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 [23]. 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,

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... ^x) + UjDiy, T? q y) for every two distinct x, y in X, where p and q are positive integers and a1, a?, a, are non-negative numbers with -97 -Unauthenticated Download Date | 7/27/18 5:22 AM