Browsing by Author "Rauf, K."

Now showing 1 - 6 of 6
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    Continuous Dependence for Two Implicit Kirk-Type Algorithms in General Hyperbolic Spaces
    (Hindawi Publishing Corporation, 2017-06-21) Rauf, K.; Wahab, O. T.; Alata, S. M.
    This paper aims to study extensively some results concerning continuous dependence for implicit Kirk-Mann and implicit Kirk- Ishikawa iterations. In order to equipoise the formation of these algorithms, we introduce a general hyperbolic space which is no doubt a free associate of some known hyperbolic spaces. The present results are extension of other results and they can be used in many applications.
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    Finite Element Methods on Derivative Least–Square and Semi-Standard Galerkin for Solving Boundary Value Problems
    (The Pacific Journal of Science and Technology, Akamai University, 2015-11-15) Rauf, K.; Omolehin J. O.; Aniki, S. A.; Wahab, O. T.
    In this paper, we derived a Derivative Least–Square Method (DLSM) and Semi-Standard Galerkin Method (SSGM) which are both Finite Element Methods (FEM) for Solving Boundary Value Problems. In the DLSM, the residue was differentiated into a new derivative of the residue R while in the SSGM, we took I, for which D is its basis function. The proposed methods were applied on several boundary value problems and the numerical results obtained are reliable and in good agreement with the exact solutions.
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    NEW IMPLICIT KIRK-TYPE SCHEMES FOR GENERAL CLASS OF QUASI-CONTRACTIVE OPERATORS IN GENERALIZED CONVEX METRIC SPACES
    (Austral Internet Publishing, 2017-04-11) Rauf, K.; Wahab, O. T.; Ali, A.
    In this paper, we introduce some new implicit Kirk-type iterative schemes in generalized convex metric spaces in order to approximate fixed points for general class of quasi-contractive type operators. The strong convergence, T-stability, equivalency, data dependence and convergence rate of these results were explored. The iterative schemes are faster and better, in term of speed of convergence, than their corresponding results in the literature. These results also improve and generalize several existing iterative schemes in the literature and they provide analogues of the corresponding results of other spaces, namely: normed spaces, CAT(0) spaces and so on.
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    On Faster Implicit Hybrid Kirk-Multistep Schemes for Contractive-Type Operators
    (Hindawi Publishing Corporation, 2016-07-26) Wahab, O. T.; Rauf, K.
    The purpose of this paper is to prove strong convergence and T-stability results of some modified hybrid Kirk-Multistep iterations for contractive-type operator in normed linear spaces. Our results show through analytical and numerical approach that the modified hybrid schemes are better in terms of convergence rate than other hybridKirk-Multistep iterative schemes in the literature.
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    SOME RESULTS ON COMMON FIXED POINT FOR GENERALIZED f-CONTRACTION MAPPING
    (Global Journal of Mathematics, 2015-03-20) Alata, S. M.; Rauf, K.; Wahab, O. T.
    In this article, we prove some common fixed point theorems for the generalized f-contraction mapping in a complete cone metric space. Our results extend and generalized some recent results.
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    SOME RESULTS ON IMPLICIT MULTISTEP FIXED POINT ITERATIVE SCHEMES FOR CONTRACTIVE-LIKE OPERATORS IN CONVEX METRIC SPACES
    (Universiteti i Prishtin es, Prishtine, Kosove., 2018-08-14) Wahab, O. T.; Rauf, K.
    In this paper, we establish and prove strong convergence, T-stability, convergence rate and data dependence results for multistep xed point iterative schemes using a class of contractive-like operators in convex metric spaces. Our results show that the proposed implicit multistep schemes have better convergence rate than the well-known explicit multistep schemes and multistep SP-iterative schemes. This is shown by analytical processes and validated with numerical examples. Several known results in the literature are embedded in these present results.