point dew point calculations for composition independent k values
Báo cáo toán học: "A tight lower bound for convexly independent subsets of the Minkowski sums of planar point sets" potx
... n) points in (weakly) convex position Fine tuning The point set (P ⊕ Q) ∩ C is not necessarily convexly independent for two reasons: Some of the lines in L may be parallel For each i, the points ... n3/2 + m + n) Q.E.D An open problem Let Mk (n) denote the maximum convexly independent subset of the Minkowski sum k i=1 Pi of k sets P1 , P2 , , Pk ⊂ R , each of size n Our lower bound in ... M2 (n) = Θ(n4/3 ) Determine Mk (n) for k References [1] F Eisenbrand, J Pach, T Rothvoß, and N B Sopher Convexly independent subsets of the Minkowski sum of planar point sets The Electronic Journal...
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Electronic structure calculations for point defects, interfaces, and nanostructures of tio2
... fit points of the calculated conduction band as follow εℓ (k) = aℓ0 + aℓ1 (kx2 + ky2 ) + aℓ2 kz2 + aℓ3 (kx4 + ky4 ) + aℓ4 kz4 + aℓ5 kx2 ky2 (3.1) +aℓ6 (kx2 kz2 + ky2 kz2 ) + aℓ7 |kz | + aℓ8 |kz3 ... m⋆ii (k) become k- dependent In the isotropic relaxation time approximation, the conductivity becomes σ = e2 dk ∂f0 , vk vk τ (ε (k) ) − 4π ∂ε (k) where the velocity of electron vk = − (2.32) ∂ε (k) ... Electronic structure calculations for point defects, interfaces, and nanostructures of TiO2 (Berechnungen der elektronischen Struktur f¨ ur Punktdefekte, Oberfl¨achen, und Nanostrukturen von TiO2...
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10 Point Checklist for Content Marketing
... organizations But like all change, some will find it painful and others liberating as marketing continues to transform like never before Have a unique POV Come from and be clear on what you stand for and ... you for a solution Get it scheduled and get organized Continuously creating and broadcasting content is a formidable task So start by breaking it down into manageable activities and parts For ... how frequently it’s overlooked by so many It gets to the heart of direct marketing and the essential techniques for furthering the selling cycle of a product or service For every post or content...
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Báo cáo khoa học: "Data point selection for cross-language adaptation of dependency parsers" pot
... 3.1 Data point selection The key idea in our experiments is that we can use a simple form of instance weighting, similar to what is often used for correcting sample selection bias or for domain ... (2008) For our main results, which are presented in Figure 1, we use the remaining three treebanks as training material for each language The test section of the language in question is used for ... obtain the best results for Arabic training using labeled data from the Bulgarian treebank, and the best results for Bulgarian training on Portuguese only The best results for Danish were, somewhat...
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Báo cáo toán học: " Random approximation with weak contraction random operators and a random fixed point theorem for nonexpansive random self-mappings" pptx
... weakly sequentially continuous duality mapping from X to X ∗ , and K be a nonempty closed convex subset of X Suppose that T : Ω × K → K is nonexpansive random mapping and f : Ω × K → K is a weakly ... each ω ∈ Ω (3.1) Proof For each t ∈ (0, 1), we define a random mapping St : Ω × K → K by St (ω, x) = tf (ω, x) + (1 − t)T (ω, x) for each (ω, x) ∈ Ω × K, then for any x, y ∈ K and each ω ∈ Ω, and ... Thus, St : Ω × K → K is a weakly contractive random mapping with a function ψ, it follows from Lemma 2.1 that there exists a unique random fixed point of St , say ξt such that for each ω ∈ Ω,...
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Báo cáo toán học: " Fixed point theorems for mappings with condition (B)" pot
... n−2 ||T k+ 2 x−T k x|| = n k= 0 By Lemma 2.2, for each k ∈ N, T k x − PF (T ) T k x, PF (T ) T k x − u ≥ This implies that T k x − PF (T ) T k x, u − z ≤ T k x − PF (T ) T k x, PF (T ) T k x − z ... ⇒ T k+ 1 x − T υ, υ − T υ ≤ T k x − υ, T υ − υ + ||T k+ 2 x − T k x|| · ||T υ − υ|| n−2 T k+ 1 x − T υ, υ − T υ ⇒ k= 0 n−2 n−2 T k x − T υ, T υ − υ + ≤ k= 0 ||T k+ 2 x − T k x|| · ||T υ − υ|| k= 0 ⇒ ... ||T k+ 2 x − T k x|| · ||T υ − υ|| k= 0 ⇒ n S x n−1 n − x n−1 − T υ, υ − T υ ≤ Sn−1 x − T υ, T υ − υ + n−1 n−2 ||T k+ 2 x − T k x|| · ||T υ − υ|| k= 0 By Proposition 3.1(v), lim ||T k+ 2 x − T k x||...
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Báo cáo toán học: " Fixed point theorems for contraction mappings in modular metric spaces" pptx
... [23] Kuaket, K, Kumam, P: Fixed point for asymptotic pointwise contractions in modular spaces Appl Math Lett 24, 1795–1798 (2011) 20 [24] Kumam, P: On uniform opial condition, uniform Kadec–Klee ... i=0 k m−i εi = N i=0 ≤ k m k m−i εi + k m−i εi i=N +1 m−N N k N −i εi + ε i=0 m (3.6) k m−i i=N +1 Taking limit as m → ∞ in (3.6), we have m k m−i εi = lim m→∞ (3.7) i=0 Since x0 is a fixed point ... Fixed point theorems for contraction mappings in modular metric spaces Chirasak Mongkolkeha, Wutiphol Sintunavarat and Poom Kumam∗ Department of Mathematics, Faculty of Science, King Mongkut’s...
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Báo cáo toán học: " Fixed point theorems for w-cone distance contraction mappings in tvs- cone metric spaces" docx
... and (3) we get p(T n x, T z) ≤ kp(T n−1 x, z) ≤ k kn k n−1 · p(x, T x) = · p(x, T x) for 1 k 1 k n ≥ Thus from Lemma and (i) of Lemma 8, with αn = βn = [k n /(1 − k) ] · p(x, T x) we obtain T z ... P 1 k By Lemma 2, it is easy to show that lim i→∞ i − p(T n x, z) + kn kn · p(u, T u) = −p(T n x, z) + · p(u, T u) 1 k 1 k Therefore, as P is closed, −p(T n x, z) + kn · p(x, T x) ∈ P 1 k (8) ... Fixed point theorems for generalized hausdorff metrics Int Math Forum 3(21), 1011–1022 (2008) Suzuki, T: Several fixed point theorems in complete metric spaces Yokohama Math J 44, 61–72 (1997) Suzuki,...
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Báo cáo hóa học: " Some fixed point theorems for contractive multivalued mappings induced by generalized distance in metric spaces" pptx
... (2:3) for all n Î N Using such a function f, we now define a function g: N ® N by g(n) = 1, k, if n < f (1), if f (k) ≤ n < f (k + 1) for some k ∈ Æ Then, we can see that • g(n) ≤ f (g(n)) ≤ n for ... can check that F(T) = {0} Remark 2.9 Example 2.8 shows that Corollary 2.7 is a genuine generalization of the Banach contraction principle Acknowledgements The authors would like to thank the anonymous ... Hirunworakit and Petrot Fixed Point Theory and Applications 2011, 2011:78 http://www.fixedpointtheoryandapplications.com/content/2011/1/78 Cho, YJ, Hirunworakit, S, Petrot, N: Set-valued fixed points...
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Báo cáo hóa học: " Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces" potx
... t(1 − k) km−n−1 )♦ν(ym−1 − ym, t(1 − k) km−n−1 ) ≤ ν x0 − x1 , (1 − k) t kn ♦ y0 − y1 , (1 − k) t kn (3:27) ♦··· ♦ν x0 − x1 , (1 − k) t kn t kn t ≤ ν x0 − x1 , (1 − k) n k ♦ν y0 − y1 (1 − k) m−n ... − k) km−n−1 ) ∗ μ(ym−1 − ym , t(t − k) km−n−1 ) ≥ μ x0 − x1 , (1 − k) t kn ∗ μ y0 − y1 , (1 − k) t kn (3:19) ∗··· ∗μ x0 − x1 , (1 − k) t kn ∗ μ y0 − y1 , (1 − k) m−n t kn t ≥ μ x0 − x1 , (1 − k) ... t(1 − k) (1 + k + · · · + km−n−1 )) ♦ν(yn − ym , t(1 − k) (1 + k + · · · + km−n−1 )) ≤ ν(xn − xn+1 , t(1 − k) )♦ν(yn − yn+1 , t(1 − k) ♦ν(xn+1 − xn+2 , t(1 − k) k)♦ν(yn+1 − yn+2 , t(1 − k) k) ♦···...
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Báo cáo hóa học: " A fixed point theorem for Meir-Keeler contractions in ordered metric spaces" pot
... (xn (k) ) such that xn (k) ≤ z for all k Î N If there exists k0 Î N such that xn (k0 ) = z , then the nondecreasing character of (xn) gives us that xk = z for all k ≥ n (k0 ) Particularly, xn (k0 ) ... = xn (k0 )+1 = T(xn (k0 ) ) , and xn (k0 ) = z is a fixed point of T Suppose that for any k Î N, xn (k)
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Báo cáo hóa học: " Some Coincidence Point Theorems for Nonlinear Contraction in Ordered Metric Spaces" docx
... are said to be weakly increasing if fx ≼ g(fx) and gx ≼ f(gx) for all x Î X Recently, Turkoglu [32] studied new common fixed point theorems for weakly compatible mappings on uniform spaces While, ... xn ≽ x for all n Î N (ii) f(fx) ≼ fx for all x Î X Then, f has a fixed point Proof Follows from Theorem 2.2 by taking T = iX (the identity map) By taking ψ(t) = t and j(t) = (1 - k) t, k Î [0, ... some new coincidence point theorems for a pair of weakly increasing mappings Very recently, Shatanawi and Samet [33] proved some coincidence point theorems for a pair of weakly increasing mappings...
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Báo cáo hóa học: " Fixed point theory for cyclic (j - ψ)-contraction" pdf
... M: Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings Fixed Point Theory Appl 2010 (2010) Article ID 572057 Karapmar, E: Fixed point theory for cyclic ... condition, we can obtain φ(d(xnk+1 , Tx)) = φ(d(Txnk , Tx)) ≤ φ(d(Txnk , x)) − ψ(d(xnk , x)) ≤ φ(d(xnk , x)) and since xnk → x and j and ψ belong to F, letting k ® ∞ in the last inequality, we have φ(d(x, ... Published: 27 October 2011 References Kirk, WA, Srinivasan, PS, Veeramani, P: Fixed points for mappings satisfying cyclical weak contractive conditions Fixed Point Theory 4(1):79–89 (2003) Rus,...
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Báo cáo hóa học: " Common fixed-point results for nonlinear contractions in ordered partial metric spaces" pot
... p(Fxm (k) , Fxm (k) −1 ), [p(Fxn (k) , Fxm (k) ) + p(Fxn (k) +1 , Fxm (k) −1 )] ≤ ϕ max p(Fxn (k) , Fxm (k) −1 ), p(Fxn (k) +1 , Fxn (k) ), p(Fxm (k) , Fxm (k) −1 ) , [p(Fxn (k) , Fxm (k) ) + p(Fxn (k) +1 , Fxn (k) ) ... (9), for all positive integer k, we have n (k) > m (k) > k and p(Fxm (k) , Fxn (k) ) ≥ ε Without loss of generality, we can suppose that also n (k) > m (k) > k, p(Fxm (k) , Fxn (k) ) ≥ ε , p(Fxm (k) , ... p(Fxn (k) , Fxm (k) ) ≤ p(Fxn (k) , Fxn (k) +1 ) + p(Fxn (k) +1 , Fxm (k) ) (13) From (1) with x = xn and y = xn+1, we get p(Fxn (k) +1 , Fxm (k) ) ≤ ϕ max p(Fxn (k) , Fxm (k) −1 ), p(Fxn (k) +1 , Fxn (k) ),...
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Báo cáo hóa học: " Some new fixed point theorems for set-valued contractions in complete metric spaces" doc
... limk→∞ d(xmk , xnk ) = γ and γ ≤ d(xmk , xnk ) ≤ H(Txmk −1 , Txnk −1 ) ≤ ψ(d(xmk −1 , xnk −1 ), d(xmk −1 , xmk ), d(xnk −1 , xnk ), d(xmk −1 , xnk ), d(xnk −1 , xmk )) ≤ ψ(cmk −1 + d(xmk , xnk ... d(xnk −1 , xmk ) − φ(d(xmk −1 , xnk ), d(xnk −1 , Txmk ))]) Since d(xmk −1 , xnk ) + d(xnk −1 , xmk ) ≤ d(xmk −1 , xmk ) + d(xmk , xnk ) + d(xnk , xmk ) + d(xnk −1 , xnk ), Page of Chen Fixed Point ... limk→∞ d(xmk , xnk ) = γ and γ ≤ d(xmk , xnk ) ≤ H(Txmk −1 , Txnk −1 ) ≤ ψ([D(xmk −1 , Txnk −1 ) + D(xnk −1 , Txmk −1 ) − φ(D(xmk −1 , Txnk −1 ), D(xnk −1 , Txmk −1 ))]) ≤ ψ([d(xmk −1 , xnk )...
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Báo cáo hóa học: " Common fixed point results for three maps in generalized metric space" pdf
... xl−1 , xl ) ≤ ≤ [kn + kn+1 + · · · + kl ]G(x0 , x1 , x2 ) kn G(x0 , x1 , x2 ) 1 k The same holds if l = m >n and if l >m = n we have G(xn , xm , xl ) ≤ kn−1 G(x0 , x1 , x2 ) 1 k Consequently G(xn, ... common fixed point in X Moreover, any fixed point of f is a fixed point g and h and conversely Acknowledgements The authors are thankful to the anonymous referees for their critical remarks which ... Define f, g, h : X ® X by ⎧ x ⎨ for x ∈ [0, ) 12 f (x) = ⎩ x for x ∈ [ , 1], 10 ⎧x ⎨ for x ∈ [0, ) g(x) = x ⎩ for x ∈ [ , 1], and ⎧x ⎨ for x ∈ [0, ) h(x) = ⎩ x for x ∈ [ , 1] Note that f, g and...
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Báo cáo hóa học: " Common fixed point theorems for generalized J H-operator classes and invariant approximations" potx
... convex and f(kx + (1 - k) y) = kfx + (1 - k) fy for all x, y Î M and all k Î [0, 1]; and q-affine if M is qstarshaped and f(kx + (1 - k) q) = kfx + (1 - k) fq for all x, y Î M and all k Î [0, 1] Page of ... doi:10.1155/S0161171290000096 Kang, SM, Ryu, JW: A common fixed point theorem for compatible mappings Math Jpn 35, 153–157 (1990) Mongkolkeha, C, Kumam, P: Fixed point and common fixed point theorems for generalized weak ... n = k but not a generalized J H-suboperator for every n Î N as − Tk k k = = > = (diam (PC(f , Tk )))n − k k k (3:6) for each k Î (0, 1) Theorem 3.6 Let f and T be selfmaps on a q-starshaped subset...
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Báo cáo hóa học: " Fixed point theorems for some new nonlinear mappings in Hilbert spaces" pptx
... Lemma 2.1, for each k Î N, 〈Tkx - PTkx, PTkx - u〉 ≥ And this implies that T k x − PT k x, u − p ≤ T k x − PT k x, PT k x − p ≤ ||T k x − PT k x|| · ||PT k x − p|| ≤ ||T k x − p|| · ||PT k x − p|| ... α(T k 1 x)||T k 1 x − y||2 + β(T k 1 x)||T k x − Ty||2 + 2β(T k 1 x) T k x − Ty, Ty − y +β(T k 1 x)||Ty − y||2 − 2||T k x − Ty||2 ≤ α(T k 1 x)(||T k 1 x − y||2 − ||T k x − Ty||2 ) + 2β(T k 1 ... Î C and k Î N, we have ≤ α(T k 1 x)||T k x − y||2 + β(T k 1 x)||Ty − T k 1 x||2 − 2||T k x − Ty||2 ≤ α(T k 1 x){||T k x − Ty||2 + T k x − Ty, Ty − y + ||Ty − y||2 } +β(T k 1 x)||Ty − T k 1 x||2...
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Báo cáo hóa học: " A common fixed point theorem for a commuting family of nonexpansive mappings one of which is multivalued" pdf
... B(zi , ) Put K := co(z1 , z2 , , zn ) and define Vx = Bε (Ucx) ∩ K for i=1 x Î K Clearly, V : K ® KC (K) For x Î K, cx Î F thus by (ii) there exists y Î Ucx ∩ ε ¯ F Then, choose zi for some i ... Î A If for some subsequence {xnk } of {xn}, λdist(xnk , Txnk ) ≥ ||xnk − x|| for each k, we have Nanan and Dhompongsa Fixed Point Theory and Applications 2011, 2011:54 http://www.fixedpointtheoryandapplications.com/content/2011/1/54 ... Math 53, 59–71 (1974) Goebel, K, Kirk, WA: Topics in Metric Fixed Point Theory Cambridge University Press, Cambrige (1990) Goebel, K, Kirk, WA: Iteration processes for nonexpansive mappings Contemp...
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Báo cáo hóa học: " Some Suzuki-type fixed point theorems for generalized multivalued mappings and applications" docx
... na.2009.01.116 10 Ćirić, LJ: Fixed points for generalized multi-valued contractions Matematički Vesnik 9(24), 265–272 (1972) 11 Kikkawa, M, Suzuki, T: Three fixed point theorems for generalized contractions ... multivalued mapping generalization of the Theorem 2.2 of Kikkawa and Suzuki [3], and therefore of the Kannan fixed point theorem [4] for generalized Kannan mappings Also, it is the generalization of ... 133–181 (1922) Kikkawa, M, Suzuki, T: Some similarity between contractions and Kannan mappings Fixed Point Theory Appl (2008) Article ID 649749 Kannan, R: Some results on fixed points–II Am Math...
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