The Experts below are selected from a list of 3381 Experts worldwide ranked by ideXlab platform
Thabet Abdeljawad - One of the best experts on this subject based on the ideXlab platform.
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on picard Krasnoselskii hybrid iteration process in banach spaces
Journal of Mathematics, 2020Co-Authors: Thabet Abdeljawad, Kifayat Ullah, Junaid AhmadAbstract:In this research, we prove strong and weak convergence results for a class of mappings which is much more general than that of Suzuki nonexpansive mappings on Banach space through the Picard–Krasnoselskii hybrid iteration process. Using a numerical example, we prove that the Picard–Krasnoselskii hybrid iteration process converges faster than both of the Picard and Krasnoselskii iteration processes. Our results are the extension and improvement of many well-known results of the literature.
Mujahid Abbas - One of the best experts on this subject based on the ideXlab platform.
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a solution of delay differential equations via picard Krasnoselskii hybrid iterative process
Arabian Journal of Mathematics, 2017Co-Authors: Godwin Amechi Okeke, Mujahid AbbasAbstract:The purpose of this paper is to introduce Picard–Krasnoselskii hybrid iterative process which is a hybrid of Picard and Krasnoselskii iterative processes. In case of contractive nonlinear operators, our iterative scheme converges faster than all of Picard, Mann, Krasnoselskii and Ishikawa iterative processes in the sense of Berinde (Iterative approximation of fixed points, 2002). We support our analytic proofs with a numerical example. Using this iterative process, we also find the solution of delay differential equation.
Junaid Ahmad - One of the best experts on this subject based on the ideXlab platform.
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on picard Krasnoselskii hybrid iteration process in banach spaces
Journal of Mathematics, 2020Co-Authors: Thabet Abdeljawad, Kifayat Ullah, Junaid AhmadAbstract:In this research, we prove strong and weak convergence results for a class of mappings which is much more general than that of Suzuki nonexpansive mappings on Banach space through the Picard–Krasnoselskii hybrid iteration process. Using a numerical example, we prove that the Picard–Krasnoselskii hybrid iteration process converges faster than both of the Picard and Krasnoselskii iteration processes. Our results are the extension and improvement of many well-known results of the literature.
Godwin Amechi Okeke - One of the best experts on this subject based on the ideXlab platform.
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Iterative approximation of fixed points of contraction mappings in complex valued Banach spaces
Elsevier, 2019Co-Authors: Godwin Amechi OkekeAbstract:We approximate the fixed points of contraction mappings using the Picard–Krasnoselskii hybrid iterative process, which is known to converge faster than all of Picard, Mann and Ishikawa iterations in complex valued Banach spaces. Moreover, we prove analytically and with a numerical example that the Picard–Mann hybrid iteration and the Picard–Krasnoselskii hybrid iteration have the same rate of convergence. Furthermore, we apply our results in finding solutions of delay differential equations in complex valued Banach spaces. Keywords: Complex valued Banach spaces, Picard–Krasnoselskii hybrid iterative process, Delay differential equations, Picard–Mann hybrid iterative process, Stability, Data dependence, Mathematics Subject Classification: 47H09, 47H10, 49M05, 54H2
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a solution of delay differential equations via picard Krasnoselskii hybrid iterative process
Arabian Journal of Mathematics, 2017Co-Authors: Godwin Amechi Okeke, Mujahid AbbasAbstract:The purpose of this paper is to introduce Picard–Krasnoselskii hybrid iterative process which is a hybrid of Picard and Krasnoselskii iterative processes. In case of contractive nonlinear operators, our iterative scheme converges faster than all of Picard, Mann, Krasnoselskii and Ishikawa iterative processes in the sense of Berinde (Iterative approximation of fixed points, 2002). We support our analytic proofs with a numerical example. Using this iterative process, we also find the solution of delay differential equation.
Mohamed I Abbas - One of the best experts on this subject based on the ideXlab platform.
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existence and uniqueness results for fractional differential equations with riemann liouville fractional integral boundary conditions
Abstract and Applied Analysis, 2015Co-Authors: Mohamed I AbbasAbstract:We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. The first existence and uniqueness result is based on Banach’s contraction principle. Moreover, other existence results are also obtained by using the Krasnoselskii fixed point theorem. An example is given to illustrate the main results.
