Fixed and periodic points of generalized contractions in metric spaces
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Date
Authors
Abbas, Mujahid
Ali, Basit
Romaguera, Salvador
Journal Title
Journal ISSN
Volume Title
Publisher
SpringerOpen
Abstract
Wardowski (Fixed Point Theory Appl. 2012:94, 2012, doi:10.1186/1687-1812-2012-94)
introduced a new type of contraction called F-contraction and proved a fixed point
result in complete metric spaces, which in turn generalizes the Banach contraction
principle. The aim of this paper is to introduce F-contractions with respect to a
self-mapping on a metric space and to obtain common fixed point results. Examples
are provided to support results and concepts presented herein. As an application of
our results, periodic point results for the F-contractions in metric spaces are proved.
Description
Keywords
F-contraction, Property P, Property Q, Common fixed point
Sustainable Development Goals
Citation
Abbas, M, Ali, B & Romaguera, S 2013, 'Fixed and periodic points of generalized contractions in metric spaces', Fixed Point Theory and Applications, vol. 2013, art. 243, pp. 1-11.