Open AccessApplication of Banach contraction principle to approximate the golden number
Author(s) -
Eugeniusz Barcz
Publication year - 2020
Publication title -
annales universitates paedagogicae cracoviensis. studia ad didacticam mathematicae pertinentia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.102
H-Index - 1
eISSN - 2450-341X
pISSN - 2080-9751
DOI - 10.24917/20809751.12.2
Subject(s) - contraction principle , mathematics , contraction (grammar) , contraction mapping , fixed point theorem , discrete mathematics , medicine
This work is devoted to the application of selected fixed point theorems in the problems of convergence of certain sequences to the golden number. It contains the theorem about the fixed point of so-called ψ-contraction specified on the closed interval and the local version of Banach Contraction Principle as a conclusion. It will also be used to approximate the golden number.