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Keywords:
fixed point; convex metric space; uniformly convex metric space; strictly convex metric space; best approximation; nonexpansive map
fixed point; convex metric space; uniformly convex metric space; strictly convex metric space; best approximation; nonexpansive map
Summary:
We obtain necessary conditions for the existence of fixed point and approximate fixed point of nonexpansive and quasi nonexpansive maps defined on a compact convex subset of a uniformly convex complete metric space. We obtain results on best approximation as a fixed point in a strictly convex metric space.
References:
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