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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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