errors consistency stability compatibility and convergence

... evolving on another, and in general distinct, complete metric space W, d see Assumptions and 10 Some boundedness and convergence properties of the iterative process 4.1 are formulated and proven in ... contraction on C Assumption , and Q is a self-mapping on W satisfying Assumption Since αk → 0, δk → and εk → as k → ∞ from Assumptions 1 and and K1 is finite, ρk → as k → ∞ and |ρk | ≤ ρ k0 ; for all ... decreasing on R and to global stability stated essentially in terms of uniform boundedness of the sequence {xk } if it is monotonically decreasing on R The links between Lyapunov’s stability and fixed...

Ngày tải lên: 21/06/2014, 20:20

... float let rand = new Random() let getRandomQuantity() = match rand.Next(1) with | -> Quantity.Discrete (rand.Next()) | _ -> Quantity.Continuous (rand.NextDouble() * float_of_int (rand.Next())) ... path>";; command, 307 #if FLAG command, 119 #import command, 342 #light declaration, 21 #load "." "";; command, 308 #nowarn 51 command, 337 #quit;; command, 308 #r " EasyQuantity.Discrete (rand.Next()) | _ -> EasyQuantity.Continuous (rand.NextDouble() * float_of_int (rand.Next())) This will...

Ngày tải lên: 05/10/2013, 10:20

... have led to multiple options for deployment Figure details all released HDSL module versions and their compatibility to other modules Figure indicates which modules are compatible with the HDSL ... HLXC 319 A1 COMPATIBLE HLXC D1 HLXC 220 B1 HLXC 319 B1 Figure Released HDSL module versions and their compatibility to other modules CENTRAL OFFICE SONEPLEX CHASSIS REMOTE SITE HLXR D1 HLXR D2 ... SIMPLEX (NO DS1 IDLE SIGNAL) COMPATIBLE Figure Modules compatible with the HDSL repeater HDSL Compatibility and CSU Power Options Application Note 1218 CSU Power Options Powering a customer premises...

Ngày tải lên: 17/01/2014, 09:20

... food and drug biosynthesis applications; (g) enzyme immobilization may increase heat stability and therefore, improve biocatalyst performance; and (h) protein engineering by rational design and ... hydrophilicities and charges at given environmental conditions, such as temperature, concentration, ionic strength and pH Thus, the diverse chemical and physical properties of proteins and surfaces ... Strategies for enhancing thermal stability and activity of hyperthermozymes Enzyme encapsulation has the potential to provide a microenvironment that increases thermal stability and facilitates enzymatic...

Ngày tải lên: 07/03/2014, 05:20

... Physics 24 (2008) 133-143 136 • (a) If −1 < δ < 0, then zn > and ∆zn < eventually • (b) If δ < −1 and ∞ [ r αi (ℓ)] = ∞, then zn < and ∆zn ℓ=1 i=1 eventually Proof (a) Since αi (n) ≡ 0, we have ... we obtain zn < and ∆zn On the other hand, we have zn > δxn−τ or xn−τ > zn , which implies that xn−mi > zn+τ −mi Hence, δ δ − δ ∆zn Setting = zn+1 zn r αi (n)zn+τ −mi (20) i=1 and dividing (20) ... (1996) [3] I G E Kordonis and C G Philos, Oscillation of neutral difference equation with periodic coefficients, Computers Math Applic Vol 33 (1997) [4] B S Lalli and B G Zhang and J Z Li, On the oscillation...

Ngày tải lên: 14/03/2014, 13:20

Ngày tải lên: 23/03/2014, 21:20

... M Struwe [24] to establish global existence and exponential convergence for the Ricci flow on compact surfaces, and by X Chen and G Tian [7] to prove convergence of the K¨hler-Ricci flow on K¨hler-Einstein ... arguments to deduce global existence and convergence for a natural sixth order flow on surfaces The approach used in [6] and [24] is based on integral estimates and 328 SIMON BRENDLE does not rely ... the functional Ef [w] is given by ∂ Qf g =− Q− ∂t f g Here, Q and f denote the mean values of Q and f respectively, i.e M (Q − Q) dV = and M (f − f ) dV = This evolution equation preserves the conformal...

Ngày tải lên: 28/03/2014, 22:20

... space, and A1, A2, M1 and M2 be the same as in Theorem 3.5, and let T be a -Lipschitz continuous mapping Assume that Ω ∩ F(T) ≠ ∅, {a n } and {b n } are sequences in [0, 1] and satisfy the Chen and ... Banach space, and A1, A2, M1 and M2 be the same as in Theorem 3.4, and let T be a -Lipschitz continuous mapping Assume that Ω ∩ F(T) ≠ ∅, {an} and {bn} are sequences in [0, 1] and satisfy the ... constants, and (x*, y*) Î E × E Then (x*, y*) is a solution of the problem (2.1) if and only if Chen and Wan Journal of Inequalities and Applications 2011, 2011:49 http://www.journalofinequalitiesandapplications.com/content/2011/1/49...

Ngày tải lên: 21/06/2014, 00:20

... Let {xn}, C and X be as in Proposition 4.1 Then, A({xn}) and A(C, {xn}) are singletons Zhang and Cui Fixed Point Theory and Applications 2011, 2011:39 http://www.fixedpointtheoryandapplications.com/content/2011/1/39 ... hyperbolic type in the sense of Goebel and Kirk [16] (W4) was already considered by Itoh [19] under the name “condition III”, and it is used by Reich and Shafrir [17] and Kirk [15] to define their notions ... x, y Î X and l Î [0, 1], d(x, (1 − λ)x ⊕ λy) = λd(x, y) and d(y, (1 − λ)x ⊕ λy) = (1 − λ)d(x, y) As a consequence, 1x⊕0y = x, 0x⊕1y = y and (1 - l)x⊕lx = lx⊕(1 - l)x = x (2:1) Zhang and Cui Fixed...

Ngày tải lên: 21/06/2014, 00:20

... is taken in C arbitrarily, and {an} and {bn} are sequences in the interval [0, 1] In 2011, Khan and Abbas [22] modified (1.1) and (1.2) for two nonexpansive mappings S and T in CAT(0) spaces as ... Bruhat and Tits [10] In fact, a geodesic space is a CAT(0) space if and only if it satisfies the (CN) inequality ([[7], p 163]) In 2008, Dhompongsa and Panyanak [11] gave the following result, and ... be two nonexpansive mappings, and we modified (1.3) and (1.4) as follows: Lin et al Fixed Point Theory and Applications 2011, 2011:49 http://www.fixedpointtheoryandapplications.com/content/2011/1/49...

Ngày tải lên: 21/06/2014, 00:20

... periodically intermittent control, and some exponential stability criteria are established Finally, some conclusions and remarks are drawn in Section Problem Formulation and Preliminaries Consider a ... The state x1 and x2 of the closed-loop system in Example 3.5 Simulation result is shown in Figure for the initial condition x0 − T , T 0.2, τ 0.1, α and F t β , where α and β are random constants ... Optimization Theory and Applications, vol 108, no 1, pp 155–174, 2001 13 O M Kwon, J H Park, and S M Lee, “On robust stability criterion for dynamic systems with timevarying delays and nonlinear perturbations,”...

Ngày tải lên: 21/06/2014, 06:20

... 2 Fixed Point Theory and Applications Definition 1.2 see Let A and B be two nonempty subsets of a metric space X, and let T : A ∪ B → A ∪ B, T A ⊆ B, and T B ⊆ A We say that T is a ... Example 2.7 Let X R and d x, y |x − y| Let A 0, 1/2 and define f, g : A → A with x3 Also consider T : f A ∪ g A → f A ∪ g A by T x x/2 f x x2 and g x Then T is cyclic contraction and satisfies the ... Srinivasan, and P Veeramani, “Fixed points for mappings satisfying cyclical contractive conditions,” Fixed Point Theory, vol 4, no 1, pp 79–89, 2003 A A Eldred and P Veeramani, “Existence and convergence...

Ngày tải lên: 21/06/2014, 17:20

... Point Theory and Applications 20 T Ibaraki, Y Kimura, and W Takahashi, Convergence theorems for generalized projections and maximal monotone operators in Banach spaces,” Abstract and Applied ... Takahashi and K Shimoji, Convergence theorems for nonexpansive mappings and feasibility problems,” Mathematical and Computer Modelling, vol 32, no 11–13, pp 1463–1471, 2000 30 Y Kimura and W Takahashi, ... be a subsequence of {rn } with infi∈N rni > and let {zn } be a sequence in C and z ∈ C such that zn → z and Tn zn → z As in the proof of i , we get and z ∈ A−1 limi → ∞ zni − J1 zni Let C be a...

Ngày tải lên: 21/06/2014, 20:20

... Journal of Inequalities and Applications In 2005, Sastry and Babu introduced the Mann and Ishikawa iterations for multivalued mappings as follows: let X be a real Hilbert space and T : X → P X be ... {xn } In this case one must write Δ-limn xn x and call x the Δ-limit of {xn } Remark 3.2 In a CAT space X, strong convergence implies Δ -convergence and they are coincided when X is a Hilbert space ... suggestion and advice during the preparation of the article The research was supported by the Commission on Higher Education and Thailand Research Fund under Grant MRG5080188 References K P R Sastry and...

Ngày tải lên: 22/06/2014, 02:20

... improve, and unify the corresponding results obtained by Chen and Wu in [19] Theorem 3.4 Let K and X be the same as in Theorem 3.2 Let N : K × K → X ∗ and η : K × K → X be two mappings, and let ... y ∈ K (1.3) This problem was introduced and studied by Ansari and Yao [3] and Ding [4] Remark 1.1 Through appropriate choices of the mappings f , N, η, and b, it can be easily shown that problem ... b = ξ > 0, and c = −βλ ∈ R in (3.35) and check that all conditions of Theorem 3.2 hold This completes the proof Remark 3.6 Our results extend and improve those obtained by Ansari and Yao in [3]...

Ngày tải lên: 22/06/2014, 18:20

... We denote by N, Q, and R the set of all natural, rational, and real numbers, respectively., Rearrangements of functions and convergence in the space L0 Let Ω be a nonempty set and RΩ the set of ... “Rearrangements of functions and convergence in Orlicz spaces,” Applicable Analysis, vol 9, no 1, pp 23–27, 1979 [4] M G Crandall and L Tartar, “Some relations between nonexpansive and order preserving ... (x) and k(x) = | f (x)|χA (x) Then ϕ ≤ | f | + h and | f | ≤ ϕε + k As h and k are both η-null functions, from the property (iv) of Proposition 2.8 it follows that ϕ∗ ≤ f ∗ ≤ ϕ∗ μ-a.e., and analogously...

Ngày tải lên: 22/06/2014, 18:20

... inclusions involving H-monotone operators and (H,η)monotone, respectively Peng and Huang [37] proved the existence and uniqueness of solutions and the convergence of some new three-step iterative ... nonlinear variational-like inclusions and gave an iterative algorithm for finding its approximate solution Fang and Huang [35] and Fang et al [36] introduced and studied a new system of variational ... (4.6) 10 Fixed Point Theory and Applications For i = 1,2, , p, since Hi is τi -Lipschitz continuous, and gi is θi -Lipschitz continuous and Fi is ri -gi -strongly accretive and si -Lipschitz continuous...

Ngày tải lên: 22/06/2014, 19:20

... text look smooth and fluent which accord with the standard of English For those reasons, the researcher decided to choose the study “An analysis of common errors on verb tenses and word choices ... translation and Vietnamese-English translation This thesis focuses on analyzing the errors on verb tenses and word choices found in the VietnameseEnglish translation part of the final tests and the ... Thap University and making some suggestions to help avoid those errors Significance of the study The thesis will help the students recognize their common errors on verb tenses and word choices...

Ngày tải lên: 03/07/2014, 14:17

... Throughout the paper, X will always denote a finite set, and notation and terminology follows [10] 2.1 Main Results Phylogenetic Trees and Compatibility A phylogenetic X-tree T is an unrooted tree ... The vertex set of GQ is the set of singletons of X and, for each q = ab|cd ∈ Q, there is an edge joining {a} and {b}, and an edge joining {c} and {d} each of which is labelled q Apart from these ... GQ has edges {a, b} and {c, d} labelled q1 , and separate edges {a, b} and {c, e} labelled q2 For purposes later in the paper, in reference to q, we sometimes use {a, b}q and {c, d}q to denote...

Ngày tải lên: 07/08/2014, 21:20

... physical, mechanical and technological properties, colour stability and investigations of the gluing characteristics After sawing and kiln-drying, the wood was stored in standard climate (20 °C/65% ... mechanical and technological properties of normal beech wood and beech wood with red heart (n = 50, for Brinellhardness n = 240) Material property Normal beech Standard deviation Red-hearted beech Standard ... normal and red-hearted wood of the first sample series (well-established coatings) in the uncoated state and the coated state before and after 480 h of exposure Figure Colour difference of normal and...

Ngày tải lên: 08/08/2014, 00:22