The applications of the Fan-Browder fixed point theorem in topological ordered spaces

DOI10.1016/j.aml.2006.01.016zbMath1196.54078OpenAlexW1991070922MaRDI QIDQ1031727

Qun Luo

Publication date: 30 October 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.01.016

zbMATH Keywords

fixed pointNash equilibriumconvex mappingGeneralized quasi-Ky Fan inequalityopen lower section

Mathematics Subject Classification ID

Noncooperative games (91A10) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (5)

A collectively fixed point theorem in abstract convex spaces and its applications ⋮ New results on system of generalized quasi-Ky Fan inequalities with set-valued mappings in topological semilattice spaces ⋮ Two kinds of fixed point theorems and reverse mathematics ⋮ Unnamed Item ⋮ Collectively fixed point and maximal element theorems in topological semilattice spaces

Cites Work

• Unnamed Item
• Nonsmooth vector optimization problems and Minty vector variational inequalities
• Essential equilibria of \(n\)-person noncooperative games
• On implicit vector equilibrium problems.
• Ky Fan's section theorem and its applications in topological ordered spaces.
• On existence of Nash equilibria of games with constraints on multistrategies
• Existence and duality of generalized vector equilibrium problems

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