Fixed points of dynamic processes of set-valued F -contractions and application to functional equations

Fixexd point theory and applications

Dariusz Wardowski¹  Dorota Klim⁴ 

[1] ó, Ł, Poland;Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science, University of Łdź

关键词: set-valued F-contraction;    dynamic process;    fixed point;    functional equation;    47H09;    47H10;    46N10;    54E50;   

DOI  :  10.1186/s13663-015-0272-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY