Iterative approximation of fixed points of Lipschitzian strictly pseudocontractive mappings

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Iterative Approximation of Fixed Points of Lipschitzian Strictly Pseudo-contractive Mappings

Suppose X = Lp (or Ip), p > 2, and K is a nonempty closed convex bounded subset of X. Suppose T: K —* K is a Lipschitzian strictly pseudo-contractive mapping of K into itself. Let {Cn}^_0 be a real sequence satisfying: (i) 0 < C„ < 1 for all n > 1, (") Z)rT=l Cn = °°> and Then the iteration process, zn G K, Zn+l = (1 — Cn)xn + CnTXn for n > 1, converges strongly to a fixed point of T in K.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1987

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1987-0870786-4