Fixed Point Theorems for Discontinuous Mapping in Banach Spaces
Key Words: discontinuous mappings   approximate fixed points   measure of discontinuity of a functions   the continufication of the discontinuous functions.  
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Author NameAffiliation
Mao Erwan Dept. of Math.
Hebei Normal University
Shijiazhuang 050016 
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      In this paper, we prove a generalization of Schauder′s fixed point theorem for discontinuous maps. The main result shows that for discontinuous functions on a compact convex domain X of a Banach spaces E, one can always find a point x∈X such that |x-f(x)| is less than a certain measure of discontinuity. This result is a generalization of Schauder′s theorem and .
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