteh | Mujahid Abbas | Simona Costache
  • Special Issue
  • - Volume 2014
  • - Article ID 436415
  • - Research Article

A QP-Free Algorithm for Finite Minimax Problems

Daolan Han | Jinbao Jian | Qinfeng Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 603542
  • - Research Article

The Vector-Valued Functions Associated with Circular Cones

Jinchuan Zhou | Jein-Shan Chen
  • Special Issue
  • - Volume 2014
  • - Article ID 948392
  • - Research Article

A Total Variation Model Based on the Strictly Convex Modification for Image Denoising

Boying Wu | Elisha Achieng Ogada | ... | Zhichang Guo
Abstract and Applied Analysis
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
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