carpathian_2024_40_2_263_274_001

Existence and approximation of fixed points of enriched contractions in quasi-Banach spaces


Berinde, Vasile


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carpathian_2024_40_2_263_274

We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces and thus extend the previous results for enriched contractions defined on Banach spaces [Berinde, V.; Păcurar, M. Approximating fixed points of enriched contractions in Banach spaces. J. Fixed Point Theory Appl. 22 (2020), no. 2, Paper No. 38, 10 pp.]. The theoretical results are illustrated by means of an appropriate example of enriched contraction on a quasi-Banach space which is not a Banach space and thus show that our new results are effective generalizations of the previous ones in literature.

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Author(s)

Berinde, Vasile

DOI

https://doi.org/10.37193/CJM.2024.02.03