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

2016/02/12 by Mona Nabiei, Nabiei, Mona
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Dynamics and Fractals #math.FA

paper · pdf · doi:10.48550/arxiv.1602.04015

arXiv admin note: text overlap with arXiv:1602.04014

arxiv created 2016/02/12 · openalex publication_date 2016/02/12 · arxiv updated 2016/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

Citations

• Complex symmetric operator acting between two different Hilbert spaces

Related

• Normal Structure and Contractions which diminish Radius in Metric and Banach Spaces
• A metric fixed point theorem and some of its applications
• Fixed point free homeomorphisms of the complex plane
• A fixed point theorem in B(H,ℓ _∞ )
• Orbital Lipschitzian mappings and semigroup actions on metric spaces