A generalization of Browder's fixed point theorem with applications

DOI10.1016/J.NA.2006.09.063zbMath1131.47054OpenAlexW1983821719MaRDI QIDQ5919925

Xiangsun Zhang

Publication date: 18 September 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.09.063

zbMATH Keywords

Browder fixed point theoremcompact convex setHausdorff topological vector space\(c\)-compact mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Fixed-point theorems (47H10)

Cites Work

• A generalization of Tychonoff's fixed point theorem
• A fixed point theorem equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorem
• Generalizations of the FKKM theorem and the Ky Fan minimax inequality, with applications to maximal elements, price equilibrium, and complementarity
• A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
• The fixed point theory of multi-valued mappings in topological vector spaces

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