Báo cáo hóa học: " Research Article A Generalisation of Contraction Principle in Metric Spaces" pot

... 1.1 According to the contraction mapping principle, any mapping T satisfying 1.1 will have a unique fixed point. Generalisation of the above principle has been a heavily investigated branch of research. ... Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2008, Article ID 406368, 8 pages doi:10.1155/2008/406368 Research Article A Generalisa...

Ngày tải lên: 21/06/2014, 23:20

... T-stable. For example, Theorems 1 and 2 of 4 and Theorem 1 of 5 are special cases of Corollary 1. We will not examine the analogues of Theorem 1 for Mann, Ishikawa, Kirk, or any other iteration ... Applications References 1 Q. Liu, A convergence theorem of the sequence of Ishikawa iterates for quasi-contractive mappings,” Journal of Mathematical Analysis and Applications,...

Ngày tải lên: 21/06/2014, 22:20

... Rhoades 2 1 Department of Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China 2 Department of Mathematics, Indiana University, Bloomington, IN 47405-7106, USA Correspondence ... Ishikawa iterates for quasi-contractive mappings,” Journal of Mathematical Analysis and Applications, vol. 146, no. 2, pp. 301–305, 1990. 2 B. E. Rhoades, A comparison...

Ngày tải lên: 22/06/2014, 00:20

... 2 Journal of Inequalities and Applications of Banach spaces as found in 7, 8. Similar statements related to functionals in finite- dimensional spaces and countable dimensional spaces have been ... Bulgarian Mathematicians, Albena, Bulgaria, April 1989. Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2010, Article ID 643768, 6 pages doi:10.1155/2010/...

Ngày tải lên: 21/06/2014, 07:20

... determine the quality of separation. EURASIP Journal on Advances in Signal Processing 5 Table 4 (a) Error in estimated number of ICs using G, and using rank of the matrix, Mean and Standard deviation ... that there is a significant improvement of quality of separation of the ICs when this approach is used. 2. Global Matrix Parameters of ICA The hypothesis of this rese...

Ngày tải lên: 21/06/2014, 19:20

... ∈ int A and consider a x ∈ Tu such that dx, a x distx, Tu and p a limit point of {I n a x }. Take y ∈ I x ∩ A. Then, repeating the same reasoning as above, p  a x and so a x is a ... Applications Volume 2010, Article ID 204981, 14 pages doi:10.1155/2010/204981 Research Article Common Fixed Points for Multimaps in Metric Spaces Rafa Esp ´ ınola 1 and Nawab...

Ngày tải lên: 21/06/2014, 20:20

... Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID 401428, 11 pages doi:10.1155/2011/401428 Research Article A Hilbert-Type Integral Inequality in ... parameters,” Advances in Mathematics, vol. 36, no. 2, pp. 189–202, 2007. 7 B. C. Yang, “On the norm of a Hilbert’s type linear operator and applications,” Journal of Mathematica...

Ngày tải lên: 21/06/2014, 05:20

... concerning a class of random variational inequalities and random quasivariational inequalities,” Journal of Mathematical Research and Exposition, vol. 9, no. 3, pp. 385–393, 1989. 12 N. J. Huang, ... random quasi-variational inequalities,” Far East Journal of Mathematical Sciences, vol. 2, no. 1, pp. 35–55, 1994. 15  K K. Tan, E. Tarafdar, and X Z. Yuan, “Random variational ineq...

Ngày tải lên: 21/06/2014, 07:20

... yield m 1−1/p ⎛ ⎝ n  j1  m  i1 a q ij  p/q ⎞ ⎠ 1/p ≥ m  i1 ⎛ ⎝ n  j1 a p ij ⎞ ⎠ 1/p , 2.17 as desired. Case 4 0 <q≤ p<1. The proof can be obtained from those of Case 1, by replacing “≥”with “≤” in each related inequality. Journal of Inequalities and Applications 9 Corollary ... converse of the inequality of Ingham and Jessen see also a recent paper 5 for...

Ngày tải lên: 21/06/2014, 07:20

... Kurdyumov, and A. A. Samarski ˘ ı, A parabolic system of quasilinear equations. I,” Differentsial’nye Uravneniya, vol. 19, no. 12, pp. 2123–2140, 1983. 13 V. A. Galaktionov, S. P. Kurdyumov, and A. A. ... Journal of Mathematical Analysis and Applications, vol. 185, no. 1, pp. 161–174, 1994. 34 S. Zheng and L. Kong, “Roles of weight functions in a nonlinear nonlocal paraboli...

Ngày tải lên: 21/06/2014, 11:20