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Vietnam Journal of Mathematics 34:2(2006)
149-155
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A Fixed Point Theorem for Nonexpansive Mappings in
Locally Convex Spaces
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Ha Duc Vuong
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Abstract. In this note, first we establish a
fixed point theorem for a nonexpansive mapping in a locally convex space,
then we apply it to get a fixed point theorem in probabilistic normed
spaces.
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2000 Mathematics Subject Classification: 54H25, 90D13,
46N10.
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Keywords: Fixed point, nonexpansive mapping, normal
structure, probabilistic normed space.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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