Báo cáo hóa học: " ON A FIXED POINT THEOREM OF KRASNOSEL’SKII TYPE AND APPLICATION TO INTEGRAL EQUATIONS" ppt

... continuous and U n satisfies contraction -type conditions. Furthermore, applications to integral equations in a Banach space were presented. On the basis of the ideas and techniques in [2, 6], we consider ... 2.1,theoperatorU + C has a fixed point y in X.Then(5.1)hasa solution x = y + ξ on (0,∞). The result follows.  2 On a fixed point theorem and application o...

Ngày tải lên: 22/06/2014, 22:20

... (1980) 5. Gantmacher, FR: The Theory of Matrices, Volume I and II. Chelsea (1959) 6. Datta, BN: Numerical Linear Algebra and Applications. Cole Publishing Company (1995) 7. Dassios, IK: Solutions of ... linear matrix differential equations for consistent and non- consistent initial conditions: regular case. ISRN Math Anal 2011 14 (2011). Article ID 183795 8. Kalogeropoulos, GI, Psar...

Ngày tải lên: 20/06/2014, 22:20

... “Some remarks concerning D-metric spaces,” in Proceedings of the International Conference on Fixed Point Theory and Applications, pp. 189–198, Yokohama, Yokohama, Japan, 2004. 4 Z. Mustafa and B. ... Obiedat, and F. Awawdeh, “Some fixed point theorem for mapping on complete G- metric spaces,” Fixed Point Theory and Applications, vol. 2008, Article ID 189870, 12 page...

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... basis above, noting that  l and δ l are decomposable and that |d l |=|z l | +1 and |δ l |=|y l |.Nowδ l may contain a term of the form u a y a t ,whereu a is a rational and a ≥ 2. Thus the only possible ... and (5.6)yields u n l a y an l t = a lt y n t t . (5.8) 2 Duan’s fixed point theorem: proof and generalization Hopf-Leray-Samelson theorem on the rati...

Ngày tải lên: 22/06/2014, 22:20

... Theory and Applications 13 L. Ciric, N. Caki ´ c, M. Rajovi ´ c, and J. S . Ume, “Monotone generalized nonlinear c ontractions in partially ordered metric spaces,” Fixed Point Theory and Applications, ... definition of partial metric space, Matthews proved the partial metric version of Banach fixed point theorem. Then, Valero 2, Oltra and Valero 3,andAltunetal.4 gave...

Ngày tải lên: 21/06/2014, 07:20

... metric spaces and application to ordinary differential equations,” Fixed Point Theory and Applications,vol. 2010, Article ID 916064, 14 pages, 2010. 16 J. Harjani and K. Sadarangani, Fixed point theorems ... 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. Sad...

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... 4 Fixed Point Theory and Applications Clearly, the class of weakly q-contractive maps contains the class of weakly contractive maps, and the class of generalized q-contractive maps contains ... Point Theory and Applications, vol. 2, no. 2, pp. 169–175, 2007. 7 S. Al-Homidan, Q. H. Ansari, and J C. Yao, “Some generalizations of Ekeland -type variational principle with...

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... Rassias, On the stability of functional equations and a problem of U lam,” Acta Applicandae Mathematicae, vol. 62, no. 1, pp. 23–130, 2000. 13 Z. Daroczy and Z. Pales, Eds., Functional Equations—Results ... equations,” Journal of Mathematical Analysis and Applications, vol. 328, no. 1, pp. 109–118, 2007. 18 L. C ˘ adariu and V. Radu, Fixed points and the stability of...

Ngày tải lên: 22/06/2014, 06:20

... consists of a nonempty topological space X and a family C of subsets of X such that X and φ belong to C, and C is closed under arbitrary intersection. Let X, C be an abstract convex space, and ... 1996. 5 A. Meir and E. Keeler, A theorem on contraction mappings,” Journal of Mathematical Analysis and Applications, vol. 28, pp. 326–329, 1969. 6 I. A. Rus,...

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... arrhythmia and heart attacks someday [2]. The Duffing equation is a mathemati cal representation of the oscillator. Both the equation and oscillator are prone to many output waveforms. One of the ... 2011:47 http://www.boundaryvalueproblems.com/content/2011/1/47 Page 2 of 11 Authors’ contributions Both authors, AA and MHA, contributed to each part of this work equally and...

Ngày tải lên: 20/06/2014, 22:20