Extensions of best approximation and coincidence theorems.
Park, Sehie (1997)
International Journal of Mathematics and Mathematical Sciences
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Park, Sehie (1997)
International Journal of Mathematics and Mathematical Sciences
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Kim, In-Sook (2004)
Fixed Point Theory and Applications [electronic only]
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Włodarczyk, Kazimierz, Klim, Dorota (2003)
Abstract and Applied Analysis
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Rychlik, Marek (1996)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Sehgal, V.M., Singh, S.P. (1995)
International Journal of Mathematics and Mathematical Sciences
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Sadowska, Elżbieta (1996)
Mathematica Pannonica
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A. Kowalska (2007)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In the paper, the notion of a generalized convexity was defined and studied from the view-point of the selection and approximation theory of set-valued maps. We study the simultaneous existence of continuous relative selections and graph-approximations of lower semicontinuous and upper semicontinuous set-valued maps with α-convex values having nonempty intersection.
Mircea Balaj (2001)
Commentationes Mathematicae Universitatis Carolinae
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We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.
Fakhar, M., Zafarani, J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Popa, Dorian (1998)
General Mathematics
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Nikodem, Kazimierz (2003)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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