IJPAM: Volume 78, No. 6 (2012)
APPLICATIONS TO GENERALIZED ABSTRACT ECONOMIES
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