Application of Banach contraction principle to approximate the golden number | Zendy

Eugeniusz Barcz | Zendy

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Application of Banach contraction principle to approximate the golden number

Author(s) -

Eugeniusz Barcz

Publication year - 2020

Publication title -

annales universitatis 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.

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