A Sufficient and Necessary Condition for the Convergence of the Sequence of Successive Approximations to a Unique Fixed Point
نویسندگان
چکیده
If (X, d) is a complete metric space and T : X → X is a contraction mapping, then the conclusion of the Banach-Caccioppoli contraction principle is that the sequence of successive approximations of T starting from any point of the space converges to a unique fixed point. In this paper, we obtain a sufficient and necessary condition of the above conclusion in terms of the so-called strong Leader mappings.
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