J. Korean Math. Soc. 1998; 35(1): 165-175
Printed March 1, 1998
Copyright © The Korean Mathematical Society.
In-Sook Kim
Sung Kyun Kwan University
We give a generalization of the selection theorem of Ben-El-Mechaiekh and Oudadess to complete $LD$-metric spaces with the aid of the notion of $n$-connectedness. Our new selection theorem is used to obtain new results on fixed points and coincidence points for compact lower semicontinuous set-valued maps with closed values consisting of $\Cal D$-sets in a complete $LD$-metric space.
Keywords: Selection theorem, $n$-connected, paracompact, $LD$-metric space, lower semicontinuous set-valued map, coincidence point, fixed point
MSC numbers: 54C65, 54C60, 55M20
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