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RESULTS ON FIXED POINTS
RESULTS ON FIXED POINTS Introduction Let f be a mapping of a metric space (M, d) into itself. It is known that a contraotive napping on a complete spaoe need not have a fixed point* (The mapping f is said to be oontractive whenever d(fx, ty) ] and . Let T.j and T2 be two continuous mappings of a Hausdorff space X into itself. Furthermore, let D be a continuous symetric mapping of X*X into the set of non-negative reals such that D(x, x) = 0 for x in X and DiT^x, ?2 q y) <a.,D(x, y) + a2D(x,doi:10.1515/dema-1984-0109 fatcat:6wjm3av36jdq7aloqunaoawj2y