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The Equivalence Convergence of Iterative Sequences for Multi-Valued Mappings | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 22, Issue 6, 2011, Pages 247-266 | ||
| Author | ||
| Salwa Salman Abd | ||
| Abstract | ||
| We will show that the convergence of Picard iteration is equivalent to the convergence of Mann and Ishikawa iterations when the mapping is multi-valued contraction and multi-valued strongly pseudo-contraction (not necessary Lipschits) and when the underling space is a real Banach space or a real uniformly smooth Banach space. Here, the meaning of equivalent is: these iterations converge to the same fixed point. | ||
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