On the history of the fixed point method and the contribution of the soviet mathematicians (1920s-1950s.)

DOI10.22405/2226-8383-2018-19-2-30-55zbMath1439.47001OpenAlexW4254919284MaRDI QIDQ5109628

E. M. Bogatov

Publication date: 13 May 2020

Published in: Chebyshevskii sbornik (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb637

zbMATH Keywords

nonlinear integral equationsKrein-Shmuljan theoremfixed point methodSchauder theoremKrasnosel'skii theoremMarkov-Kakutani theoremTikhonov-Schauder theoremhistory of nonlinear functional analysisLeray-Schauder mapping degreetopological analysis methods

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Fixed-point theorems (47H10) Schools of mathematics (01A72) History of operator theory (47-03)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stanislaw Mazur's contributions to functional analysis
• Fixed-point theorems for compact convex sets
• Juliusz Schauder -- Personal reminiscences
• Leray-Schauder degree: A half century of extensions and applications
• Remarks on the Schauder-Tychonoff fixed point theorem
• Ninety years of the Brouwer fixed point theorem
• Jean Leray and nonlinear integral equations: a partially forgotten legacy
• The development of function spaces with particular reference to their origins in integral equation theory
• Ein Fixpunktsatz
• On regularly convex sets in the space conjugate to a Banach space
• Mark Alexandrovich Krasnosel'skii (on his seventieth birthday)
• Drei Sätze über die n-dimensionale euklidische Sphäre
• Über konvexe Mengen in linearen normierten Räumen
• Topologie et équations fonctionnelles
• Lineare Räume mit unendlich vielen Koordinaten und Ringe unendlicher Matrizen.
• On the mutual influence of Polish and Soviet schools of functional analysis in the second quarter of XX century
• History of Banach Spaces and Linear Operators
• POINCARÉ AND TOPOLOGY
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler