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On the equivalence problems for the convergence of iterative sequences for setvalued contraction mappings in Banach spaces

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Some equivalence conditions for the convergence of iterative sequences for set-valued contraction mapping in Banach spaces are obtained.

Abstract

Some equivalence conditions for the convergence of iterative sequences for set-valued contraction mapping in Banach spaces are obtained.

참고문헌 (5)

  1. N. J. Huang, "perturbed iterative procedure for multivalued pseudocontractive mappings and multivalued accretive mappings in Banach spaces", Comp. Math. Appl, 37, pp.7~15 (1999)
  2. S. Ishikawa, "Fixed points by a new iteration method", Proc. Amer. Math. Soc, 44(1,), pp.147~150 (1974)
  3. Y. Q. Li, "On iterative process for Lipschitz strongly accretive operators", Acta Math. Sinica, 41, pp.845~850 (1998)
  4. W. R. Mann, "Mean value methods in iteration", Proc. Amer. Math. Soc, 4, pp.506~510 (1953)
  5. S. B. Nadler, "Multi-valued contraction mapping", Pacific J. Math, 30, pp.475~488 (1969)

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