Báo cáo hóa học: " Research Article The Methods of Hilbert Spaces and Structure of the Fixed-Point Set of Lipschitzian Mapping" docx

... contradicts the fact that h<k. Hence the constant k in 3.1 is the best possible. Thus we complete the proof of the theorem. Journal of Inequalities and Applications 5 Setting y  tx then I 1  ... y 2      dx  p dy <k p  ∞ −∞ | x | p1r−1 f p  x  dx. 3.2 Inequalities 3.1 and 3.2 are equivalent, and where the constant factors k and k p are the...

Ngày tải lên: 21/06/2014, 07:20

... independently from the past samples, and the output symbol is then formed as the sum of a uniformly randomly chosen subset of size d of the input symbols. Let Ω 1 , Ω 2 , ,Ω d c be the distribution ... point. The same study with similar results has been conducted in [5], but for a different set of equations since the authors used the evolution of the mean of...

Ngày tải lên: 21/06/2014, 22:20

... 3.3 and 3.4 in the following. In order to compress the length of the paper, the proof for Corollaries 3.3 and 3.4 are here omitted. 6 Journal of Inequalities and Applications If (2.6) takes the ... Yang and T. M. Rassias, “On the way of weight coefficient and research for the Hilbert- type inequalities,” Mathematical Inequalities & Applications, vol. 6, no....

Ngày tải lên: 22/06/2014, 18:20

... ∈ ω  0 M, A, p, ·, ,·, and this completes the proof. Acknowledgments The author wishes to thank the referees for their careful reading of the paper and for their helpful suggestions. References 1 ... properly cited. The aim of this paper is to introduce and study some new double sequence spaces with respect to an Orlicz function, and also some properties of...

Ngày tải lên: 21/06/2014, 05:20

... d,wedenoteby2 X the collection of all nonempty subsets of X,by Cl d −1 X the collection of all nonempty τ d −1 -closed subsets of X,andbyCl d s X the collection of all nonempty τ d s -closed subsets of ... authors thank one of the reviewers for suggesting the inclusion of a concrete example to which Theorem 3.3 applies. They acknowledge the support of the...

Ngày tải lên: 21/06/2014, 05:20

... pages doi:10.1155/2010/315398 Research Article Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings Mohamed A. Khamsi 1, 2 1 Department of Mathematical Science, The University of Texas at ... ω  x   , 3.4 Fixed Point Theory and Applications 3 The basic properties of convergent and Cauchy sequences may be found at 1.In fact the proper...

Ngày tải lên: 21/06/2014, 17:20

... authors thank one of the reviewers for suggesting the inclusion of a concrete example to which Theorem 3.3 applies. They acknowledge the support of the Spanish Ministry of Science and Innovation, ... ∈ Tz. On the other hand, Bianchini and Grandolfi proved in 29 the following fixed point theorem. Theorem 3.2 Bianchini and Grandolfi 29. Let X, d be a complete me...

Ngày tải lên: 21/06/2014, 17:20

... improve some of the conditions and results in the mentioned papers, especially those of Song and Xu 11. 2. Preliminaries Let S : {x ∈ X : x  1} be the unit sphere of the Banach space X. The space ... inequalities. But the fixed point formulation in 1.4 involves the projection P C , which may not be easy to compute, due to the complexity of the convex set...

Ngày tải lên: 21/06/2014, 11:20

... steps in the estimation of the label set of x using the DMLkNN and MLkNN algorithms applied to the test data. For the sake of clarity we recall some definitions of events already given above. The membership counting ... clustering of the instances corresponding to each possible class; the prototype vectors of the first-layer basis functions are then set to t...

Ngày tải lên: 21/06/2014, 05:20

... and Applications Proof. Since T n  T n mod N and {T 1 ,T 2 , ,T N } is a sequence of nonexpansive mappings from C to C, so, the proof of this theorem is similar t o Theorems 2.1 and 2.2. The ... P Q  Ax    :  x  ≤ ρ  < ∞. 3.11 Fixed Point Theory and Applications 9 By the position 2.2 8, we see that the fixed point set of U,FixU, is the common fixed p...

Ngày tải lên: 21/06/2014, 11:20