Functionals strictly subordinate to series and search for solutions of equations

DOI10.1134/S1064562413060306zbMath1302.54077OpenAlexW2314893396MaRDI QIDQ403903

Tatiana N. Fomenko

Publication date: 29 August 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413060306

zbMATH Keywords

metric spacemultivalued mappingdiscrete dynamical systemcoincidence point\(\psi(t)\)-Lipschitzcascade searchfunction compatible with seriesmulticascadetranslation semigroup

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Inequalities in real analysis (26D99)

Related Items (4)

Approximation theorems in metric spaces and functionals strictly subordinated to convergent series ⋮ On preservation of common fixed points and coincidences under a homotopy of mapping families of ordered sets ⋮ The method of searching for zeros of functionals on a conic metric space and its stability issues ⋮ Fixed points and coincidences of families of mappings between ordered sets and some metrical consequences

Cites Work

• On the well-posedness of differential equations unsolved for the derivative
• Cascade search of the coincidence set of collections of multivalued mappings
• Cascade search for preimages and coincidences: global and local versions
• Cascade search principle and its applications to the coincidence problems of \(n\) one-valued or multi-valued mappings

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