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 823070
  • - Editorial

Variational Analysis, Optimization, and Fixed Point Theory

Qamrul Hasan Ansari | Mohamed Amine Khamsi | ... | Jen-Chih Yao
  • Special Issue
  • - Volume 2013
  • - Article ID 503198
  • - Research Article

Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces

Zhi-bin Liu | Yi-shen Chen | ... | Yi-bin Xiao
  • Special Issue
  • - Volume 2013
  • - Article ID 904164
  • - Research Article

Existence and Approximation of Attractive Points of the Widely More Generalized Hybrid Mappings in Hilbert Spaces

Sy-Ming Guu | Wataru Takahashi
  • Special Issue
  • - Volume 2013
  • - Article ID 812125
  • - Research Article

Paratingent Derivative Applied to the Measure of the Sensitivity in Multiobjective Differential Programming

F. García | M. A. Melguizo Padial
  • Special Issue
  • - Volume 2013
  • - Article ID 968492
  • - Research Article

Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self-Mappings with a Partial Order

M. De la Sen
  • Special Issue
  • - Volume 2013
  • - Article ID 202095
  • - Research Article

Strong Convergence Theorems for Semigroups of Asymptotically Nonexpansive Mappings in Banach Spaces

D. R. Sahu | Ngai-Ching Wong | Jen-Chih Yao
  • Special Issue
  • - Volume 2013
  • - Article ID 718624
  • - Research Article

Multistep Hybrid Extragradient Method for Triple Hierarchical Variational Inequalities

Zhao-Rong Kong | Lu-Chuan Ceng | ... | Chin-Tzong Pang
  • Special Issue
  • - Volume 2013
  • - Article ID 854297
  • - Research Article

Implicit Relaxed and Hybrid Methods with Regularization for Minimization Problems and Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense

Lu-Chuan Ceng | Qamrul Hasan Ansari | Ching-Feng Wen
  • Special Issue
  • - Volume 2013
  • - Article ID 264910
  • - Research Article

Implicit Iterative Scheme for a Countable Family of Nonexpansive Mappings in 2-Uniformly Smooth Banach Spaces

Ming Tian | Xin Jin
  • Special Issue
  • - Volume 2013
  • - Article ID 704160
  • - Research Article

Existence of Solutions for a Periodic Boundary Value Problem via Generalized Weakly Contractions

Sirous Moradi | Erdal Karapınar | Hassen Aydi
Abstract and Applied Analysis
 Journal metrics
Acceptance rate13%
Submission to final decision51 days
Acceptance to publication84 days
CiteScore0.580
Impact Factor-
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