English

The fixed point property for $(c)$-mappings and unbounded sets

Functional Analysis 2025-11-04 v3

Abstract

We prove that a closed convex subset CC of a real Hilbert space XX has the fixed point property for (c)(c)-mappings if and only if CC is bounded. Some convergence results about the iterations are obtained.

Keywords

Cite

@article{arxiv.2010.08647,
  title  = {The fixed point property for $(c)$-mappings and unbounded sets},
  author = {Sami Atailia and Abdelkader Dehici and Najeh Redjel},
  journal= {arXiv preprint arXiv:2010.08647},
  year   = {2025}
}

Comments

10 pages

R2 v1 2026-06-23T19:24:54.279Z