Digital homotopy fixed point theory

DOI10.1016/j.crma.2015.07.006OpenAlexW2190561739MaRDI QIDQ5965058

Ozgur Ege, Ismet Karaca

Publication date: 2 March 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.07.006

zbMATH Keywords

fixed pointdigital homotopy

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (9)

Remarks on fixed point assertions in digital topology, 5 ⋮ A new type of \(F\)-contraction and their best proximity point results with homotopy application ⋮ Remarks on Fixed Point Assertions in Digital Topology, 3 ⋮ Near-rings on digital Hopf groups ⋮ Remarks on fixed point assertions in digital topology, 6 ⋮ Fixed point property for digital spaces ⋮ Remarks on Fixed Point Assertions in Digital Topology, 4 ⋮ Algebraic invariants in abstract cellular complex ⋮ Remarks on Fixed Point Assertions in Digital Topology

Cites Work

• Lefschetz fixed point theorem for digital images
• Digital products, wedges, and covering spaces
• A classical construction for the digital fundamental group
• Applications of the Lefschetz number to digital images
• Fundamental groups of unbounded digital images
• Non-product property of the digital fundamental group
• Homotopy properties of sphere-like digital images
• Properties of digital homotopy
• Digitally continuous functions
• Banach fixed point theorem for digital images

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