Fixed point theorems and existence of equilibrium points of noncompact abstract economies for \(\mathcal L_F^*\)-majorized mappings in FC-spaces
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Publication:1049483
DOI10.1016/j.na.2009.06.040zbMath1216.54011OpenAlexW1998635231MaRDI QIDQ1049483
Publication date: 12 January 2010
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.2009.06.040
Fixed-point and coincidence theorems (topological aspects) (54H25) General equilibrium theory (91B50) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)
Related Items (4)
The robustness of generalized abstract fuzzy economies in generalized convex spaces ⋮ Fixed points, maximal elements and equilibria of generalized games in abstract convex spaces ⋮ Remarks on some basic concepts in the KKM theory ⋮ Fuzzy games for a general Bayesian abstract fuzzy economy model of product measurable spaces
Cites Work
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- Existence of maximal elements and equilibria in linear topological spaces
- Contractibility and generalized convexity
- Maximal elements of \(G_{\mathrm{KKM}}\)-majorized mappings in product \(FC\)-spaces and applications. I
- A fixed point theorem equivalent to the Fan-Knaster-Kuratowski- Mazurkiewicz theorem
- Equilibria of non-compact generalized games with \( L^*\)-majorized preference correspondences
- Existence of equilibrium actions and of equilibrium. A note on the 'new' existence theorems
- On equilibria of non-compact generalized games
- On the approximation of upper semi-continuous correspondences and the equilibria of generalized games
- Abstract convexity and fixed points
- Equilibrium existence theorems of abstract economics in \(H\)-spaces
- New H-KKM theorems and their applications to geometric property, coincidence theorems, minimax inequality and maximal elements
- Foundations of the KKM theory on generalized convex spaces
- Fixed points, minimax inequalities and equilibria of noncompact abstract economies
- Equilibria of nonparacompact generalized games with \(\mathcal L_{F_c}\)-majorized correspondences in \(G\)-convex spaces.
- Minimax inequalities on \(G\)-convex spaces with applications to generalized games
- Maximal element theorems in product \(FC\)-spaces and generalized games
- Coincidence theorems in topological spaces and their applications
- An existence theorem for maximal elements and its applications
- A minimax inequality with applications to existence of equilibrium points
- The study of equilibria for abstract economics in topological vector spaces – a unified approach
- Applications of a fixed point theorem in \(G\)-convex space
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