English

An effective metric on C(H,K) with normal structure

Functional Analysis 2016-02-15 v1

Abstract

This study first defines a new metric with normal structure on C(H,K) and then a new technique to prove fixed point theorems for families of non-expansive maps on this metric space. Indeed, it shows that the presence of a bounded orbit implies the existence of a fixed point for a group of h-biholomorphic automorphisms on C(H,K).

Keywords

Cite

@article{arxiv.1602.04015,
  title  = {An effective metric on C(H,K) with normal structure},
  author = {Mona Nabiei},
  journal= {arXiv preprint arXiv:1602.04015},
  year   = {2016}
}

Comments

arXiv admin note: text overlap with arXiv:1602.04014

R2 v1 2026-06-22T12:48:56.203Z