A New Proof and Consequences of the Fixed Point Theorem of Matkowski

Barcz, Eugeniusz

doi:10.2478/amsil-2021-0005

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A New Proof and Consequences of the Fixed Point Theorem of Matkowski

Annales Mathematicae Silesianae

Volume 35 (2021): Issue 2 (September 2021)

By: Eugeniusz Barcz

Open Access

|May 2021

Abstract

In this work it was proved Matkowski’s fixed point theorem. The consequences of this theorem are also presented.

References

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[2] E. Barcz, On the golden number and Fibonacci type sequences, Ann. Univ. Paedag. Crac., Stud. Didac. Math. Pertin. 11 2019, 25–35.10.24917/20809751.11.2
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[3] E. Barcz, Application of Banach Contraction Principle to approximate the golden number, Ann. Univ. Paedag. Crac., Stud. Didac. Math. Pertin. To appear.
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[4] J. Dugundji and A. Granas, Fixed Point Theory, Monografie Matematyczne, 61, PWN, Warszawa, 1982.
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[6] J. Jachymski and I. Józwik, Nonlinear contractive conditions: A comparison and related problems, in: J. Jachymski and S. Reich (eds.), Fixed Point Theory and its Applications, Banach Center Publ., 77, 2007, Polish Acad. Sci. Inst. Math., Warsaw, 2007, pp. 123–146.10.4064/bc77-0-10
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[7] J. Matkowski, Integrable solutions of functional equations, Dissertationes Math. (Rozprawy Mat.) 127 1975, 68 pp.
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DOI: https://doi.org/10.2478/amsil-2021-0005 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 149 - 157

Submitted on: Nov 14, 2020

Accepted on: Apr 7, 2021

Published on: May 26, 2021

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

fixed point theorem of Matkowski,

Banach Contraction Principle,

Related subjects:

© 2021 Eugeniusz Barcz, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

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