The article is a continuation of the investigations concerning F-contractions which have been recently introduced in [Wardowski in Fixed Point Theory Appl. 2012:94,2012]. The authors extend the concept of F-contractive mappings to the case of nonlinear F-contractions and prove a fixed point theorem via the dynamic processes. The paper includes a non-trivial example which shows the motivation for such investigations. The work is summarized by the application of the introduced nonlinear F-contractions to functional equations.
CITATION STYLE
Klim, D., & Wardowski, D. (2015). Fixed points of dynamic processes of set-valued F-contractions and application to functional equations. Fixed Point Theory and Applications, 2015(1). https://doi.org/10.1186/s13663-015-0272-y
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