Journal of Function Spaces

Ulam’s Type Stability and Fixed Points Methods


Publishing date
20 Jun 2014
Status
Published
Submission deadline
31 Jan 2014

Lead Editor

1Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

2Department of Mathematics, Politehnica University of Timişoara, Piata Victoriei No. 2, Judeţul Timiş, 300006 Timişoara, Romania

3Faculty of Management, University of Primorska, Cankarjeva 5, 6104 Koper, Slovenia

4Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China


Ulam’s Type Stability and Fixed Points Methods

Description

A problem posed by S.M. Ulam in 1940 has stimulated a long lasting interest in a particular stability of various types of equations and inequalities (difference, differential, functional, and integral). That issue is called sometimes Ulam’s type stability and is understood as follows: under what conditions a function, satisfying an equation approximately, is near a solution to that equation.

The first solution to the Ulam problem was obtained through a classical approach known from the fixed point theory: by iteration of a simple operator. Later it has been shown that some fixed point theorems can be directly applied in investigations of Ulam’s type stability. Moreover, there is a converse relation; namely some stability results yield the fixed point outcomes for function spaces.

This special issue is focused on the relations between the fixed point theory, Ulam’s type stability and related subjects. Articles containing applications to the real-world situations are particularly welcome.

The authors are invited to submit original research papers as well as review articles that will stimulate the continuing efforts in investigations of that issue, its applications, and related problems. Potential topics include, but are not limited to:

  • Relations between Ulam’s type stability and fixed point results
  • Fixed point and approximate fixed point theorems motivated or stimulated by Ulam’s type stability
  • Relations between fixed points and approximate fixed points
  • Algorithms for computing fixed points and approximate fixed points
  • Various methods for proving Ulam’s type stability results
  • Various types of stability (in the sense of Aoki, Bourgin, Găvruţa, Ger, Rassias, etc.) for equations and inequalities
  • Hyperstability, superstability, asymptotic stability, stability on restricted domains and in various spaces
  • Applications and related problems

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/jfs/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/jfs/ulam/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 465861
  • - Editorial

Ulam’s Type Stability and Fixed Points Methods

Janusz Brzdęk | Liviu Cădariu | ... | Bing Xu
  • Special Issue
  • - Volume 2014
  • - Article ID 853743
  • - Research Article

Stability for the Mixed Type of Quartic and Quadratic Functional Equations

Young-Su Lee | Soomin Kim | Chaewon Kim
  • Special Issue
  • - Volume 2014
  • - Article ID 829419
  • - Review Article

Fixed Point Theory and the Ulam Stability

Janusz Brzdęk | Liviu Cădariu | Krzysztof Ciepliński
  • Special Issue
  • - Volume 2014
  • - Article ID 579454
  • - Research Article

On Convergence of Fixed Points in G-Complete Fuzzy Metric Spaces

Dong Qiu | Shuai Deng
  • Special Issue
  • - Volume 2014
  • - Article ID 398673
  • - Research Article

Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions

Chun Wang | Tian-Zhou Xu
  • Special Issue
  • - Volume 2014
  • - Article ID 754291
  • - Research Article

Approximate Homomorphisms and Derivations on Normed Lie Triple Systems

Hark-Mahn Kim | Juri Lee
  • Special Issue
  • - Volume 2014
  • - Article ID 619710
  • - Research Article

Stability of Exponential Functional Equations with Involutions

Jaeyoung Chung | Soon-Yeong Chung
  • Special Issue
  • - Volume 2014
  • - Article ID 349281
  • - Research Article

On the Stability of Cubic and Quadratic Mapping in Random Normed Spaces under Arbitrary -Norms

J. Vahidi | S. J. Lee | ... | R. Ahmadi
  • Special Issue
  • - Volume 2014
  • - Article ID 153610
  • - Research Article

Stability of Pexider Equations on Semigroup with No Neutral Element

Jaeyoung Chung
  • Special Issue
  • - Volume 2014
  • - Article ID 919646
  • - Research Article

Stability for Functional Equation of Mixed Type in Non-Archimedean Normed Spaces

Ick-Soon Chang | Yang-Hi Lee
Journal of Function Spaces
 Journal metrics
Acceptance rate28%
Submission to final decision43 days
Acceptance to publication37 days
CiteScore2.000
Impact Factor1.896
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