Browsing by Author "RAUF, K."

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    Convergence Rate of Some Two-Step Iterative Schemes in Banach Spaces
    (Hindawi Publishing Corporation, 2016-09-09) Wahab, O. T.; Olawuyi, R. O.; RAUF, K.; Usamot, I. F.
    This article proves some theorems to approximate fixed point of Zamfirescu operators on normed spaces for some two-step iterative schemes, namely, Picard-Mann iteration, Ishikawa iteration, S-iteration, and Thianwan iteration, with their errors. We compare the aforementioned iterations using numerical approach; the results show that S-iteration converges faster than other iterations followed by Picard-Mann iteration, while Ishikawa iteration is the least in terms of convergence rate. These results also suggest the best among two-step iterative fixed point schemes in the literature.
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    FIXED POINT THEOREMS WITH APPLICATIONS TO n-TH ORDER ORDINARY DIFFERENTIAL EQUATIONS
    (Advances Inequalities & Applications, 2014-04-30) RAUF, K.; WAHAB, O. T.; OMOLEHIN, J. O.; ABDULLAHI, I.; SANUSI, O. A.
    In this article, we consider fixed point theorems with applications to n-th order differential equations. Some examples are also considered. Our results extend and generalize several existing results in the literature.