English

Normal Structure and Contractions which diminish Radius in Metric and Banach Spaces

Functional Analysis 2021-07-01 v1

Abstract

In this paper, by using admissible sets, we give some fixed point results for orbitally contractions which diminish the radius of invariant convex subsets and orbits. Furthermore, a characterization of the weak normal structure by the fixed point property associated with this class of mappings is established.

Keywords

Cite

@article{arxiv.2106.16098,
  title  = {Normal Structure and Contractions which diminish Radius in Metric and Banach Spaces},
  author = {Abdelkader Dehici and Najeh Redjel and Sami Atailia},
  journal= {arXiv preprint arXiv:2106.16098},
  year   = {2021}
}