Research report, "Some convergence theorems for arrays of two average index of random elements in Banach spaces with integrable conditions on" pptx
Research report, "Some convergence theorems for arrays of two average index of random elements in Banach spaces with integrable conditions on" pptx
... EVmnij.Observe that for each i and j, xm i um, yn j vn, then Vij= (Vmnij−bmnij)+(Vmnij− bmnij). And since Amnijand Vijare independent for each m, n, i, j ... 1}13thNote that (3.6) means {Vijr; i, j ∈ Z} is {E|Amnij|r}-uniformly integrable, and thenby Corollary 1 with q = p/r, Xij= Vijrand amnij= E|Amnij|rwe getumi=xmvnj=yn|Amnij|pE(VijpI(Vij ... 0.cmn=1supxmium,ynjvn|amnij|umi=xmvnj=yn|amnij|qE(|Xij|qI(|Xij| cmn)) → 0 as m ∨ n → ∞ (q > 1).Proof. Applying Lemma 1 with kmn= [cmn] + 1 and Xijis replaced by amnijcmnXij.{Yn, n ≥ 1} Bernoulli...
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báo cáo hóa học:" Research Article Weak Convergence Theorems for a Countable Family of Strict Pseudocontractions in Banach Spaces" doc
... improve Theorems 3.3and3.4 of Chidume-Shahzad 17 in the following senses:i from real uniformly smooth and uniformly convex Banach spaces to real uniformlyconvex Banach spaces with Fr´echet ... subsequenceconverging to 0, then limn →∞an 0.To deal with a family of mappings, the following conditions are introduced. Let Kbe a subset of a real Banach space E,andlet{Tn} be a family of mappings of ... iteration,” Proceedings of the American Mathematical Society, vol.4, pp. 506–510, 1953.6 S. Reich, “Weak convergence theorems for nonexpansive mappings in Banach spaces, ” Journal of Mathematical...
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Báo cáo hóa học: "Research Article Convergence Theorems for the Unique Common Fixed Point of a Pair of Asymptotically Nonexpansive Mappings in Generalized Convex Metric Space" pptx
... Foundation of China no. 70432001 and Shanghai Leading AcademicDiscipline Project B210.References1 S. C. Bose, “Common fixed points of mappings in a uniformly convex Banach space,” Journal of ... are two uniformly quasi-Lipschitzianmappings in Banach space. Since Theorem 1.6 also holds in Banach spaces, we can prove thatthere exists a p ∈ F such that limn →∞xn− p 0. The proof of ... mappings,” Archivum Mathematicum, vol. 39, no. 2, pp. 123–127, 2003.5 C. Wang and L. W. Liu, Convergence theorems for fixed points of uniformly quasi-Lipschitzianmappings in convex metric spaces, ”...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for Common Fixed Points of Multistep Iterations with Errors in Banach Spaces" pdf
... strong convergence theorem for commonfixed points of the multistep iterative scheme with errors for asymptotically nonexpansivemappings in the intermediate sense in a uniformly convex Banach ... 3andT1 T2 T3 T in Theorem 3.4, we obtain strong convergence theorem for Noor iteration scheme with error for asymptotically nonexpansive mapping T in the intermediate sense in Banach space, we ... Je ChoWe establish strong convergence theorem for multi-step iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in Banach spaces. Our resultsextend...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings" pdf
... “Weak convergence theorems for nonexpansive mappings in Banach spaces, ” Journal of Mathematical Analysis and Applications, vol. 67, no. 2, pp. 274–276, 1979.[5] T H. Kim and H K. Xu, “Strong convergence ... therein). A typical prob-lem is to minimize a quadratic function over the set of the fixed points of a nonexpansivemapping on a real Hilbert space H:minx∈C12Ax, x−x,b, (1.2)4 Fixed Point ... Ty≤x − y for all x, y ∈ C.Apoint x∈ C is called a fixed point of T provided Tx = x. Denote by F(T) the set of fixedpoints of T, that is, F(T)={x ∈ C : Tx = x}. Recall that a self-mapping f :...
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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
... ThailandFull list of author information isavailable at the end of the articleAbstractA new general iterative method for finding a common element of the set of solutions of variational inequality ... countablefamily of nonexpansive mappings and a solution of variational inequality of aninverse strongly monotone mapping are established. Moreover, we apply our mainresult to obtain strong convergence theorems ... strongly to a common element of the set of fixed points of nonexpansive mapping and the set of solutions of the variationalinequality for an inverse strongly monotone mapping (say¯x∈ C), which...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for Strict Pseudocontractions in Uniformly Convex Banach Spaces" pot
... results 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-uniformlyconvex Banach ... StrictPseudocontractions in Uniformly Convex Banach Spaces Liang-Gen Hu,1Wei-Wei Lin,2and Jin-Ping Wang11Department of Mathematics, Ningbo University, Zhejiang 315211, China2School of Computer Science ... pp.1127–1138, 1991.10 T. Suzuki, “Strong convergence theorems for in nite families of nonexpansive mappings in general Banach spaces, ” Fixed Point Theory and Applications, no. 1, pp. 103–123,...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space Yi-An Chen" ppt
... by 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 ... 2006.Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2009, Article ID 962303, 7 pagesdoi:10.1155/2009/962303 Research ArticleStrong Convergence Theorems for In nitelyNonexpansive ... − y, for all x, y ∈ C.Construction of fixed points of nonexpansive mappings via Mann’s iteration 1 hasextensively been investigated in literature see, e.g., 2–5 and reference therein.Buttheconvergence...
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Báo cáo hóa học: "Research Article Strong Convergence Theorems for Nonexpansive Semigroups without Bochner Integrals Satit Saejung" ppt
... “Strong convergence theorems by hybrid methods for fam-ilies of nonexpansive mappings in Hilbert spaces, ” Journal of Mathematical Analysis and Applications,vol. 341, no. 1, pp. 276–286, 2007.Hindawi ... recentlyproved a strong convergence theorem for nonexpansive semigroups in Hilbert spaces by hy-brid method in the mathematical programming. However, their proof of the main result 3,Theorem ... 1/42 for all n ≥ m2. Again, by Lemma 1.1, δ/3is a cluster point of {tn} and this implies that there exists n2>m2such that δ/4 <tn2<δ/2.Continuing in this way, we obtain a...
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báo cáo hóa học:" Research Article Ishikawa Iterative Process for a Pair of Single-valued and Multivalued Nonexpansive Mappings in Banach Spaces" doc
... mapping T if x ∈ Tx.We use the notation FixT standing for the set of fixed points of a mapping T andFixt ∩ FixT standing for the set of common fixed points of tand T. Precisely, a point ... strong convergence theorem of a sequencefrom such process in a nonempty compact convex subset of a uniformly convex Banach space.2. PreliminariesThe important pr operty of the uniformly convex Banach ... pagesdoi:10.1155/2010/618767 Research ArticleIshikawa Iterative Process for a Pair of Single-valued and Multivalued NonexpansiveMappings in Banach Spaces K. Sokhuma1and A. Kaewkhao21Department of Mathematics,...
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