Fixed and periodic points of generalized contractions in metric spaces
By Mujahid Abbas, Basit Ali, Salvador Romaguera. 2013
83 citations recorded by the source corpus.
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.MSC:47H10, 47H07, 54H25.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/d3ab51431ef93570924ee3d917ddf19f0dc4a353
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In Geometry and Topology
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Citations in the corpus
- On Suzuki-Wardowski type fixed point theorems (2015, methodology): “[1] further generalized the concept of F -contraction and proved certain fixed and common fixed point results.”
- A survey: F-contractions with related fixed point results (2020, background): “The main contribution of the work of Abbas, Basit, Romaguera [3] is considering the common fixed point of two mappings in the setting of metric space endowed with a partial order.”
- SUZUKI-WARDOWSKI TYPE FIXED POINT THEOREMS FOR $\alpha$-GF-CONTRACTIONS (2014, background): “This result has been extended in many directions (see [1-18]).”