FIXED POINT THEOREMS FOR DIGITAL IMAGES

DOI10.5831/HMJ.2015.37.4.595zbMath1337.55001MaRDI QIDQ2788854

Sang-Eon Han

Publication date: 22 February 2016

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

fixed point propertyBrouwer fixed point theoremBanach fixed point theoremdigital topologyLefschetz fixed point theoremdigital imagedigital continuitydigital homotopy invariantdigital wedgeNielsen fixed point theorem

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Graph theory (including graph drawing) in computer science (68R10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Fixed points and coincidences in algebraic topology (55M20) Other homology theories in algebraic topology (55N35) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items (10)

The product property of the almost fixed point property for digital spaces ⋮ The fixed point property of an \(M\)-retract and its applications ⋮ DIGITAL HOMOLOGY GROUPS OF DIGITAL WEDGE SUMS ⋮ Fixed point property for digital spaces ⋮ Almost fixed point property for digital spaces associated with Marcus-Wyse topological spaces ⋮ Coincidence and self-coincidence of maps between digital images ⋮ Estimation of the complexity of a digital image from the viewpoint of fixed point theory ⋮ Digital Space-Type Fixed Point Theory and Its Applications ⋮ Contractibility and fixed point property: the case of Khalimsky topological spaces ⋮ The fixed point property of the smallest open neighborhood of the n-dimensional Khalimsky topological space

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