Periodic and Fixed Points, and Commuting Mappings

DOI10.2307/2043015zbMath0416.54025OpenAlexW4240671588MaRDI QIDQ3205942

Gerald F. Jungck

Publication date: 1979

Full work available at URL: https://doi.org/10.2307/2043015

zbMATH Keywords

fixed pointsperiodic pointscompact metric spacelocally contractive mapsopen and generalized locally expansive maps

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Compact (locally compact) metric spaces (54E45)

Related Items (5)

A Common Fixed Point Theorem for Commuting Mappings ⋮ Counting Fixed Points ⋮ Random fixed point theorems for commuting random operators in probabilistic functional analysis ⋮ A comparison of various noncommuting conditions in metric fixed point theory and their applications ⋮ Common Fixed Points for Commuting and Compatible Maps on Compacta

Cites Work

• Commuting Mappings and Fixed Points
• Properties of Continuous Expansions
• Local expansions, derivatives, and fixed points
• Evidence of a Conspiracy Among Fixed Point Theorems
• Some Theorems on Contractive Mappings
• Periodic Maps Via Equicontinuity
• On Fixed and Periodic Points Under Certain Sets of Mappings

This page was built for publication: Periodic and Fixed Points, and Commuting Mappings