Báo cáo hóa học: " Research Article Fixed Point Methods for the Generalized Stability of Functional Equations in a Single Variable" ppt

... by Andrzej Szulkin We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional equations, ... 2008, Article ID 749392, 15 pages doi:10.1155/2008/749392 Research Article Fixed Point Methods for the Generalized Stability of Functional Equ...

Ngày tải lên: 22/06/2014, 06:20

... points measured and we expressed the minimum and maximum of the ranges as ratios r min and r max of the average ICI in each case. The observed performance indicates that these confidence interval ... via Monte Carlo simulations. All of our evaluations are performed on synthetic data generated in the MATLAB technical computing environment to allow a straightforward evaluat...

Ngày tải lên: 22/06/2014, 23:20

... space, Matthews proved the partial metric version of Banach fixed point theorem. Then, Valero 2, Oltra and Valero 3,andAltunetal.4 gave some generalizations of the result of Matthews. Again, ... Harjani and K. Sadarangani, Generalized co ntractions in partially ordered metric spaces and applications to ordinary differential equations, ” Nonlinear Analysis: Theory, Methods...

Ngày tải lên: 21/06/2014, 07:20

... pages, 2010. 16 J. Harjani and K. Sadarangani, Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear Analysis. Theory, Methods & Applications, vol. 71, ... E there exists cx, y ∈ E which is comparable to x and y.Noticethat ii implies that B is increasing. 10 Fixed Point Theory and Applications 15 J. Caballero, J. Harjani, and K. Sa...

Ngày tải lên: 21/06/2014, 07:20

... 1965. 10 A. Ben Amar and J. Garcia-Falset, Fixed point theorems for 1-set weakly contractive and pseudocontractive operators on an unbounded domain,” to appear in Portugaliae Mathematica. 11 A. ... Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 3 Department of Mathematics, National University of Ireland, Galway, Ireland 4 Universit ´...

Ngày tải lên: 21/06/2014, 11:20

... spaces,” International Journal of Mathematics and Mathematical Sciences, vol. 2009, Article ID 283028, 10 pages, 2009. 6 J. Matkowski, Fixed point theorems for mappings with a contractive iterate at a point, ” Proceedings ... on Fixed Point Theory and Applications, pp. 189–198, Yokohama, Yokohama, Japan, 2004. 4 Z. Mustafa and B. Sims, Fixed point theorems for contr...

Ngày tải lên: 21/06/2014, 17:20

... Functional Analysis: Fixed Point Theory and Its Application, Yokohama Publishers, Yokohama, Japan, 2000. 8 L J. Lin and W S. Du, “Some equivalent formulations of the generalized Ekeland’s variational principle ... metric spaces,” Demonstratio Mathematica, vol. 41, no. 1, pp. 145–150, 2008. 10 A. Latif and A. A. N. Abdou, Fixed points of generalized contractive maps,”...

Ngày tải lên: 21/06/2014, 20:20

... has a unique random fixed point. Proof. As in the proof of the theorem, the mapping T has a unique fixed point for each ω ∈ Ω. The rest of the proof follows the proof of the theorem with the appropriate ... each ω ∈ Ω.ThenT has a unique random fixed point. Proof. For each ω ∈ Ω, the mapping T 2 has a unique fixed point, ξω, which is also the unique...

Ngày tải lên: 21/06/2014, 20:20

... PN-space—II,” Bulletin of the Australian Mathematical Society, vol. 73, no. 2, pp. 169–173, 2006. 13 C. Zhu and Z. Xu, A class of random operator equations in the Hilbert space,” Acta Mathematica Sinica, vol. ... solutions of equations for locally condensing mapping and locally accretive mapping. In 1991, based on the results obtained by others, the author defined se...

Ngày tải lên: 21/06/2014, 23:20

... Press, Cluj-Napoca, Romania, 2001. 7 A. Amini, M. Fakhar, and J. Zafarani, Fixed point theorems for the class S-KKM mappings in abstract convex spaces,” Nonlinear Analysis: Theory, Methods & Applications, ... theorem,” Mathematische Annalen, vol. 142, pp. 305–310, 1961. 3 A. Amini, M. Fakhar, and J. Zafarani, “KKM mappings in metric spaces,” Nonlinear Analysis: Theory,...

Ngày tải lên: 22/06/2014, 11:20