Cascade search for preimages and coincidences: global and local versions

DOI10.1134/S0001434613010173zbMath1273.54053OpenAlexW1972174041MaRDI QIDQ1947780

Tatiana N. Fomenko

Publication date: 26 April 2013

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

Full work available at URL: https://doi.org/10.1134/s0001434613010173

zbMATH Keywords

fixed pointset-valued mapcoincidence setcascade searchmulticascadecommon roots

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (12)

Zeros of functionals and a parametric version of Michael selection theorem ⋮ The existence of zeros of multivalued functionals, coincidence points, and fixed points in \(f\)-quasimetric spaces ⋮ Functionals strictly subordinate to series and search for solutions of equations ⋮ Preservation of the existence of zeros in a family of set-valued functionals and some consequences ⋮ 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 ⋮ Functionals strictly subjected to convergent series and search for singularities of mappings ⋮ Fixed points and coincidences of mappings of partially ordered sets ⋮ Zero preservation for a family of multivalued functionals, and applications to the theory of fixed points and coincidences ⋮ Refinement of lower bounds of the chromatic number of a space with forbidden one-color triangles ⋮ 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

• Approximation of coincidence points and common fixed points of a collection of mappings of metric spaces
• Stability of coincidence points and properties of covering mappings
• Cascade search of the coincidence set of collections of multivalued mappings
• Covering mappings in metric spaces and fixed points
• Locally covering maps in metric spaces and coincidence points
• Cascade search principle and its applications to the coincidence problems of \(n\) one-valued or multi-valued mappings
• Stability of cascade search

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