IJPAM: Volume 78, No. 6 (2012)
FIXED POINT AND MAXIMAL ELEMENT THEOREMS WITH
APPLICATIONS TO GENERALIZED ABSTRACT ECONOMIES
APPLICATIONS TO GENERALIZED ABSTRACT ECONOMIES
A.K. Dubey
, A. Narayan
Department of Mathematics
Bhilai Institute of Technology
Bhilai House, Durg, Chattisgarh, 491001, INDIA


Department of Mathematics
Bhilai Institute of Technology
Bhilai House, Durg, Chattisgarh, 491001, INDIA
Abstract. In this paper, we establish some maximal element theorems for the -condensing multivalued maps in the setting of socio-economy or techno-economy spaces. As applications of our results, we obtain some general equilibrium existence theorems in the generalized abstract socio-economics with preference correspondences.
Received: March 12, 2012
AMS Subject Classification: 91B02, 52A07, 47H10
Key Words and Phrases: fixed point theorems, maximal element theorems, -condensing multivalued maps, transfer compactly open valued maps, generalized abstract economies
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 6