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http://dx.doi.org/10.4134/JKMS.2002.39.3.387

FIXED POINT THEOREMS, SECTION PROPERTIES AND MINIMAX INEQUALITIES ON K-G-CONVEX SPACES  

Balaj, Mircea (Department of Mathematics University of Oradea)
Publication Information
Journal of the Korean Mathematical Society / v.39, no.3, 2002 , pp. 387-395 More about this Journal
Abstract
In [11] Kim obtained fixed point theorems for maps defined on some “locally G-convex”subsets of a generalized convex space. Theorem 2 in Kim's article determines us to introduce, in this paper, the notion of K-G-convex space. In this framework we obtain fixed point theorems, section properties and minimax inequalities.
Keywords
generalized convex space; K-G-convex space; map; Kakutani map; selection; section property; minimax inequality;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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