On Essential Fixed Points of Compact Mappings on Arbitrary Absolute Neighborhood Retracts and Their Application to Multivalued Fractals

DOI10.1142/S0218127416500413zbMath1336.37018OpenAlexW2321501128WikidataQ114723404 ScholiaQ114723404MaRDI QIDQ2806165

Jan Andres, Lech Gorniewicz

Publication date: 17 May 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127416500413

zbMATH Keywords

Lefschetz numbercompact mapsabsolute neighborhood retractsessential fixed pointsessential multivalued fractalszero topological dimension

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dimension theory of smooth dynamical systems (37C45) Dynamical systems over complex numbers (37F99)

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Recent results on the topological fixed point theory of multivalued mappings: a survey ⋮ Limit-periodic solutions of difference and differential systems without global lipschitzianity restrictions ⋮ Multiple anti-periodic solutions of implicit differential inclusions on tori ⋮ Existence, localization and stability of limit-periodic solutions to differential equations involving cubic nonlinearities ⋮ Note on essential fixed points of approximable multivalued mappings

Cites Work

• Multivalued fractals
• Calculation of Lefschetz and Nielsen numbers in hyperspaces for fractals and dynamical systems
• Lectures on Nielsen fixed point theory
• METRIC AND TOPOLOGICAL MULTIVALUED FRACTALS
• Note on Nonejective Topological Fractals on Peano's Continua
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