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Vietnam Journal of Mathematics 34:2(2006) 149-155

A Fixed Point Theorem for Nonexpansive Mappings in Locally Convex Spaces 

Ha Duc Vuong

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.

 

2000 Mathematics Subject Classification: 54H25, 90D13, 46N10.

Keywords: Fixed point, nonexpansive mapping, normal structure, probabilistic normed space.

 
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