On Maximal Elements with Applications to Abstract Economies, Fixed Point Theory and Eigenvector Problems
Keyword(s):
Two existence theorems of maximal elements in H-spaces are obtained without compactness. More accurately, we deal with the correspondence to be of L -majorized mappings in the setting of noncompact strategy sets but merely requiring a milder coercive condition. As applications, we obtain an equilibrium existence theorem for general abstract economies, a new fixed point theorem, and give a sufficient condition for the existence of solutions of the eigenvector problem (EIVP).
1992 ◽
Vol 5
(2)
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pp. 111-122
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2014 ◽
Vol 587-589
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pp. 2279-2284
2013 ◽
Vol 2013
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pp. 1-8
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