báo cáo hóa học:" Research Article Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense" potx
báo cáo hóa học:" Research Article Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense" potx
... 1, then the class of asymptotically pseudocontractive mappings in the intermediate sense is reduced to the class of asymptotically pseudocontrac-tive mappings. In this paper, we consider the ... new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence ... nonexpansive in the intermediate sense, then T has a fixed point. It is worth mentioning that the class of mappings whichare asymptotically nonexpansive in the intermediate sense contains properly the class...
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Báo cáo hóa học: " Research Article Convergence Theorems for Partial Sums of Arbitrary Stochastic Sequences" pdf
... 2, we present the main theorems of this paper. In Section 3, the proofs of the main theorems in this paper are presented.2. Main Theorems In this section, we will introduce the main results of ... series convergence theorem for sequence of martingaledifferences. Then, Qiu 14 extended the result of Wang and Yang in 2008. The purpose of this paper is to discuss f urther the strong limit theorems ... 9–15, 1999 Chinese.12 X. Wang and H. Guo, “Some strong limit theorems for arbitrary stochastic sequence,” in Proceedingof the 2nd International Joint Conference on Computational Sciences...
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Báo cáo hóa học: " Research Article Convergence Theorems Concerning Hybrid Methods for Strict Pseudocontractions and Systems of Equilibrium Problems" pot
... pseudo-contractions defined on a closed and convex subset C of a realHilbert space H. We consider the problem of finding a common element of fixed point setof these mappings and the solution set ... of Inequalities and ApplicationsVolume 2010, Article ID 396080, 14 pagesdoi:10.1155/2010/396080 Research Article Convergence Theorems Concerning HybridMethods for Strict Pseudocontractions ... programming in Hilbert spaces,” Journal ofNonlinear and Convex Analysis, vol. 6, no. 1, pp. 117–136, 2005.2 F. E. Browder and W. V. Petryshyn, “Construction of fixed points of nonlinear mappings in...
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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
... our mappings are the more general mappings a pair of asymptotically nonexpansive mappings , so our resultextend and generalize the corresponding results in 1–4, 6.ii Since {xn} converges ... ≥ 1.2. Main ResultsNow, we will prove the strong convergence of the iteration scheme 1.4 to the uniquecommon fixed point of a pair of asymptotically nonexpansive mappings S and T in completegeneralized ... Point Theory and Applicationsconsidered the Ishikawa iteration process to approximate the common fixed point of meannonexpansive mappings in uniformly convex Banach space. Takahashi 3 first introduced...
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Báo cáo hóa học: " Research Article Convergence Theorems for Common Fixed Points of Nonself Asymptotically Quasi-Non-Expansive Mappings" pptx
... 7 have introduced the concept of nonself asymptotically nonexpansive mappings, which is the generalization of asymptotically nonexpansive mappings. Similarly, the concept of nonself asymptotically ... Applicationscan also be defined as the generalization of asymptotically quasi-non-expansive mappings and nonself asymptotically nonexpansive mappings. These mappings are defined as follows.Definition ... 0;thenlimn→∞xn− yn 0.3. Main results In this section, we will prove the strong convergence of the iteration scheme 1.6 to acommon fixed point of nonself asymptotically quasi-non-expansive...
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Báo cáo hóa học: " Research Article Convergence Theorems of Fixed Points for a Finite Family of Nonexpansive Mappings in Banach Spaces" pot
... appropriate conditions.Concerning a family of nonexpansive mappings it has been considered by many authors. The well-known convex feasibility problem reduces to finding a point in the intersection of the fixed ... iteration algorithm hasonly weak convergence, in general, even for nonexpansive mappings. Therefore, many authorstry to modify normal Mann’s iteration process to have strong convergence for nonexpansive mappings ... γnNI,1.5Hindawi Publishing CorporationFixed Point Theory and ApplicationsVolume 2008, Article ID 856145, 7 pagesdoi:10.1155/2008/856145 Research Article Convergence Theorems of Fixed Pointsfor...
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Báo cáo hóa học: "Research Article Convergence Theorems of Common Fixed Points for Pseudocontractive Mappings" pot
... inclusions involving A, η-monotone mappings in Hilbert spaces,” Fixed Point Theory and Applications, vol. 2007, Article ID 29653,6 pages, 2007.7 R. Chen, Y. Song, and H. Zhou, Convergence theorems ... On the convergence of strictly pseudo-contractive mappings in Banachspaces,” Journal of Prime Research in Mathematics, vol. 3, pp. 154–161, 2007.11 X. Qin, Y. Su, and M. Shang, On the convergence ... family of nonexpansive mappings if one of the mappings is semicompact. Osilike 8 improved the results of Xu and Ori 17 fromnonexpansive mappings to strict pseudocontractions in the framework...
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Báo cáo hóa học: " Research Article Convergence Comparison of Several Iteration Algorithms for the Common Fixed Point Problems" pot
... Deduced Theorems Using Theorems 3.1, 3.2,and3.3, we can obtain many convergence theorems. We state someof them.We now discuss convergence theorems for families of nonexpansive mappings. Let ... interesting fixed point theoremwhich is one of generalizations of Theorem 1.1 because the weakly contractions containscontractions as the special cases ϕt1 − βt.Theorem 1.2 Rhoades2, Theorem ... distribution, and reproduction in any medium, provided the original work is properly cited.1. Introduction The following famous theorem is referred to as the Banach Contraction Principle.Theorem...
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Báo cáo hóa học: " Research Article Convergence of Vectorial Continued Fractions Related to the Spectral Seminorm" docx
... and ApplicationsTheorem 2.5 below gives a necessary condition for convergence according to the spectralseminorm. This result is an extension of von Koch Theorem 4, concerning the scalar case. ... fractions In this section, we discuss some conditions upon the elements anand bnof the vectorialcontinued fraction 1.1with b0 0 which are necessary to ensure the convergence. Definition ... ∞.3.4 The sequence snn≥0of the nth approximants converges according to the spectral seminorm.Consequently, the vectorial continued fraction 1.1 converges according to the spectralseminorm...
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Báo cáo hóa học: " Research Article Evolutionary Splines for Cepstral Filterbank Optimization in Phoneme Classification" potx
... enforce the algorithm convergence under certain conditions [18]. The elitist strategy consists in maintaining the best individual from one generationto the next. T he variation operators used in ... offilters and the second one to set the filters amplitude.Splines for Optimizing the Frequency Position of the Filters. In this case the splines are monotonically increasing andconstrained such ... interesting to note that the most expensivecomputation in the optimization is the fitness evaluation,that is, the training and test of the HMM-based classifier. In comparison to the approach [17] (in...
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