The Experts below are selected from a list of 41043 Experts worldwide ranked by ideXlab platform
Metin Basarir - One of the best experts on this subject based on the ideXlab platform.
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convergence and data dependence results of an Iteration Process in a hyperbolic space
Filomat, 2016Co-Authors: Aynur şahin, Metin BasarirAbstract:In this paper, we prove the strong and delta-convergence theorems of an Iteration Process of Khan et al. (J. Appl. Math. Comput. 35: 607-616, 2011) for three fi nite families of total asymptotically nonexpansive nonself mappings in a hyperbolic space. Moreover we obtain the data dependence result of this Iteration for contractive-like mappings under some suitable conditions. Also we present some examples to support the results proved herein. Our results extend and improve some recent results announced in the current literature.
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on the new multi step Iteration Process for multi valued mappings in a complete geodesic space
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 2015Co-Authors: Aynur şahin, Metin BasarirAbstract:The purpose of this paper is to prove the strong and 4-convergencetheorems of the new multi-step Iteration Process for multi-valued quasi-nonexpansivemappings in a complete geodesic space. Our results extend and improve someresults in the literature
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on the strong and convergence of s Iteration Process for generalized nonexpansive mappings on cat 0 space
Thai Journal of Mathematics, 2013Co-Authors: Metin Basarir, Aynur şahinAbstract:In this paper, we give the strong and △ -convergence theorems for the S-Iteration Process of generalized nonexpansive mappings on CAT(0) space which extend and improve many results in the literature.
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on the strong convergence of a modified s Iteration Process for asymptotically quasi nonexpansive mappings in a cat 0 space
Fixed Point Theory and Applications, 2013Co-Authors: Aynur şahin, Metin BasarirAbstract:In this paper, we give strong convergence theorems for the modified S-Iteration Process of asymptotically quasi-nonexpansive mappings on a space which extend and improve many results in the literature. MSC: Primary 47H09; secondary 47H10.
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on the strong convergence of a modified s Iteration Process for asymptotically quasi nonexpansive mappings in a cat 0 space
Fixed Point Theory and Applications, 2013Co-Authors: Aynur şahin, Metin BasarirAbstract:In this paper, we give strong convergence theorems for the modified S-Iteration Process of asymptotically quasi-nonexpansive mappings on a CAT ( 0 ) Open image in new window space which extend and improve many results in the literature.
Aynur şahin - One of the best experts on this subject based on the ideXlab platform.
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convergence and data dependence results of an Iteration Process in a hyperbolic space
Filomat, 2016Co-Authors: Aynur şahin, Metin BasarirAbstract:In this paper, we prove the strong and delta-convergence theorems of an Iteration Process of Khan et al. (J. Appl. Math. Comput. 35: 607-616, 2011) for three fi nite families of total asymptotically nonexpansive nonself mappings in a hyperbolic space. Moreover we obtain the data dependence result of this Iteration for contractive-like mappings under some suitable conditions. Also we present some examples to support the results proved herein. Our results extend and improve some recent results announced in the current literature.
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on the new multi step Iteration Process for multi valued mappings in a complete geodesic space
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 2015Co-Authors: Aynur şahin, Metin BasarirAbstract:The purpose of this paper is to prove the strong and 4-convergencetheorems of the new multi-step Iteration Process for multi-valued quasi-nonexpansivemappings in a complete geodesic space. Our results extend and improve someresults in the literature
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on the strong and convergence of s Iteration Process for generalized nonexpansive mappings on cat 0 space
Thai Journal of Mathematics, 2013Co-Authors: Metin Basarir, Aynur şahinAbstract:In this paper, we give the strong and △ -convergence theorems for the S-Iteration Process of generalized nonexpansive mappings on CAT(0) space which extend and improve many results in the literature.
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on the strong convergence of a modified s Iteration Process for asymptotically quasi nonexpansive mappings in a cat 0 space
Fixed Point Theory and Applications, 2013Co-Authors: Aynur şahin, Metin BasarirAbstract:In this paper, we give strong convergence theorems for the modified S-Iteration Process of asymptotically quasi-nonexpansive mappings on a space which extend and improve many results in the literature. MSC: Primary 47H09; secondary 47H10.
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on the strong convergence of a modified s Iteration Process for asymptotically quasi nonexpansive mappings in a cat 0 space
Fixed Point Theory and Applications, 2013Co-Authors: Aynur şahin, Metin BasarirAbstract:In this paper, we give strong convergence theorems for the modified S-Iteration Process of asymptotically quasi-nonexpansive mappings on a CAT ( 0 ) Open image in new window space which extend and improve many results in the literature.
Jong Kyu Kim - One of the best experts on this subject based on the ideXlab platform.
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on the convergence of a modified s Iteration Process for asymptotically quasi nonexpansive type mappings in a cat 0 space
Nonlinear functional analysis and applications, 2014Co-Authors: G S Saluja, Jong Kyu KimAbstract:In this paper, we give the sufficient condition of modified S-Iteration Process to converge to fixed point for asymptotically quasi-nonexpansive type mappings in the setting of CAT(0) space and also establish some strong convergence theorems of the said Iteration Process and mapping under suitable conditions. Our results extend and improve many known results from the existing literature.
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convergence of common fixed point of finite step Iteration Process for generalized asymptotically quasi nonexpansive mappings
Nonlinear functional analysis and applications, 2014Co-Authors: G S Saluja, Jong Kyu KimAbstract:In this paper, we give a sucient condition to converge to common fixed point ofa nite step Iteration Process with errors for two finite families of generalized asymptotically quasi-nonexpansive mappings in the framework of Banach spaces. Also, we establish someweak and strong convergence theorems of the above said scheme and mappings using addi-tional assumptions to the space in the framework of uniformly convex Banach spaces. Theresults presented in this paper improve and extend some results of Chen and Guo (2011) [1], Sitthikul and Saejung (2009) [19] and many others.
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common fixed points of asymptotically nonexpansive mappings by one step Iteration Process in convex metric spaces
East Asian mathematical journal, 2010Co-Authors: Mujahid Abbas, Safeer Hussain Khan, Jong Kyu KimAbstract:We study one-step Iteration Process to approximate common xed points of two nonexpansive mappings and prove some convergence theorems in convex metric spaces. Using the so-called condition (A0), the convergence of iteratively dened sequences in a uniformly convex metric space is also obtained.
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convergence theorems of implicit iterative sequences for a finite family of asymptotically quasi nonexpansive type mappings
Nonlinear Analysis-theory Methods & Applications, 2009Co-Authors: Jong Kyu Kim, Young Man Nam, Jae Yull SimAbstract:Abstract In this paper, we introduce a new implicit Iteration Process generated by a finite family of asymptotically quasi-nonexpansive type mappings and prove the convergence theorems of the Process in a Banach space or uniformly convex Banach spaces. Our results extend and improve some recent results.
Mihai Postolache - One of the best experts on this subject based on the ideXlab platform.
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a new Iteration scheme for approximating fixed points of nonexpansive mappings
Filomat, 2016Co-Authors: Balwant Singh Thakur, Dipti Thakur, Mihai PostolacheAbstract:In this paper, we introduce a new three-step Iteration scheme and establish convergence results for approximation of fixed points of nonexpansive mappings in the framework of Banach space. Further, we show that the new Iteration Process is faster than a number of existing Iteration Processes. To support the claim, we consider a numerical example and approximated the fixed point numerically by computer using Matlab.
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modified picard mann hybrid Iteration Process for total asymptotically nonexpansive mappings
Fixed Point Theory and Applications, 2015Co-Authors: Balwant Singh Thakur, Dipti Thakur, Mihai PostolacheAbstract:In this paper, using the modified hybrid Picard-Mann Iteration Process, we establish Δ-convergence and strong convergence theorems for total asymptotically nonexpansive mappings on a $CAT(0)$ space. Results established in the paper extend and improve a number of results in the literature. A numerical example is also given to examine the fastness of the proposed Iteration Process under different control conditions and initial points.
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strong convergence of new Iteration Process for a strongly continuous semigroup of asymptotically pseudocontractive mappings
Numerical Functional Analysis and Optimization, 2013Co-Authors: Balwant Singh Thakur, Rajshree Dewangan, Mihai PostolacheAbstract:In this article, we establish strong convergence theorems for fixed points of strongly continuous semigroup of uniformly Lipschitzian asymptotically pseudocontractive mappings, in the framework of real Banach space.
Mansoor Saburov - One of the best experts on this subject based on the ideXlab platform.
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strong convergence of an explicit Iteration Process for a totally asymptotically i nonexpansive mapping in banach spaces
Applied Mathematics Letters, 2010Co-Authors: Farrukh Mukhamedov, Mansoor SaburovAbstract:In this work we prove the strong convergence of an explicit iterative Process to a common fixed point of a totally asymptotically I-nonexpansive mapping T and a totally asymptotically nonexpansive mapping I, defined on a nonempty closed convex subset of a uniformly convex Banach space.
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weak and strong convergence of an implicit Iteration Process for an asymptotically quasi nonexpansive mapping in banach space
Fixed Point Theory and Applications, 2010Co-Authors: Farrukh Mukhamedov, Mansoor SaburovAbstract:We prove the weak and strong convergence of the implicit iterative Process to a common fixed point of an asymptotically quasi- -nonexpansive mapping and an asymptotically quasi-nonexpansive mapping , defined on a nonempty closed convex subset of a Banach space.
