Topological version of section theorems with applications

DOI10.1007/BF02451453zbMath0844.47037OpenAlexW2063653911MaRDI QIDQ1892007

Xian Wu, Shi Sheng Zhang

Publication date: 9 September 1996

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02451453

zbMATH Keywords

variational inequalitiesKKM theoremselection theoremsfixed point problems for set-valued mappings

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Set-valued operators (47H04)

Cites Work

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• On the use of KKM multifunctions in fixed point theory and related topics
• Fixed point theorems and vector valued minimax theorems
• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• A minimax inequality and its applications to variational inequalities
• Generalized KKM theorem and variational inequalities
• Generalized KKM theorem on \(H\)-space with applications
• Generalizations of Ky Fan's matching theorems and their applications
• Applications of the generalized Knaster-Kurakowski-Mazurkiewicz theorem to variational inequalities
• A new generalization of the Schauder fixed point theorem
• The fixed point theory of multi-valued mappings in topological vector spaces
• On fixed points and variational inequalities—a circular tour

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