Functionals subordinate to converging series and some applications

DOI10.1134/S0001434614070323zbMath1315.54036MaRDI QIDQ2342368

S. R. Gainullova, Tatiana N. Fomenko

Publication date: 11 May 2015

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

zbMATH Keywords

common fixed pointsmulticascadecoincidence problemsearch functionalfunctional subordinate to converging series

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (5)

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 ⋮ Fixed points and coincidences of mappings of partially 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

• Functionals strictly subjected to convergent series and search for singularities of mappings
• Cascade search principle and its applications to the coincidence problems of \(n\) one-valued or multi-valued mappings
• Cascade search: stability of reachable limit points

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