fixed finite and infinite length lookbehind

... bipartite FINITE AND INFINITE ARITHMETIC PROGRESSIONS IN SUMSETS if its vertex set can be partitioned into two sets V1 and V2 such that every edge has one end point in V1 and one end point in V2 (V1 and ... conditions (∗) and (∗∗) must hold: (∗) yt + l1 > l1 or zt − l2 ≤ (∗∗) yt − l1 ≤ or zt + l2 > l2 FINITE AND INFINITE ARITHMETIC PROGRESSIONS IN SUMSETS Since l1 < a2 ≤ l1 /2, yt + l1 > l1 and yt − ... needed FINITE AND INFINITE ARITHMETIC PROGRESSIONS IN SUMSETS 11 We have that |Yi | = nt and |Yi + Yj | ≤ 2.1nt for all ≤ i < j ≤ h We are now in position to invoke an inverse statement and at...

Ngày tải lên: 29/03/2014, 07:20

... discrete-time systems (Zheng et al., 1990; Kurek and Zaremba, 1993; Fang and Chow, 1998; Fang et al., 2002) and continuous-time systems (Chow and Fang, 1998; Chow and Fang, 1998) The basic idea is to set ... controller and PID controller were proposed in (Kim et al., 1993) and (Kim et al., 1993) respectively Neural network schemes (Cetinkunt and Domez, 1993; Lee and Kim, 1994; Selmi´ and c Lewis, ... and yi (1) is first derived in Part A Assume ui(k) and yi (k + 1) converge to ud (k) and yd (k + 1) respectively, where k = 0, · · · , n and ≤ n ≤ N − Part B shows the convergece of ui (n+1) and...

Ngày tải lên: 17/09/2015, 17:17

... domains of finite type and n = 2; (c) Ω is a convex domain of finite type; (d) Ω is a pseudoconvex Reinhardt domains of finite type; (e) Ω is a pseudoconvex domain of finite type (or of infinite ... large class of infinite type pseudoconvex domains that satisfy an f -properties [17, 16] For example (see [17]), the log1/α -property holds for both the complex ellipsoid of infinite type   ... domains of finite type through the lens of the f -property [6, 7], Ω is of finite if and only if there exists an > such that the t -property holds If domain is reduced to be convex of finite type...

Ngày tải lên: 12/10/2015, 10:45

Ngày tải lên: 13/12/2013, 05:15

... when n = 2; it has been proved for n = by Davenport and Heilbronn [7] in case K = Q, and by Datskovsky and Wright in general [6]; and for n = 4, and K = Q by Bhargava [3], [2] A weaker version of ... unless either |H| = 2, or |Q| = |H| and |H| = 3, In case |Q| = 2, |H| = 4, the group G is nilpotent and Proposition 2.8 is proved by Kl¨ners and Malle u On the other hand, NK (X 1/|H| , Q)X p/(p−1)|G| ... fixed degree and bounded discriminant By Jordan S Ellenberg and Akshay Venkatesh* Abstract We give an upper bound on the number of extensions of a fixed number field of prescribed degree and discriminant...

Ngày tải lên: 06/03/2014, 08:21

Ngày tải lên: 24/04/2014, 17:21

Ngày tải lên: 12/06/2014, 16:12

... Yao, JC: Fixed point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces Taiwanese J Math 15, 457–472 (2011) [6] Kocourek, P, Takahashi, W, Yao, JC: Fixed point theorems and weak ... Functions for Fixed Points Computation and Infinite Dimensional Optimization Kluwer Academic Publishers, The Netherlands (2000) [10] Cior˜nescu, I: Geometry of Banach Spaces, Duality Mappings and Nonlinear ... represent h and k by h = 0.5 + a, where − 0.5 ≤ a ≤ 0.5, k = 0.5 + b, where − 0.5 ≤ b ≤ 0.5 and Then, we have (h2 − k )2 − (h − k)2 = (a − b)2 (a + b)(a + b + 2) If h+k > 0.5, then a + b > 0, and so...

Ngày tải lên: 18/06/2014, 22:20

... Yao, JC: Fixed point theorems and ergodic theorems for nonlinear mappings in Hilbert spaces Taiwanese J Math 15, 457–472 (2011) [6] Kocourek, P, Takahashi, W, Yao, JC: Fixed point theorems and weak ... Functions for Fixed Points Computation and Infinite Dimensional Optimization Kluwer Academic Publishers, The Netherlands (2000) [10] Cior˜nescu, I: Geometry of Banach Spaces, Duality Mappings and Nonlinear ... represent h and k by h = 0.5 + a, where − 0.5 ≤ a ≤ 0.5, k = 0.5 + b, where − 0.5 ≤ b ≤ 0.5 and Then, we have (h2 − k )2 − (h − k)2 = (a − b)2 (a + b)(a + b + 2) If h+k > 0.5, then a + b > 0, and so...

Ngày tải lên: 20/06/2014, 04:20

... lengthening procedures of the Achilles, two lengthening procedures and three corrective osteotomies of the tibia in patient and two lengthening procedures of the femur and of the tibia in patient Circular ... [3] Lengthening procedures have gained more popularity cause to recent advances in surgical techniques and better understanding of biologic and biomechanical features of fibular hemimelia Lengthening ... Residual malformations and leg length discrepancy Residual malformations, problems and leg length discrepancy after treatment at the end of the follow-up *: Right **: Left ***: Leg Length Discrepancy...

Ngày tải lên: 20/06/2014, 07:20

... generalize and strengthen Theorem 1.2 and the results due to Dotson [15], Jungck and Sessa [16], Lami Dozo [17] and Latif and Tweddle [18] We also extend and unify well-known results on fixed points and ... [1] and Pant [2], respectively A point x in M is said to be a common fixed point (coincidence point) of f and T if x = fx Î Tx (fx Î Tx) We denote by F(f) and F(T) the set of fixed points of f and ... or X is an Opial’s space Then, f and T have a common fixed point Page of Al-Mezel Fixed Point Theory and Applications 2011, 2011:99 http://www.fixedpointtheoryandapplications.com/content/2011/1/99...

Ngày tải lên: 20/06/2014, 21:20

... generalize and strengthen Theorem 1.2 and the results due to Dotson [15], Jungck and Sessa [16], Lami Dozo [17] and Latif and Tweddle [18] We also extend and unify well-known results on fixed points and ... [1] and Pant [2], respectively A point x in M is said to be a common fixed point (coincidence point) of f and T if x = fx Î Tx (fx Î Tx) We denote by F(f) and F(T) the set of fixed points of f and ... or X is an Opial’s space Then, f and T have a common fixed point Page of Al-Mezel Fixed Point Theory and Applications 2011, 2011:99 http://www.fixedpointtheoryandapplications.com/content/2011/1/99...

Ngày tải lên: 20/06/2014, 21:20

... for a generalized equilibrium problem and system of variational inequalities problem and infinite family of strict pseudo-contractions Fixed Point Theory and Applications 2011 2011:23 Page 16 ... )Txn (1:8) Kangtunyakarn Fixed Point Theory and Applications 2011, 2011:23 http://www.fixedpointtheoryandapplications.com/content/2011/1/23 Page of 16 converges weakly to a fixed point of T provided ... strongly monotone and let Gi : C ® C be defined by Gi(y) = PC(I - liAi)y, ∀y Î C with Kangtunyakarn Fixed Point Theory and Applications 2011, 2011:23 http://www.fixedpointtheoryandapplications.com/content/2011/1/23...

Ngày tải lên: 21/06/2014, 01:20

... al Fixed Point Theory and Applications 2011, 2011:25 http://www.fixedpointtheoryandapplications.com/content/2011/1/25 Page 11 of 14 and S is an affine mapping If cl(Y - {q}) is compact and S and ... ordered metric space and T, f, and g be selfmaps on Y Suppose that T is continuous, cl(T(Y )) is compact and f and g are affine and continuous and T(Y ) ⊂ f(Y ) ∩g(Y ) Let (T, f) and (T, g) be partially ... space X, T, f, and g be selfmaps on X such that u is common fixed point of f, g, and T and T (∂M ∩ M) ⊂ M Suppose that f and g are continuous and affine on PM (u), q Î Fix(f ) ∩ Fix(g), and PM (u)...

Ngày tải lên: 21/06/2014, 01:20

... and Jsn I sn W −1 , {rn } is a sequence where u ∈ C is a fixed element, Jrn in 0, 2α , {sn } is a sequence in 0, 2β and {αn }, {βn }, {γn }, and {δn } are sequences in 0, Fixed Point Theory and ... −1 and Js ≤ r−x Jr x − Js x, Jr x − x , r I sM −1 ∀s, t > 0, x ∈ H, 1.14 Main Results Theorem 2.1 Let H be a real Hilbert space H and C a nonempty close and convex subset of H Let M : H → 2H and ... Hilbert spaces The results presented in this paper improve and extend the corresponding results announced by Iiduka and Takahashi and Y Yao and J.-C Yao 31 In order to prove our main results, we...

Ngày tải lên: 21/06/2014, 05:20

... S C Bose and S K Laskar, Fixed point theorems for certain class of mappings,” Journal of Mathematical and Physical Sciences, vol 19, no 6, pp 503–509, 1985 D Downing and W A Kirk, Fixed point ... semicontinuous and S z for every z ∈ Za C, {xn } is a compact convex set we can apply the Kakutani-Bohnenblust-Karlin Theorem in to obtain a fixed point for S z and hence for T Fixed Point Theory and Applications ... 2 Fixed Point Theory and Applications We present new definitions of asymptotic center and asymptotic radius that is for a mapping and obtain new results Definition...

Ngày tải lên: 21/06/2014, 11:20

... stable if and only if 1.3 is iii t a h s ds −→ ∞, as t −→ ∞ 1.9 Fixed Point Theory and Applications Theorem 1.3 Burton Suppose that r t r, a constant Let f be odd, increasing on 0, L , and satisfies ... comparison,” Fixed Point Theory, vol 4, no 1, pp 15–32, 2003 B Zhang, Fixed points and stability in differential equations with variable delays,” Nonlinear Analysis: Theory, Methods and Applications, ... 2 Fixed Point Theory and Applications Many authors have investigated the special cases of 1.1 and 1.2 Since Burton used fixed point theory to investigate...

Ngày tải lên: 21/06/2014, 11:20

... Burton, Fixed points and stability of a nonconvolution equation,” Proceedings of the American Mathematical Society, vol 132, no 12, pp 3679–3687, 2004 T A Burton and T Furumochi, Fixed points and ... t , and c2 t e t Thus, we know that 2.7 includes 2.1 , 2.3 , and 2.5 as special cases Our aim here is to generalize Theorems B and C to 2.7 Theorem 2.1 Suppose that τj is differential, and there ... s bj s − qj s H s ds n cj s ds ≤ α2 ε < j 2.19 Fixed Point Theory and Applications For any x, y ∈ S, it follows from 2.13 , conditions i and ii , and Doob’s Lp -inequality see 10 that px s − py...

Ngày tải lên: 21/06/2014, 23:20

... space E, τ and let T, f, and g be selfmaps of M Suppose that f and g are affine and nonexpansive with q ∈ F f ∩ F g , and T M ⊂ f M ∩ g M If the pairs {T, f} and Fixed Point Theory and Applications ... Hussain and Jungck , Hussain and Khan , Hussain and Rhoades , Jungck and Sessa 13 , Khan and Akbar 19, 20 , Pathak and Hussain 21 , Sahab et al 12 , Sahney et al 26 , Singh 11, 27 , Tarafdar , and ... space E, τ and let T, f, and g be selfmaps of M Suppose that f and g are affine and nonexpansive with q ∈ F f ∩ F g , and T M ⊂ f M ∩ g M If the pairs {T, f} and {T, g} are subcompatible and T is...

Ngày tải lên: 22/06/2014, 11:20

... 14 Fixed Point Theory and Applications 22 J M Rassias, “Solution of a problem of Ulam,” Journal of Approximation Theory, vol 57, no 3, pp 268–273, 1989 23 L C˘ dariu and V Radu, Fixed points and ... to the proofs of Theorems 2.3 and 4.2 Choonkil Park 11 Corollary 4.5 Let r > and θ be nonnegative real numbers, and let f : A → B be a mapping satisfying 2.25 and 4.5 Then there exists a unique ... is similar to the proofs of Theorems 2.3 and 5.2 Corollary 5.5 Let r > and θ be nonnegative real numbers, and let f : A → A be a mapping satisfying 3.7 and 5.5 Then there exists a unique Lie...

Ngày tải lên: 22/06/2014, 11:20