Mapping and fixed point property theorems for inverse limits with set-valued bonding functions

2021/12/13 by Iztok Banič, Banic, Iztok, Goran Erceg +3
Engineering · Mathematics · #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Equations Stability Results #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2112.06834

openalex publication_date 2021/12/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Among other results, the paper gives new mapping theorems and new fixed point property theorems for inverse limits of inverse sequences of compact metric spaces with upper semicontinuous set-valued bonding functions. We also revisit the results from two papers, Mioduszewski's ''Mappings of inverse limits'' and Feuerbacher's ''Mappings of inverse limits revisited''.

Related

• Connected Generalized Inverse Limits and Intermediate Value Property
• Generalized Inverse Limits Indexed by Totally Ordered Sets
• An Inverse System of Nonempty Objects with Empty Limit
• Periodicity and Indecomposability in Generalized Inverse Limits
• Markov pairs, quasi Markov functions and inverse limits