Fixed point theorem for composite functions

• Main Author: şükrü İLGÜN
• Format: Article
• Language: English
• Published: BİSKA Bilisim Company 2019-01-01
• Series: New Trends in Mathematical Sciences
• Subjects: Composite function; plane geometry; fixed point.
• Online Access: https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8502

This study is about the part of the composition of functions obtainet from the series itertions. In this study, we tried to Show what can be said about the fixed point of compositions on every step of the way by using lines and counterparts on the plane geometry when, as series, the compositions of a function which has a fixed point are calculated. Also, we showed the relation between the x-intercepts of series composition of an F(x) function and the fixed point of the composition. Before everything else, with this study, the writer’s aim is to stop being an abstract concept of the fixed point theory thanks to the concepts of the plane geometry and so to take interest of the readers to its visiual side.