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Fixed points of enriched contraction mappings in 2-normed spaces

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arxiv 2209.12503 v1 pith:2W62WOHM submitted 2022-09-26 math.CA

Rizwan Anjum , Mujahid Abbas This is my paper · ORCID
classification math.CA
keywords fixedspacesbanachberindecurarenrichednormedpoint
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Very recently, Berinde and P\u{a}curar obtained in [V. Berinde and M. P\u{a}curar, Approximating fixed points of enriched contractions in Banach spaces. Journal of Fixed Point Theory and Applications. \textbf{22}(2) (2020), 1--10.] an interesting generalization of the Banach contractive mapping principle in the framework of Banach spaces. The aim of this paper is to prove some fixed point theorems which extend the results of Berinde and P\u{a}curar to the case of 2-normed spaces.

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