Abstract and Applied Analysis

Function Spaces, Compact Operators, and Their Applications


Publishing date
28 Mar 2014
Status
Published
Submission deadline
08 Nov 2013

1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India

3Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Selangor, Malaysia


Function Spaces, Compact Operators, and Their Applications

Description

The aim of this special issue is to focus on the latest developments and achievements of the theory of compact operators on function spaces and their applications in differential, functional, and integral equations. The concept of the compactness plays a fundamental role in creating the basis of several investigations conducted in nonlinear analysis and is one of the most useful in several topics of applied mathematics, engineering, mathematical physics, numerical analysis, and so on. The compactness is very often used in fixed point theory and its applications to the theories of functional, differential, and integral equations of various types. On the other hand, the sequence spaces offer relevant tools for illustrating abstract results and properties in functional analysis.

We invite authors to submit original research and review articles that will stimulate the continuing efforts to understand the theory of function spaces, compact operators, and their applications. We are particularly interested in articles describing the new methods and insights with some applications on the topics which are directly or indirectly related to function spaces, sequence spaces, operator theory, and approximation theory and applications. Potential topics include, but are not limited to:

  • Function spaces and compact operators on them
  • Sequence spaces, their topological and geometric properties, and spectra of operators over some sequence spaces
  • Compact matrix operators between some sequence spaces
  • Statistical and almost convergence methods and their applications in approximation theory, special functions, and differential equations
  • Existence theorems for differential equations by using compactness conditions
  • Compactness conditions in fixed point theory
  • Applications to the theories of functional, differential, and integral equations of various types

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/fusp/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 342194
  • - Editorial

Function Spaces, Compact Operators, and Their Applications

S. A. Mohiuddine | M. Mursaleen | ... | Abdullah Alotaibi
  • Special Issue
  • - Volume 2014
  • - Article ID 685794
  • - Research Article

On Analog of Fourier Transform in Interior of the Light Cone

Tatyana Shtepina
  • Special Issue
  • - Volume 2014
  • - Article ID 184071
  • - Research Article

Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Class of Banach Spaces

Mirna Džamonja
  • Special Issue
  • - Volume 2014
  • - Article ID 397376
  • - Research Article

Multipliers of Modules of Continuous Vector-Valued Functions

Liaqat Ali Khan | Saud M. Alsulami
  • Special Issue
  • - Volume 2014
  • - Article ID 174010
  • - Research Article

Lipschitz Spaces and Fractional Integral Operators Associated with Nonhomogeneous Metric Measure Spaces

Jiang Zhou | Dinghuai Wang
  • Special Issue
  • - Volume 2014
  • - Article ID 236124
  • - Research Article

Certain Spaces of Functions over the Field of Non-Newtonian Complex Numbers

Ahmet Faruk Çakmak | Feyzi Başar
  • Special Issue
  • - Volume 2014
  • - Article ID 524761
  • - Research Article

A -Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay

Dumitru Baleanu | Sayyedeh Zahra Nazemi | Shahram Rezapour
  • Special Issue
  • - Volume 2014
  • - Article ID 798080
  • - Research Article

Integral Equation-Wavelet Collocation Method for Geometric Transformation and Application to Image Processing

Lina Yang | Yuan Yan Tang | ... | Lu Sun
  • Special Issue
  • - Volume 2014
  • - Article ID 858704
  • - Research Article

On the Paranormed Nörlund Sequence Space of Nonabsolute Type

Medine Yeşilkayagil | Feyzi Başar
  • Special Issue
  • - Volume 2014
  • - Article ID 238036
  • - Research Article

On Positive Solutions of a Fourth Order Nonlinear Neutral Delay Difference Equation

Zeqing Liu | Xiaoping Zhang | ... | Young Chel Kwun
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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