The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
Mujahid Abbas - One of the best experts on this subject based on the ideXlab platform.
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on best proximity results for a generalized modified ishikawa s Iterative Scheme driven by perturbed 2 cyclic like contractive self maps in uniformly convex banach spaces
Journal of Mathematics, 2019Co-Authors: Mujahid AbbasAbstract:This paper proposes a generalized modified Iterative Scheme where the composed self-mapping driving can have distinct step-dependent composition order in both the auxiliary Iterative equation and the main one integrated in Ishikawa’s Scheme. The self-mapping which drives the Iterative Scheme is a perturbed - cyclic one on the union of two sequences of nonempty closed subsets and of a uniformly convex Banach space. As a consequence of the perturbation, such a driving self-mapping can lose its cyclic contractive nature along the transients of the Iterative process. These sequences can be, in general, distinct of the initial subsets due to either computational or unmodeled perturbations associated with the self-mapping calculations through the Iterative process. It is assumed that the set-theoretic limits below of the sequences of sets and exist. The existence of fixed best proximity points in the set-theoretic limits of the sequences to which the iterated sequences converge is investigated in the case that the cyclic disposal exists under the asymptotic removal of the perturbations or under its convergence of the driving self-mapping to a limit contractive cyclic structure.
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On Best Proximity Results for a Generalized Modified Ishikawa’s Iterative Scheme Driven by Perturbed 2-Cyclic Like-Contractive Self-Maps in Uniformly Convex Banach Spaces
Hindawi Limited, 2019Co-Authors: M. De La Sen, Mujahid AbbasAbstract:This paper proposes a generalized modified Iterative Scheme where the composed self-mapping driving can have distinct step-dependent composition order in both the auxiliary Iterative equation and the main one integrated in Ishikawa’s Scheme. The self-mapping which drives the Iterative Scheme is a perturbed 2-cyclic one on the union of two sequences of nonempty closed subsets Ann=0∞ and Bnn=0∞ of a uniformly convex Banach space. As a consequence of the perturbation, such a driving self-mapping can lose its cyclic contractive nature along the transients of the Iterative process. These sequences can be, in general, distinct of the initial subsets due to either computational or unmodeled perturbations associated with the self-mapping calculations through the Iterative process. It is assumed that the set-theoretic limits below of the sequences of sets Ann=0∞ and Bnn=0∞ exist. The existence of fixed best proximity points in the set-theoretic limits of the sequences to which the iterated sequences converge is investigated in the case that the cyclic disposal exists under the asymptotic removal of the perturbations or under its convergence of the driving self-mapping to a limit contractive cyclic structure
Poom Kumam - One of the best experts on this subject based on the ideXlab platform.
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convergence theorem for equilibrium problem and bregman strongly nonexpansive mappings in banach spaces
Optimization, 2016Co-Authors: Wiyada Kumam, Uamporn Witthayarat, Suthep Suantai, Poom Kumam, Kriengsak WattanawitoonAbstract:In this paper, we present an Iterative Scheme for Bregman strongly nonexpansive mappings in the framework of Banach spaces. Furthermore, we prove the strong convergence theorem for finding common fixed points with the set of solutions of an equilibrium problem.
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a new Iterative Scheme for generalized mixed equilibrium variational inequality problems and a zero point of maximal monotone operators
Journal of Applied Mathematics, 2012Co-Authors: Kriengsak Wattanawitoon, Poom KumamAbstract:The purpose of this paper is to introduce a new Iterative Scheme for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of solutions of variational inequality problems, the zero point of maximal monotone operators, and the set of two countable families of quasi-ϕ-nonexpansive mappings in Banach spaces. Moreover, the strong convergence theorems of this method are established under the suitable conditions of the parameter imposed on the algorithm. Finally, we apply our results to finding a zero point of inverse-strongly monotone operators and complementarity problems. Our results presented in this paper improve and extend the recently results by many others.
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a hybrid Iterative Scheme for a maximal monotone operator and two countable families of relatively quasi nonexpansive mappings for generalized mixed equilibrium and variational inequality problems
Abstract and Applied Analysis, 2010Co-Authors: Siwaporn Saewan, Poom KumamAbstract:We introduce a new hybrid Iterative Scheme for finding a common element of the set of common fixed points of two countable families of relatively quasi-nonexpansive mappings, the set of the variational inequality for an α-inverse-strongly monotone operator, the set of solutions of the generalized mixed equilibrium problem and zeros of a maximal monotone operator in the framework of a real Banach space. We obtain a strong convergence theorem for the sequences generated by this process in a 2 uniformly convex and uniformly smooth Banach space. The results presented in this paper improve and extend some recent results.
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a hybrid Iterative Scheme for equilibrium problems and fixed point problems of asymptotically k strict pseudo contractions
Journal of Computational and Applied Mathematics, 2010Co-Authors: Poom Kumam, Narin Petrot, Rabian WangkeereeAbstract:In this paper, we propose an Iterative Scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of asymptotically k-strict pseudo-contractions in the setting of real Hilbert spaces. By using our proposed Scheme, we get a weak convergence theorem for a finite family of asymptotically k-strict pseudo-contractions and then we modify these algorithm to have strong convergence theorem by using the two hybrid methods in the mathematical programming. Our results improve and extend the recent ones announced by Ceng, et al.'s result [L.C. Ceng, Al-Homidan, Q.H. Ansari and J.C. Yao, An Iterative Scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings, J. Comput. Appl. Math. 223 (2009) 967-974] Qin, Cho, Kang, and Shang, [X. Qin, Y. J. Cho, S. M. Kang, and M. Shang, A hybrid Iterative Scheme for asymptotically k-strict pseudo-contractions in Hilbert spaces, Nonlinear Anal. 70 (2009) 1902-1911] and other authors.
M M Rashidi - One of the best experts on this subject based on the ideXlab platform.
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analysis of heat transfer due to stretching cylinder with partial slip and prescribed heat flux a chebyshev spectral newton Iterative Scheme
alexandria engineering journal, 2015Co-Authors: Abid Majeed, T Javed, Abuzar Ghaffari, M M RashidiAbstract:This study is dedicated to analyze the combined effects of partial slip and prescribed surface heat flux when the fluid is moving due to stretching cylinder. A very moderate and powerful technique Chebyshev Spectral Newton Iterative Scheme is used to determine the solution of the present mathematical model. Involved physical parameters, namely the slip parameter, Casson fluid parameter, curvature parameter and Prandtl number are utilized to control the fluid moments and temperature distribution. The results show that the fluid velocity and the skin friction coefficient on the stretching cylinder are strongly influenced by the slip parameter. It is further analyzed that hydrodynamic boundary layer decreases and thermal boundary layer increases with the slip parameter. Influence of Casson fluid parameter on temperature profile provides the opposite behavior as compared to the slip parameter. The comparison of numerical values of skin friction coefficient and the local Nusselt number is made with the results available in the literature. The accuracy and convergence of Chebyshev Spectral Newton Iterative Scheme is compared with finite difference Scheme (Keller box method) through tables. The CPU time is calculated for both Schemes. It is observed that CSNIS is efficient, less time consuming, stable and rapid convergent.
Suthep Suantai - One of the best experts on this subject based on the ideXlab platform.
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convergence theorem for equilibrium problem and bregman strongly nonexpansive mappings in banach spaces
Optimization, 2016Co-Authors: Wiyada Kumam, Uamporn Witthayarat, Suthep Suantai, Poom Kumam, Kriengsak WattanawitoonAbstract:In this paper, we present an Iterative Scheme for Bregman strongly nonexpansive mappings in the framework of Banach spaces. Furthermore, we prove the strong convergence theorem for finding common fixed points with the set of solutions of an equilibrium problem.
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a hybrid method for a countable family of lipschitz generalized asymptotically quasi nonexpansive mappings and an equilibrium problem
Communications of The Korean Mathematical Society, 2013Co-Authors: Prasit Cholamjiak, Watcharaporn Cholamjiak, Suthep SuantaiAbstract:In this paper, we introduce a new Iterative Scheme for finding a common element of the fixed points set of a countable family of uni- formly Lipschitzian generalized asymptotically quasi-nonexpansive map- pings and the solutions set of equilibrium problems. Some strong con- vergence theorems of the proposed Iterative Scheme are established by using the concept of W-mappings of a countable family of uniformly Lip- schitzian generalized asymptotically quasi-nonexpansive mappings.
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hybrid Iterative Scheme for generalized equilibrium problems and fixed point problems of finite family of nonexpansive mappings
Nonlinear Analysis: Hybrid Systems, 2009Co-Authors: Atid Kangtunyakarn, Suthep SuantaiAbstract:Abstract In this paper, we introduce a new mapping and a Hybrid Iterative Scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of nonexpansive mappings in a Hilbert space. Then, we prove the strong convergence of the proposed Iterative algorithm to a common fixed point of a finite family of nonexpansive mappings which is a solution of the generalized equilibrium problem. The results obtained in this paper extend the recent ones of Takahashi and Takahashi [S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and a nonexpansive mapping in a Hilbert space, Nonlinear Anal. 69 (2008) 1025–1033].
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Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
Journal of Mathematical Analysis and Applications, 2005Co-Authors: Suthep SuantaiAbstract:In this paper, weak and strong convergence theorems are established for a three-step Iterative Scheme for asymptotically nonexpansive mappings in Banach spaces. Mann-type and Ishikawa -type iterations are included by the new Iterative Scheme. The results obtained in this paper extend and improve the recent ones announced by Xu and Noor, Glowinski and Le Tallec, Noor, Ishikawa, and many others.
Abuzar Ghaffari - One of the best experts on this subject based on the ideXlab platform.
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hydromagnetic hiemenz flow of micropolar fluid over a nonlinearly stretching shrinking sheet dual solutions by using chebyshev spectral newton Iterative Scheme
Journal of Magnetism and Magnetic Materials, 2016Co-Authors: Asad Mahmood, Bin Chen, Abuzar GhaffariAbstract:Abstract Hydromagnetic stagnation point flow and heat transfer over a nonlinearly stretching/shrinking surface of micropolar fluid is investigated. The numerical simulation is carried out through Chebyshev Spectral Newton Iterative Scheme, after transforming the governing equations into dimensionless boundary layer form. The dual solutions are reported for different values of magnetic and material parameters against the limited range of stretching/shrinking parameter. It is also noted that second solution only occurs for the negative values of stretching/shrinking parameter, whereas for the positive values unique solution exists. The effects of dimensionless parameters are described through graphs. It is seen that the flow and heat transfer rates can be controlled through the material parameter and magnetic force.
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analysis of heat transfer due to stretching cylinder with partial slip and prescribed heat flux a chebyshev spectral newton Iterative Scheme
alexandria engineering journal, 2015Co-Authors: Abid Majeed, T Javed, Abuzar Ghaffari, M M RashidiAbstract:This study is dedicated to analyze the combined effects of partial slip and prescribed surface heat flux when the fluid is moving due to stretching cylinder. A very moderate and powerful technique Chebyshev Spectral Newton Iterative Scheme is used to determine the solution of the present mathematical model. Involved physical parameters, namely the slip parameter, Casson fluid parameter, curvature parameter and Prandtl number are utilized to control the fluid moments and temperature distribution. The results show that the fluid velocity and the skin friction coefficient on the stretching cylinder are strongly influenced by the slip parameter. It is further analyzed that hydrodynamic boundary layer decreases and thermal boundary layer increases with the slip parameter. Influence of Casson fluid parameter on temperature profile provides the opposite behavior as compared to the slip parameter. The comparison of numerical values of skin friction coefficient and the local Nusselt number is made with the results available in the literature. The accuracy and convergence of Chebyshev Spectral Newton Iterative Scheme is compared with finite difference Scheme (Keller box method) through tables. The CPU time is calculated for both Schemes. It is observed that CSNIS is efficient, less time consuming, stable and rapid convergent.
