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Ulam’s Type Stability and Fixed Points Methods

Call for Papers

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:

Manuscript DueFriday, 31 January 2014
First Round of ReviewsFriday, 25 April 2014
Publication DateFriday, 20 June 2014

Lead Guest Editor

  • Janusz Brzdęk, Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland

Guest Editors

  • Liviu Cădariu, Department of Mathematics, Politehnica University of Timişoara, Piata Victoriei No. 2, Judeţul Timiş, 300006 Timişoara, Romania
  • Krzysztof Ciepliński, Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland
  • Ajda Fošner, Faculty of Management, University of Primorska, Cankarjeva 5, 6104 Koper, Slovenia
  • Zbigniew Leśniak, Department of Mathematics, Pedagogical University, Podchorążych 2, 30-084 Kraków, Poland
  • Bing Xu, Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China