Journal of Function Spaces

Ulam’s Type Stability and Fixed Points Methods 2016


Publishing date
26 Aug 2016
Status
Published
Submission deadline
08 Apr 2016

Lead Editor

1Pedagogical University, Kraków, Poland

2Politehnica University of Timişoara, Timişoara, Romania

3AGH University of Science and Technology, Kraków, Poland

4University of Primorska, Cankarjeva, Slovenia

5Sichuan University, Chengdu, China


Ulam’s Type Stability and Fixed Points Methods 2016

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 is a function, satisfying an equation approximately, 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, and stability on restricted domains and in various spaces
  • Applications and related problems

Articles

  • Special Issue
  • - Volume 2016
  • - Article ID 1235103
  • - Review Article

Survey on Recent Ulam Stability Results Concerning Derivations

Janusz Brzdęk | Liviu Cădariu | ... | Zbigniew Leśniak
  • Special Issue
  • - Volume 2016
  • - Article ID 7205848
  • - Editorial

Ulam’s Type Stability and Fixed Points Methods 2016

Janusz Brzdęk | Liviu Cădariu | ... | Bing Xu
  • Special Issue
  • - Volume 2016
  • - Article ID 1804206
  • - Research Article

Stability of a Quartic Functional Equation in Restricted Domains

Jaeyoung Chung | Yu-Min Ju
  • Special Issue
  • - Volume 2016
  • - Article ID 5636101
  • - Research Article

On the Stability of Quadratic Functional Equations in -Spaces

Xiuzhong Yang
  • Special Issue
  • - Volume 2016
  • - Article ID 8075381
  • - Research Article

Existence of Generalized Homoclinic Solutions of Lotka-Volterra System under a Small Perturbation

Yuzhen Mi
  • Special Issue
  • - Volume 2016
  • - Article ID 9623597
  • - Research Article

Ulam-Hyers Stability for MKC Mappings via Fixed Point Theory

Anisa Mukhtar Hassan | Erdal Karapınar | Hamed H. Alsulami
  • Special Issue
  • - Volume 2016
  • - Article ID 8746728
  • - Research Article

A Fixed Point Approach to the Stability of an Additive-Quadratic-Cubic-Quartic Type Functional Equation

Yang-Hi Lee | Soon-Mo Jung
  • Special Issue
  • - Volume 2016
  • - Article ID 8164978
  • - Research Article

On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations

Akbar Zada | Shah Faisal | Yongjin Li
  • Special Issue
  • - Volume 2016
  • - Article ID 1907676
  • - Research Article

Some Fixed Point Results for -Type Contractive Mappings

Sumit Chandok | Kenan Tas | Arslan Hojat Ansari
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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