ON A FIXED POINT RESULT FOR φ-CONTRACTIONS IN b-METRIC SPACES

Authors

  • Mohamed Akkouchi Department of Mathematics, Faculy of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, BP: 2390, Marrakesh (40.000-Marrakech), Morocco (Maroc).

Keywords:

Complete b-metric spaces, Bakhtin’s result, Czerwik’s result, comparison functions, $\varphi$-contractions, metrization, fixed points

Abstract

In this paper, we provide a new proof to a fixed point result for φ-contractions on b-metric spaces published by S. Czerwik in his paper: [Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostrav. 1 (1993), 5-11]. We point out that our proof is completely different from the one given recently by S. Kajanto and A. Lukacs in [A note on the paper “Contraction mappings in b-metric spaces” by Czerwik, Acta Univ. Sapientiae, Mathematica, 10, 1 (2018), 85-89].

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Published

2020-12-31

How to Cite

Akkouchi, M. (2020). ON A FIXED POINT RESULT FOR φ-CONTRACTIONS IN b-METRIC SPACES. Bangmod International Journal of Mathematical and Computational Science, 6, 1–8. Retrieved from https://bangmodjmcs.com/index.php/bangmodmcs/article/view/34

Issue

Vol. 6 (2020): January-December

Section

Research Article

License

Copyright (c) 2020 Bangmod International Journal of Mathematical and Computational Science

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