Maximum theorems with strict quasi-concavity and applications

DOI10.1016/j.na.2005.05.048zbMath1107.47059OpenAlexW2020916988MaRDI QIDQ2492413

Yanyan Li

Publication date: 9 June 2006

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.2005.05.048

zbMATH Keywords

KKM mapoptimization problemsocial equilibriummaximum theoremcompactly closedstrictly quasi-concave

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Programming in abstract spaces (90C48) Inequalities and extremum problems involving convexity in convex geometry (52A40) General equilibrium theory (91B50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalization of the ``maximum theorem
• A generalization of Tychonoff's fixed point theorem
• More on Harsanyi's utilitarian cardinal welfare theorem
• On midpoint convex set-valued functions
• Nine kinds of quasiconcavity and concavity
• Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization
• Remarks on a social equilibrium existence theorem of G. Debreu
• Mathematical methods of game and economic theory
• A Generalization of the Maximum Theorem
• A Social Equilibrium Existence Theorem*

This page was built for publication: Maximum theorems with strict quasi-concavity and applications