Maximal elements of condensing preference maps

DOI10.1016/0893-9659(90)90017-6zbMath0717.47020OpenAlexW1968809470MaRDI QIDQ2638496

Ghanshyam B. Mehta

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0893-9659(90)90017-6

zbMATH Keywords

Kuratowski measure of noncompactnessmathematical economicsmultivalued mapexistence of a maximal element of a preference map

Mathematics Subject Classification ID

Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (11)

Non-binary choice in a non-deterministic model ⋮ Collective fixed points and maximal elements with applications to abstract economies ⋮ Maximal elements and equilibria for u-majorised preferences ⋮ Maximal elements and equilibria of condensing multimaps ⋮ An extension of Mehta theorem with applications ⋮ Fixed point and maximal element theorems with applications to abstract economies and minimax inequalities ⋮ Fixed points, maximal elements and equilibria of generalized games ⋮ Maximal elements of condensing preference maps in locally convex Hausdorff spaces ⋮ Maximal elements for non-ordered preferences ⋮ Mixed choice structures, with applications to binary and non-binary optimization ⋮ Equilibria of generalized games with \({\mathcal U}\)-majorized preference correspondences

Cites Work

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• On the existence of equilibria in economies with infinitely many commodities and without ordered preferences
• Topological methods in equilibrium analysis
• On Nonlinear Variational Inequalities

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