The periodic points and the invariant set of an \(\varepsilon\)-contractive map

DOI10.1016/S0893-9659(02)00044-7zbMath1009.37006OpenAlexW2018343132MaRDI QIDQ1861798

Changming Ding, Sam B. jun. Nadler

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(02)00044-7

zbMATH Keywords

invariant setfixed pointcontinuuminverse limitperiodic pointcontraction mappositive orbit\(\varepsilon\)-contractive maplocally contractive map

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Continua theory in dynamics (37B45)

Related Items

On fixed points of locally and pointwise contracting maps, Quasigauge spaces with generalized quasipseudodistances and periodic points of dissipative set-valued dynamic systems, Periodic point, endpoint, and convergence theorems for dissipative set-valued dynamic systems with generalized pseudodistances in cone uniform and uniform spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Fixed and Periodic Points Under Contractive Mappings
• Evidence of a Conspiracy Among Fixed Point Theorems
• Local Contractions in Metric Spaces
• A Converse of Banach's Contraction Theorem
• A Note on an Iterative Test of Edelstein⁽¹⁾
• Fixed sets under homeomorphisms