Báo cáo hóa học: " DUAN’S FIXED POINT THEOREM: PROOF AND GENERALIZATION" potx

... of φ E which are 1 if and only if L( f ) = 0. 8 Duan’s fixed point theorem: proof and generalization Using this theorem, we now prove Theorem 3.1. Proof. We fix l,1 ≤ l ≤ s,andwriteφ(z l ) as a ... = v, f ∗2 (v) =−u and f ∗4 (uv) =−uv,andsoL( f ) = 0. 6 Duan’s fixed point theorem: proof and generalization 4. Theta spaces In this section we will use Theorem 3.1 to extend...

Ngày tải lên: 22/06/2014, 22:20

... nonexpansive). Nanan and Dhompongsa Fixed Point Theory and Applications 2011, 2011:54 http://www.fixedpointtheoryandapplications.com/content/2011/1/54 Page 3 of 10 RESEARC H Open Access A common fixed point ... and T commute, then Fix(t) ∩ Fix(T) ≠ ∅. Nanan and Dhompongsa Fixed Point Theory and Applications 2011, 2011:54 http://www.fixedpointtheoryandapplications.com/con...

Ngày tải lên: 20/06/2014, 22:20

... Corporation Fixed Point Theory and Applications Volume 2006, Article ID 30847, Pages 1–24 DOI 10.1155/FPTA/2006/30847 L.T.P.NgocandN.T.Long 3 Theorem 2.1. Let (X, |·| n ) be a Fr ´ echet space and let ... Modern Analysis, Academic Press, New York, 1969. [6] L.H.HoaandK.Schmitt ,Fixed point theorems of Krasnosel’skii type in locally convex spaces and applications to integral equat...

Ngày tải lên: 22/06/2014, 22:20

... self-map of X such that given n ∈ N 0 and x, y ∈ X, (x, y) ∈ R n =⇒ (Fx,Fy) ∈ R n+1 , (1.1) then F has a unique fixed point x ∗ and (F n x, x ∗ ) ∈ R n for each x ∈ X and n ∈ N 0 . (The letter N 0 denotes ... derived from ET. Proof. By Theorem 3.1,amappingF is a Banach contraction with respect to some bounded and complete metric. Then the diameters of sets F n (X)tendto0andF has a fi...

Ngày tải lên: 23/06/2014, 00:20

... x n k ) , Chen Fixed Point Theory and Applications 2011, 2011:72 http://www.fixedpointtheoryandapplications.com/content/2011/1/72 Page 5 of 8 In 1989, Mizoguchi-Takahashi [4] proved the following fixed point ... springeropen.com Chen Fixed Point Theory and Applications 2011, 2011:72 http://www.fixedpointtheoryandapplications.com/content/2011/1/72 Page 8 of 8 for all x, y Î X....

Ngày tải lên: 20/06/2014, 22:20

... general and in particular of a multistandard decoder is a challenging task in view of the flexibility demanded to its architecture and because of the practical restrictions on chip area and power consumption. The ... slowest standards and only with high degrees of parallelism (and so with increased power consumption). For this reason, this paper develops an accurate fixed- point mode...

Ngày tải lên: 21/06/2014, 05:20

... theorems on ordered metric spaces and application,” Fixed Point Theory and Applications, vol. 2010, Article ID 621469, 17 pages, 2010. 12 I. Beg and A. R. Butt, Fixed point for set-valued mappings ... fuzzy metric spaces and some fixed p oint results,” Fixed Point Theory and Applications, vol. 2010, Article ID 782680, 11 pages, 2010. 18 I. Altun and M. Imdad, “Some fi...

Ngày tải lên: 21/06/2014, 07:20

... metrical fixed point theoremml: theoretical and applicative relevances,” Fixed Point Theory, vol. 9, no. 2, pp. 541–559, 2008. 14 I. A. Rus, A. Petrus¸el, and G. Petrus¸el, Fixed Point Theory, ... 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. Sa...

Ngày tải lên: 21/06/2014, 07:20

... theorem improves/generalizes the results of 5, Theorems 1, 3, and 4 and 4, Theorems 2.3, 2.6, 2.7, and 2.8. 4 Fixed Point Theory and Applications which implies d  x 2k2 ,x 2k3  ≤ Gd  x 2k1 ,x 2k2  , ... Damjanovi ´ c, and D. Djori ´ c, Fixed point and common fixed point theorems on ordered cone metric spaces,” Applied Mathematics Letters, vol. 23, no. 3, pp. 31...

Ngày tải lên: 21/06/2014, 10:20

... →∞ k  t n−1  λ<λ, 2.13 8 Fixed Point Theory and Applications 6 A. Latif, “A fixed point result in complete metric spaces,” JP Journal of Fixed Point Theory and Applications, vol. 2, no. ... Corporation Fixed Point Theory and Applications Volume 2011, Article ID 178306, 8 pages doi:10.1155/2011/178306 Research Article Fixed Point Results in Quasimetric Spaces Ab...

Ngày tải lên: 21/06/2014, 11:20