Convergence Theorems of the Iterative Schemes in Convex Metric Spaces

نویسندگان

  • Ismat Beg
  • Mujahid Abbas
  • Jong Kyu Kim
چکیده

The purpose of this paper is to study the convergence problem of Mann and Ishikawa type iterative schemes of weakly contractive mapping in a complete convex metric space. We establish the results on invariant approximation for the mapping defined on a class of nonconvex sets in a convex metric space. Finally, we obtain the existence of common fixed points of two asymptotically nonexpansive mappings through the convergence of iteratively defined sequence in a uniformly convex metric space.

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تاریخ انتشار 2007