Maximal elements over noncompact subsets of linear topological spaces

DOI10.1016/0165-1765(85)90143-0zbMath1273.91184OpenAlexW2046072373MaRDI QIDQ375049

Nicholas C. Yannelis

Publication date: 24 October 2013

Published in: Economics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-1765(85)90143-0

Mathematics Subject Classification ID

Utility theory (91B16) Fixed-point theorems (47H10)

Related Items (14)

The Yannelis-Prabhakar theorem on upper semi-continuous selections in paracompact spaces: extensions and applications ⋮ Maximal elements and equilibria for u-majorised preferences ⋮ Fixed point theorems in CAT(0) spaces with applications ⋮ A topological characterization of the existence of non-empty choice sets ⋮ Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces ⋮ On constrained generalized games with action sets in non-locally-convex and non-Hausdorff topological vector spaces ⋮ A generalized fixed point theorem and equilibrium point of an abstract economy ⋮ General conditions for the existence of maximal elements via the uncovered set ⋮ Fixed points, minimax inequalities and equilibria of noncompact abstract economies in \(FC\)-spaces ⋮ An intersection theorem for multivalued maps and applications ⋮ Minimax inequalities on \(G\)-convex spaces with applications to generalized games ⋮ Maximal element theorems with applications to generalized games and systems of generalized vector quasi-equilibrium problems in \(G\)-convex spaces ⋮ Equilibria of generalized games with \({\mathcal U}\)-majorized preference correspondences ⋮ A minimax inequality with applications to existence of equilibrium points

Cites Work

• Unnamed Item
• Maximal elements for nontransitive binary relations
• A generalization of Tychonoff's fixed point theorem
• Existence of maximal elements and equilibria in linear topological spaces
• Equilibria in markets with a Riesz space of commodities
• Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
• The fixed point theory of multi-valued mappings in topological vector spaces

This page was built for publication: Maximal elements over noncompact subsets of linear topological spaces