Ky Fan's section theorem and its applications in topological ordered spaces.

DOI10.1016/j.aml.2003.12.003zbMath1061.54030OpenAlexW2037474822MaRDI QIDQ1767189

Qun Luo

Publication date: 7 March 2005

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

Full work available at URL: https://doi.org/10.1016/j.aml.2003.12.003

zbMATH Keywords

\(\Delta\)-convex setOrdered \(\gamma\)-diagonal quasi-concaveSPT l.s.c.Topological ordered space

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Existence of solutions for minimax problems (49J35) General equilibrium theory (91B50)

Related Items

Collectively fixed point theorems in noncompact abstract convex spaces with applications ⋮ A collectively fixed point theorem in abstract convex spaces and its applications ⋮ Fixed point theorems in CAT(0) spaces with applications ⋮ Collectively fixed point and maximal element theorems in topological semilattice spaces ⋮ The applications of the Fan-Browder fixed point theorem in topological ordered spaces ⋮ On generalized implicit vector equilibrium problems in topological ordered spaces

Cites Work

• A further generalization of Yannelis-Prabhakar's continuous selection theorem and its applications
• Maximal elements and fixed points for binary relations on topological ordered spaces
• Transfer Method for Characterizing the Existence of Maximal Elements of Binary Relations on Compact or Noncompact Sets