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

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).

arXiv commentarXiv admin note: text overlap with arXiv:1602.04014