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

Mona Nabiei

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arXiv · 1602.04015

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

Mona Nabiei

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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).

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Mona Nabiei. 2016-02-12. An effective metric on C(H,K) with normal structure. https://arxiv.org/abs/1602.04015

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