weak and strong convergence theorems for generalized hybrid nonself mappings in hilbert spaces
Báo cáo hóa học: " Research Article Weak and Strong Convergence Theorems for Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense" pptx
... 3502–3511,2009.8 M. O. Osilike and S. C. Aniagbosor, Weak and strong convergence theorems for fixed points ofasymptotically nonexpansive mappings, ” Mathematical and Computer Modelling, vol. 32, no. 10, ... κ-strict pseudocontractions was introduced by Qihou 4 in 1996see also 5.KimandXu6 studied weak and strong convergence theorems for this classof mappings. It is important to note that ... Xu, Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, ” Journal of Mathematical Analysis and Applications, vol. 329, no. 1, pp. 336–346, 2007. Fixed Point...
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Báo cáo hóa học: " Research Article A Weak Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces" potx
... Pseudocontractive Mappings in Hilbert Spaces Xiaolong Qin,1Sun Young Cho,2 and Shin Min Kang31School of Mathematics and Information Sciences, North China University of Water Resources and Electric ... pseudocontractions was introduced by Browder and Petryshyn 11 in areal Hilbert space. In 2007, Marino and Xu 12 obtained a weak convergence theorem for theclass of strictly pseudocontractive mappings; see ... pseudocontractive mappings in the intermediate sense wasintroduced by Qin et al. 20. Weak convergence theorems of fixed points were establishedbased on iterative methods; see 20 for more details. In this...
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Báo cáo hóa học: " Fixed point theorems for some new nonlinear mappings in Hilbert spaces" pptx
... the following fixed point theorems for nonexpansive mappings in Hilbert spaces. In 1965, Browder [1] gave the following demiclosed principle for nonexpansive map-pings in Hilbert spaces. Theorem ... theorems, ergodic theorems , demiclosed prin-ciples, and Ray’s type theorems for asymptotic nonspreading mappings and for asym p-totic TJ mappings in Hilbert spaces. 3.1: Fixed point theorems Theorem ... <a(x)+b(x) 2 for all x ẻ C.Remark 1.1. The class of asymptotic nonspreading mappings contains the class ofnonspreading mappings and the class of TJ-2 mappings in a Hilbert space. Indeed, in Definition...
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Báo cáo hóa học: " Fixed point theorems for some new nonlinear mappings in Hilbert spaces" pot
... theorems, ergodic theorems , demiclosed prin-ciples, and Ray’s type theorems for asymptotic nonspreading mappings and for asym p-totic TJ mappings in Hilbert spaces. 3.1: Fixed point theorems Theorem ... asymptotic nonspreading mappings contains the class ofnonspreading mappings and the class of TJ-2 mappings in a Hilbert space. Indeed, in Definition 1.1, we know that(i) if a (x)=b (x) = 1 for all x ... for nonspreading mappings in Hilbert spaces. Furthermore, Takahashi and Yao [9] also introduced two nonlinear mappings in Hil-bert spaces. A mapping T : C đ C is called a TJ-1 mapping [9] if2||Tx...
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Báo cáo hóa học: " Fixed point theorems and Δ-convergence theorems for generalized hybrid mappings on CAT(0) spaces" doc
... nonexpansive mappings, nonspreading mappings, and hybrid mappings. We study the fixed point theorems of generalized hybrid mappings on CAT(0) spaces. We also consider some iterationprocesses for generalized ... point theorems for new nonlinear mappings in a Hilbert spaces. J Nonlinear Convex Anal. 11,79–88 (2010)17. Takahashi, W, Yao, JC: Fixed point theorems and ergodic theorems for nonlinear mappings ... generalized hybrid mappings on CAT(0) spaces, and our resultsgeneralize some results of fixed point theorems on CAT(0) spaces and Hilbert spaces. Keywords: nonexpansive mapping, fixed point, generalized...
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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" pdf
... point sets of nonexpansive mappings in Banach spaces. Trans Am Math Soc. 179, 251–262(1973)17. Browder, FE: Fixed point theorems for noncompact mappings in Hilbert spaces. Proc Nat Acad Sci ... different from the strong convergence theorems for the implicit iterative processes in the literatures.Finally, we discuss a strong convergence theorem concerning two nonexpansive mappings and the resolvent ... 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...
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Báo cáo toán học: " Weak and strong convergence theorems of implicit iteration process on Banach spaces" doc
... point sets of nonexpansive mappings in Banach spaces. Trans Am Math Soc. 179, 251–262(1973)17. Browder, FE: Fixed point theorems for noncompact mappings in Hilbert spaces. Proc Nat Acad Sci ... 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 ... isquasinonexpansive ifF( T) = ∅ and ||Tx - y|| ≤ ||x - y|| for all x ẻ C and y ẻ F(T). In 2008, Suzuki [1 ] introduced the following generalized nonexpansive mapping onBanach spaces. A mapping T: C đ E is said...
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Báo cáo hóa học: " Research Article Convergence of Paths for Perturbed Maximal Monotone Mappings in Hilbert Spaces" potx
... pagesdoi:10.1155/2010/547828Research Article Convergence of Paths for Perturbed MaximalMonotone Mappings in Hilbert Spaces Yuan Qing,1Xiaolong Qin,1Haiyun Zhou,2 and Shin Min Kang31Department of Mathematics, ... convergence of zero points for monotone mappings or fixed points ofpseudocontractions, see, for instance, 1–23 . In 1965, Browder 1 proved the existence result of fixed point for demicontinuouspseudocontractions ... convexity and continuity of h, we can get the convexity and continuity of the setK. Since h is continuous and H is a Hilbert space, we see that h attains its in mum overK;see20 for more details....
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Báo cáo hóa học: "Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings" pdf
... obtain strong convergence theorems for a countable family ofnonexpansive mappings and a strictly pseudocontractive mapping, and a countablefamily of uniformly k-strictly pseudocontractive mappings ... article as: Bunyawat and Suantai: Strong convergence theorems for variational inequalities and fixedpoints of a countable family of nonexpansive mappings. Fixed Point Theory and Applications 2011 ... Klin-eam and Suantai [6], we introduced thefollowing iteration to find some solutions of variational inequality and fixed points ofcountable family of nonexpansive mappings in a Hilbert spaces...
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Báo cáo hóa học: " Strong convergence theorems for equilibrium problems and fixed point problems: A new iterative method, some comments and applications" pptx
... subset of H and T : K đ H be a mapping. In this paper, the set of fixed points of T is denoted by F(T). We use symbols đ and to denote strong and weak convergence, respectively. For each point x ẻ ... Studies in Advanced Mathematics, vol. 28,Cambridge University Press, Cambridge (1990)13. Suzuki, T: Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces. ... Jitpeera, T, Kumam, P: Strong convergence theorems for solving generalized mixed equilibrium problems and general system of variational inequalities by the hybrid method. Nonlinear Anal Hybrid Sys. 4,...
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báo cáo hóa học: " Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense" pot
... pseudocontractions in Hlibert spaces. Nonlinear Anal. 70, 1902–1911 (2009). doi:10.1016/j.na.2008.02.09014. Tada, A, Takahashi, W: Weak and strong convergence theorems for a nonexpansive mappingand a equilibriumproblem. ... article as: Duan and Zhao: Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense. Fixed Point Theory and Applications ... Hu and Cai [3] further considered the asymptotically strict pseudocon-tractive mappings in the intermediate sense concerning equilibrium problem. Theyobtained the following result in a real Hilbert...
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báo cáo hóa học:" Research Article Strong Convergence of a New Iterative Method for Infinite Family of Generalized Equilibrium and Fixed-Point Problems of Nonexpansive Mappings in Hilbert Spaces" pptx
... Method for In nite Family of Generalized Equilibrium and Fixed-Point Problems of Nonexpansive Mappings in Hilbert Spaces Shenghua Wang1, 2 and Baohua Guo1, 21National Engineering Laboratory for ... Wang, G. Marino, and F. H. Wang, Strong convergence theorems for a generalized equilibriumproblem with a relaxed monotone mapping and a countable family of nonexpansive mappings in a hilbert space,” ... variational inequalities and fixed point problems for nonexpansive mappings, ”Nonlinear Analysis: Hybrid Systems, vol. 3, no. 4, pp. 475–486, 2009.14 A. Moudafi, Weak convergence theorems for nonexpansive...
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Báo cáo hóa học: " Research Article Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi-I-Nonexpansive Mapping in Banach Space" doc
... 3I-nonexpansive mappings were investigated in 20 .In 23 the weak convergence of three-step Noor iterative scheme for an I-nonexpansive mapping in a Banach space has beenestablished. Recently, in 24 ... process for a finite family of nonexpansive mappings in Banach spaces, ” Fixed Point Theory and Applications, vol. 2006, Article ID 82738, 11 pages,2006.18 H. Y. Li and H. Z. Li, Strong convergence ... Mathematical Analysis and Applications, vol. 75, no. 1, pp. 287–292, 1980.11 J. Gornicki, Weak convergence theorems for asymptotically nonexpansive mappings in uniformlyconvex Banach spaces, ” Commentationes...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for Strict Pseudocontractions in Uniformly Convex Banach Spaces" pot
... Mathematical Analysis and Applications, vol. 20, pp. 197–228, 1967.2 G. Marino and H K. Xu, Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces, ” Journal of ... pagesdoi:10.1155/2010/150539Research Article Strong Convergence Theorems for StrictPseudocontractions in Uniformly ConvexBanach Spaces Liang-Gen Hu,1Wei-Wei Lin,2 and Jin-Ping Wang11Department of Mathematics, Ningbo University, ... mappings, be extended to λ-strict pseudocontractions in uniformly convex Banach spaces? In 2008, using the Mann iteration and the modified Ishikawa iteration, Zhou 3obtained some weak and strong...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space Yi-An Chen" ppt
... 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 provethat ... PCn∩Qnxq,n≥ q1.3 and prove, {xn} converges strongly to a fixed point of {T1n} and {T2n}.We will use the notation: for weak convergence and → for strong convergence. ωwxn{x ... for In nitelyNonexpansive Mappings in Hilbert SpaceYi-An ChenCollege of Mathematics and Statistics, Chongqing Technology and Business University,Chongqing 400067, ChinaCorrespondence should...
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