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

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

By: Eugeniusz Barcz  
Open Access
|May 2021

References

  1. [1] E. Barcz, Some fixed points theorems for multi-valued mappings, Demonstratio Math. 16 1983, no. 3, 735–744.10.1515/dema-1983-0316
  2. [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
  3. [3] E. Barcz, Application of Banach Contraction Principle to approximate the golden number, Ann. Univ. Paedag. Crac., Stud. Didac. Math. Pertin. To appear.
  4. [4] J. Dugundji and A. Granas, Fixed Point Theory, Monografie Matematyczne, 61, PWN, Warszawa, 1982.
  5. [5] K. Goebel, Twierdzenia o punktach stałych, UMCS, Lublin, 2005.
  6. [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
  7. [7] J. Matkowski, Integrable solutions of functional equations, Dissertationes Math. (Rozprawy Mat.) 127 1975, 68 pp.
DOI: https://doi.org/10.2478/amsil-2021-0005 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
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

© 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.