Zeros of functionals and a parametric version of Michael selection theorem

DOI10.1134/S1995080222060099zbMath1500.54005OpenAlexW4285610312WikidataQ113782071 ScholiaQ113782071MaRDI QIDQ2172877

Tatiana N. Fomenko

Publication date: 19 September 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222060099

zbMATH Keywords

continuous selectionset-valued mapmultivalued mapMichael selection theoremsearch functional

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Equations involving nonlinear operators (general) (47J05) Set-valued operators (47H04) Selections in general topology (54C65) Set-valued and function-space-valued mappings on manifolds (58C06)

Cites Work

• Approximation of coincidence points and common fixed points of a collection of mappings of metric spaces
• Cascade search of the coincidence set of collections of multivalued mappings
• Continuous selections. I
• Cascade search for preimages and coincidences: global and local versions
• Preservation of the existence of zeros in a family of set-valued functionals and some consequences
• Cascade search principle and its applications to the coincidence problems of \(n\) one-valued or multi-valued mappings
• Continuous approximations of multivalued mappings and fixed points
• Continuous Selections and Approximate Selection for Set-Valued Mappings and Applications to Metric Projections
• Michael's theory of continuous selections. Development and applications
• A note on a continuous approximate selection theorem

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