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Mathematics > General Mathematics

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

Abstract: We obtain results on the existence and approximation of fixed points of enriched contractions in quasi-Banach spaces and thus extend the results obtained in the case of contractions defined on Banach spaces [Berinde, V.; P\u{a}curar, M. Approximating fixed points of enriched contractions in Banach spaces. J. Fixed Point Theory Appl. 22 (2020), no. 2, Paper No. 38, 10 pp.]. We illustrate the obtained theoretical results by providing an example of an enriched contraction in a quasi-Banach space which is not a Banach space to show that our new results are effective generalizations of the previous ones in literature.
Comments: arXiv admin note: text overlap with arXiv:1909.02382
Subjects: General Mathematics (math.GM)
MSC classes: 47J27, 47H10, 47H09, 65K15
Cite as: arXiv:2404.05754 [math.GM]
  (or arXiv:2404.05754v1 [math.GM] for this version)

Submission history

From: Vasile Berinde [view email]
[v1] Fri, 5 Apr 2024 08:38:28 GMT (14kb)

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