Weak Convergence Theorem of Khan Iterative Scheme for Nonself I-Nonexpansive Mapping

Asst. Prof. Dept. of Applied Mathematics & Comp. Science, SATI (Deg), Vidisha (M.P.) India, Poonam Lata Sagar, S. K. Malhotra · IOSR Journal of Mathematics · 2014

In this paper, we prove the weak convergence of a modified Khan iteration for nonself Inonexpansive mapping in a Banach space which satisfies Opial's condition.Our result extends and improves these announced by S. Chornphrom and S.Phonin [Weak Converges Theorem of Noor iterative Scheme for Nonself I-Nonexpansive mapping, Thai Journal of Mathematics Volume 7(2009) no.2:311-317].

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