English

Fixed points of enriched contraction mappings in 2-normed spaces

Classical Analysis and ODEs 2022-09-27 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2209.12503,
  title  = {Fixed points of enriched contraction mappings in 2-normed spaces},
  author = {Rizwan Anjum and Mujahid Abbas},
  journal= {arXiv preprint arXiv:2209.12503},
  year   = {2022}
}

Comments

Accepted