Abstract
This paper provides an extension of the classical general equilibrium model to the setting of l.c.-spaces, which are infinite dimensional topological spaces without linear structure. By using a KKM theorem, we establish a general fixed point theorem. As an application, we derive a new existence theorem of equilibria for abstract economies involving We-majorized set-valued mappings.
| Original language | English |
|---|---|
| Pages (from-to) | 177-184 |
| Number of pages | 8 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 17 |
| Issue number | 1 |
| Publication status | Published - 2016 |
Keywords
- Equilibrium
- KKM theorem
- L.C.-space
- u-majorized mapping
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics
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