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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" doc

Báo cáo toán học:

Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" pdf

... 2011:96http://www.fixedpointtheoryandapplications.com/content/2011/1/96Page 12 of 20RESEARC H Open Access Weak and strong convergence theorems of implicit iteration process on Banach spacesLai-Jiu Lin1*, ... Lin et al.: Weak and strong convergence theorems of implicit iteration process on Banach spaces. Fixed Point Theory and Applications 2011 2011:96.Submit your manuscript to a journal and benefi ... consider strong convergence theorem of an implicit- shrinking iterative process for two nonexpansive mappings and a relative nonexpansive mapping on Banach spaces. Note that the conditions of strong...
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Báo cáo toán học:

Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" doc

... consider weak convergence theorems of implicit iterativeprocesses for two nonexpansive mappings and a mapping which satisfies condition (C).Next, we consider strong convergence theorem of an implicit- shrinking ... iterative process for two nonexpansive mappings and a relative nonexpansive mapping on Banach spaces. Note that the conditions of strong convergence theorem are different from the strong convergence theorems ... Lin et al.: Weak and strong convergence theorems of implicit iteration process on Banach spaces. Fixed Point Theory and Applications 2011 2011:96.Submit your manuscript to a journal and benefi...
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Báo cáo toán học: " Maximal and minimal point theorems and Caristi’s fixed point theorem" docx

... article as: Li and Jiang: Maximal and minimal point theorems and Caristi’s fixed point theorem. Fixed Point Theory and Applications 2011 2011:103.Li and Jiang Fixed Point Theory and Applications ... existence theorems of maximal and minimal points are established. By using them, some generalized Caristi’s fixed point theorems are proved, which improve Caristi’s fixed point theorem and theresults ... Feng and Liu, Khamsi, and Li.MSC 2010: 06A06; 47H10.Keywords: maximal and minimal point, Caristi’s fixed point theorem, Caristi-typemapping, partial order1 IntroductionIn the past decades, Caristi’s...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems by Shrinking Projection Methods for Class T Mappings" pptx

... H.Inspired by Bauschke and Combettes 1 and Takahashi et al. 4, we present a shrinking projection method for the class of T mappings. Furthermore, we obtain a shrinking projection method for a ... Point Theory and ApplicationsCombettes 2, Bauschke, and Combettes 1 studied properties of the class T mappings and presented several algorithms. They introduced an abstract Haugazeau methodin ... dom T  H,then 2T − I is quasi-nonexpansive if and only if T T. ii If T T, thenλI 1 − λ T T, for all λ ∈ 0, 1.Definition 1.3. Let T n∈ T for each n. The sequence {T n} is called to...
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báo cáo hóa học:" Research Article Strong Convergence Theorems of a New General Iterative Process with Meir-Keeler Contractions for a Countable Family of λi -Strict Pseudocontractions in q-Uniformly Smooth Banach Spaces" pptx

... G. Cai and C. S. Hu, Strong convergence theorems of a general iterative process for a finite family of λi -strict pseudo -contractions in q-uniformly smooth Banach spaces,” Computers & Mathematics ... 0.Fixed Point Theory and Applications 199 X. Qin and Y. Su, “Approximation of a zero point of accretive operator in Banach spaces,” Journal of Mathematical Analysis and Applications, vol. ... 2010, Article ID 354202, 19 pagesdoi:10.1155/2010/354202 Research Article Strong Convergence Theorems of a New General Iterative Process with Meir-Keeler Contractions for a Countable Family of...
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báo cáo hóa học:" Research Article Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces" pot

... Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach SpacesRabian Wangkeeree and Uthai KamraksaDepartment of Mathematics, Faculty of Science, Naresuan University, ... Kimura, W. Takahashi, and M. Toyoda, “Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space,” Nonlinear Analysis: Theory, Methods & Applications, ... {Tn}∞n1 in either a p-uniformly convex Banach space which admits a weakly continuous duality mapping or a p-uniformly convex Banach space with uniformly Gˆateaux differentiable norm. As applications,...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for Strict Pseudocontractions in Uniformly Convex Banach Spaces" pot

... establish strong convergence theorems ofthe modified Mann iteration scheme to λ -strict pseudocontractions in p -uniformly convex Banach spaces with a uniformly Gˆateaux differentiable norm. The main ... in the following four aspects: 1 in contrast to weak convergence results in 2–4 ,strong convergence theorems of the modified Mann iterative sequence are obtained in p -uniformly convex Banach spaces; ... 1997.Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2010, Article ID 150539, 9 pagesdoi:10.1155/2010/150539 Research Article Strong Convergence Theorems for Strict Pseudocontractions...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems of Modified Ishikawa Iterations for Countable " pptx

... some strong convergence theorems for fixed points of modified Ishikawa and Halperniterative processes for a countable family of hemi-relatively nonexpansive mappings in a uniformlyconvex and uniformly ... and ApplicationsVolume 2009, Article ID 483497, 25 pagesdoi:10.1155/2009/483497Research Article Strong Convergence Theorems of Modified Ishikawa Iterations for Countable Hemi-RelativelyNonexpansive ... the strong convergence theorems for finding common fixed points of a countable family of hemi-relatively nonexpansive mappings, which can be viewed as ageneralization of the recently result of...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space Yi-An Chen" ppt

... ApplicationsVolume 2009, Article ID 962303, 7 pagesdoi:10.1155/2009/962303Research Article Strong Convergence Theorems for In nitely Nonexpansive Mappings in Hilbert Space Yi-An ChenCollege of ... Anthony To Ming LauWe introduce a modified Ishikawa iterative process for approximating a fixed point of two in nitely nonexpansive self -mappings by using the hybrid method in a Hilbert space and ... is a fixednumber, we will propose the following iterative progress for two in nitely nonexpansive mappings {T1n} and {T2n} in a Hilbert space H:x0,x1, ,xq∈ C chosen arbitrarity,yn...
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Báo cáo hóa học:

Báo cáo hóa học: "Research Article Strong Convergence Theorems of Common Fixed Points for a Family of Quasi-φ-Nonexpansive Mappings" ppt

... W. Takahashi, Y. Takeuchi, and R. Kubota, Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces,” Journal of Mathematical Analysis andApplications, ... “On a hybrid method for a family of relatively nonexpansive mappingsin a Banach space,” Journal of Mathematical Analysis and Applications, vol. 357, no. 2, pp. 356–363, 2009.9 G. Lewicki and ... pp.112–119, 2009.14 K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings andnonexpansive semigroups,” Journal of Mathematical Analysis and Applications, vol. 279, no....
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals Satit Saejung" ppt

... ApplicationsVolume 2008, Article ID 745010, 7 pagesdoi:10.1155/2008/745010Research Article Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals Satit SaejungDepartment ... Chen, Strong convergence theorems of the CQ method for nonexpansive semigroups, ”Fixed Point Theory and Applications, vol. 2007, Article ID 59735, 8 pages, 2007.4 T. Suzuki, Strong convergence ... no. 7, pp. 2133–2136, 2003.2 K. Nakajo and W. Takahashi, Strong convergence theorems for nonexpansive mappings and non-expansive semigroups, ” Journal of Mathematical Analysis and Applications,...
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Báo cáo hóa học:

Báo cáo hóa học: " Research Article Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups Huimin He and Rudong Chen" pptx

... show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematicalprogramming. The results presented extend and improve the corresponding ... ApplicationsVolume 2007, Article ID 59735, 8 pagesdoi:10.1155/2007/59735 Research Article Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups Huimin He and Rudong ChenReceived 25 ... Point Theory and ApplicationsReferences[1] F. E. Browder, “Fixed-point theorems for noncompact mappings in Hilbert space,” Proceedings of the National Academy of Sciences of the United States of...
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Báo cáo hóa học:

Báo cáo hóa học: "WEAK AND STRONG CONVERGENCE OF FINITE FAMILY WITH ERRORS OF NONEXPANSIVE NONSELF-MAPPINGS" docx

... convergence theorems of the multistep iterative scheme with errors for a finite family of nonexpansive nonself-mappings. More precisely, we prove weak convergence of these implicit iterationWEAK AND STRONG CONVERGENCE ... with the study of a multistep iterative scheme with errors involvinga finite family of nonexpansive nonself-mappings. We approximate the common fixedpoints of a finite family of nonexpansive nonself-mappings ... CONVERGENCE OF FINITE FAMILY WITH ERRORS OF NONEXPANSIVE NONSELF-MAPPINGSS. PLUBTIENG AND K. UNGCHITTRAKOOLReceived 27 September 2005; Revised 5 May 2006; Accepted 8 May 2006We are concerned with...
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Báo cáo hóa học:

Báo cáo hóa học: " WEAK AND STRONG CONVERGENCE THEOREMS FOR RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES" ppt

... introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems byusing the notion of generalized ... Vp,xn+1,(3.25) WEAK AND STRONG CONVERGENCE THEOREMS FOR RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACESSHIN-YA MATSUSHITA AND WATARU TAKAHASHIReceived 29 October 2003We first introduce an iterative ... prove weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces which were first introduced by Butnariu et al. [3] and further studied bythe authors [10]. For this...
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Báo cáo hóa học:

Báo cáo hóa học: " WEAK AND STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES SACHIKO ATSUSHIBA AND WATARU TAKAHASHI " doc

... CONVERGENCE THEOREMS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES SACHIKO ATSUSHIBA AND WATARU TAKAHASHI Received 24 February 2005We introduce an implicit iterative process for a nonexpansive ... Strong convergence theorems for finite quasi -nonexpansive mappings, Comm. Appl.Nonlinear Anal. 9 (2002), no. 3, 57–68.[2] , Strong convergence theorems for finite nonexpansive mappings in B anach spaces ... fixed point theory for nonexpansive mappings, Pacific J. Math. 40 (1972), 565–573.[9] N. Hirano, K. Kido, and W. Takahashi, Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces, ...
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