appl ngoc long volume 2006 article id 30847 pages 1 24 pdf
Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID ppt
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... 3 .14 Pn 1 , dPn ,Pn 1 α aPn ,Pn 1 hPn 1 ,Pn 1 − a α qn − a α qn α 1 α aPn ,Pn hPn ,Pn 1 ⎛ α Pn 1 α Pn 1 − a ⎝ 1 α −xPn 1 α qn α xPn ⎞⎛ ⎠⎝ − a α a α xPn 1 α α xPn Pn 1 − a ⎞ ⎠ 3 .15 For Pn 1 < k ... k < Pr 1, n dnk j k α an,j hj,k 1 3 .18 α an,Pr 1 hPr 1 ,k 1 α an,Pr hPr ,k 1 α an,n hn,k 1 8 Journal of Inequalities and Applications For k Pr 1 , 1 α an,Pr 1 hPr 1 ,Pr 1 dn,Pr 1 α xn − ... Pr 1 − a α xn − a α Pr 1 − a α an,Pr hPr ,Pr 1 1 ⎛ 1 α an,n hn,Pr 1 ⎞ α xPr ⎝ Pr 1 α − a α α α α α α xPr − xPr 1 xPr − xPr 1 xPr 1 a α α xPr 1 1⎠ ⎞ ⎛ ⎝ Pr 1 α α α xPr − xPr 1 a − α α 3 .19 ⎠...
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Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID doc
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... and Applications Obviously, Gk L2 L f1 , 2.8 where f1 ∈ Hk satisfying f1 k Gk , 2.9 almost everywhere Solving the above equality, we have f1 s 1 k Lt t − s 2k − ! 2k 1 p ∈ Èk 1 p s , 2 .10 Applying ... vol 51, no 6-7, pp 10 47 10 56, 2006 N Ujevi´ , “Sharp inequalities of Simpson type and Ostrowski type,” Computers & Mathematics with c Applications, vol 48, no 1- 2, pp 14 5 15 1, 2004 ... functional L to both sides of the above equality gives 1 k Ls Lt t − s 2k − ! L f0 2k 1 3.9 , which together with 3.5 yields L 1 k Ls Lt t − s 2k − ! 2k 1 , 3 .10 as desired Remark 3 .1 From the above...
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Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID pptx
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... k 1 k 1 Mγ I k , i k pis 1 i1 ≤···≤ik ≤n η⎥ ⎦ , η / 0, s 1. 54 k s Mγ I k , i k 1/ pis n k 1 k 1 , η 0, 1 i1 ≤···≤ik ≤n and 1. 43 has the form Mh,g Ik h 1 k n k 1 k 1 1≤i1 ≤···≤ik ≤n k s h ◦ g 1 ... η / 0, s 1. 48 k s Mγ I k , i k 1/ pis n 1 k 1 , η 0, 1 i1
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Hindawi Publishing Corporation Journal of Inequalities and Applications Volume 2011, Article ID pot
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21/06/2014, 04:20
... and Applications Theorem 2.5 If f ∈ Γλ n, α, β , then p m 1 ! p 1 ! p ≤ − 1 β β 2α p n 1 p!2−n · p−m ! 1 β m 1 ! p 1 ! β 2α p n 1 · r 2p r − p m ≤ f p!2−n 2p − p r r p−m ! m z 2 .15 m r < 1; α ... Society, vol 43, no 1, pp 13 7 14 0, 19 91 15 D G Yang, “On new subclasses of meromorphic p-valent functions,” Journal of Mathematical Research and Exposition, vol 15 , no 1, pp 7 13 , 19 95 16 I Faisal, ... n, α, β , then λ p m 1 ! p 1 ! ≤ p − − αβ αβ p 1 m 1 ! p!2−n 2p − p r r p−m ! − αβ p 1 ! < |z| n 1 · r < 1; α ≥ αβ p β n 1 · m m ≤ f p!2−n 2p − p r r p−m ! z m 3 .14 ; ≤ β < 1; p ∈ N; n, m ∈ N0...
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Hindawi Publishing Corporation EURASIP Journal on Information Security Volume 2011, Article ID pptx
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21/06/2014, 05:20
... and standard deviation of 10 0 image’s error rates Embedding intensity β =1 β=2 β=3 Average Mean 0 .13 9 0 .13 512 0 .12 309 0 .13 24 Standard deviation 0 .12 2 61 0 .11 71 0 .10 2 91 0 .11 42 capacity of an image ... maximum β=3 13 8 .15 11 2.80 12 7.42 64 83.07 Estimated maximum payload (kilobits) β =1 β=2 β=3 233.25 16 9.80 10 8.35 265.25 2 01. 85 14 0.45 263.75 200.35 13 8.85 204.05 14 2.50 88.50 256.75 19 3.50 13 2.05 Table ... 9, no 12 , pp 410 – 413 , 2002 [10 ] D C Wu and W H Tsai, “A steganographic method for images by pixel-value differencing,” Pattern Recognition Letters, vol 24, no 9 -10 , pp 16 13 16 26, 2003 [11 ] X Zhang...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 186237, ppt
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... there exist x1 , y1 ∈ M such that x1 ∈ T x0 , y0 , x0 x1 and y1 ∈ T y0 , x0 , y1 y0 Again from iii , there exist x2 , y2 ∈ M such that x2 ∈ T x1 , y1 , x1 x2 and y2 ∈ T y1 , x1 , y2 y1 Continuing ... and xn 1 xn ∈ T xn 1 , yn 1 , n 1, 2, , yn 1 yn ∈ T yn 1 , xn 1 , n 1, 2, 4.2 So x0 x1 ··· xn ··· yn ··· y2 y1 4.3 Hence, ϕ x0 ≥ ϕ x1 ≥ · · · ≥ ϕ xn ≥ · · · ≥ ϕ yn ≥ · · · ≥ ϕ y1 ≥ ϕ y0 ... Hungarica, vol 12 8, no 1- 2, pp 16 5 17 4, 2 010 13 D Turkoglu and B Fisher, “Fixed point of multivalued mapping in uniform spaces,” Indian Academy ¨ of Sciences, vol 11 3, no 2, pp 18 3 18 7, 2003 14 D Turkoglu...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 187439, 3 pptx
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... and Applications, vol 2 011 , Article ID 620284, 17 pages, 2 011 H K Xu, “Inequalities in Banach spaces with applications,” Nonlinear Analysis: Theory, Methods & Applications, vol 16 , no 12 , pp 11 27 11 38, ... Applications, vol 16 , no 12 , pp 11 27 11 38, 19 91 D J Downing, “Surjectivity results for φ-accretive set-valued mappings,” Pacific Journal of Mathematics, vol 77, no 2, pp 3 81 388, 19 78 ... Theorems 3.2, 4.2, and 5.2 in Considering the above discussion to complete our paper, we reprove Lemmas 3 .1 and 5 .1 of here with some little changes Lemma 3 .1 see Either let X be a real Banach...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 216146, pot
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... that the following conditions are satisfied: 3 .11 .1 ϕX ∈ CAC X (see Definiation 2 .24) , 3 .11 .2 there exists ΥAD ϕ / ∅ such that conditions (3 .1. 1)–(3 .1. 3) are satisfied Then ϕX is a general Lefschetz ... p2 , q2 ⊂ ψ there exists a pair 1 1 1 p, q ⊂ ψ ◦ ϕ such that q2∗ p2∗ ◦ q1∗ p1∗ q∗ p∗ Definition 2 .11 An admissible map ϕ : X X is called a Lefschetz map provided that the Lefschetz set Λ ϕ ... satisfied: 3.9 .1 ΥAD ϕ / ∅, 3.9.2 for all V ∈ ΥAD ϕ Λ ϕV is well defined 3.20 10 Fixed Point Theory and Applications We define ΛG ϕX Λ ϕV 3. 21 V ∈ΥAD ϕ Justification Condition 3 .1. 1 results from...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 257034, 3 potx
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... of nonexpansive mappings in Hilbert spaces,” Fixed Point Theory and Applications, vol 2 010 , Article ID 907275, 16 pages, 2 010 ... References S Saeidi and S Naseri, “Iterative methods for semigroups of nonexpansive mappings and variational inequalities,” Mathematical Reports, vol 12 62 , no 1, pp 59–70, 2 010 H Piri and H ... Fx − Fy , for some λ ∈ 0, In , Saeidi and Naseri established a strong convergence theorem for a semigroup of nonexpansive mappings, as follows Theorem Saeidi and Naseri Let {T t : t ∈ S} be...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 276859, potx
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... generated as follows: k x1 1 x0 − 1 T1 x1 − 1 μF T1 x1 , x2 β2 x1 − β2 T2 x2 − λ2 μF T2 x2 , βN xN 1 xN 1 − βN 1. 6 − βN TN xN − λN μF TN xN , βN xN xN T1 xN − λN μF T1 xN , The scheme is ... follows: k x1 1 x0 − 1 T1 x1 , x2 β2 x1 − β2 T2 x2 , βN xN 1 xN 1 − βN TN xN , βN xN xN − βN 1. 4 T1 xN , The compact expression of the method is the form xk βk xk 1 − βk T k xk , k ≥ 1, 1. 5 Tn ... lim ykj − p , j →∞ j →∞ i 1, , N 2 .13 By Lemma 2 .1, i ykj − p i − βkj i 1 ykj − p i i − βkj − βkj i ≤ − βkj i 1 ykj − p ≤ ··· 2 i 1 i 1 ykj − Ti ykj 2 2 .14 i 1 i 1 ykj − Ti ykj i i − βkj −...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 297360, ppt
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21/06/2014, 05:20
... u, 1, u − implies φ 1, 1, 1, which contradicts F1 Now, we state without proof the following result Theorem 3 .15 Let {A1 , A2 , , Am }, {B1 , B2 , , Bn }, {S1 , S2 , , Sp }, and {T1 , ... Example 3 .14 In the setting of Example 2.2, we define φ t1 , t2 , t3 , t4 15 t1 − 13 t2 besides retaining the rest of the example as it stands Then, all the conditions of Theorem 3 .13 with k ∈ 1/ 4, are ... vol 1, no 2, pp 47–56, 2009 11 M Imdad and J Ali, “Some common fixed point theorems in fuzzy metric spaces,” Mathematical Communications, vol 11 , no 2, pp 15 3 16 3, 2006 12 V Pant, “Contractive conditions...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 309026, pptx
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... Ψ 2j 1 x, 2j 1 x , j Ψ 2j 1 x, −2j 1 x , j Ψ −2j 1 x, 2j 1 x , |2| |2| j |2| j Ψ 2j 1 x, , |2| |2| j Ψ 0, 2j 1 x j Ψ 2j 1 x, , j Ψ −2j 1 x, 2j x , |2| |2|j , Ψ 2j x, −2j 1 x |2|j Ψ 0, 2j 1 x , ... Netherlands, 19 97 18 Y.-H Lee and K.-W Jun, “A note on the Hyers-Ulam-Rassias stability of Pexider equation,” Journal of the Korean Mathematical Society, vol 37, no 1, pp 11 1 12 4, 2000 19 M S Moslehian ... Society, vol 12 6, no 11 , pp 313 7– 314 3, 19 98 17 A Khrennikov, Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models, vol 427 of Mathematics and Its Applications,...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 454093, pptx
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... and Applications, vol 1, pp 54–62, 2 010 30 C Park and Th M Rassias, “Isomorphisms in unital C∗ -algebras,” International Journal of Nonlinear Analysis and Applications, vol 1, pp 1 10 , 2 010 31 ... Article ID 923476, 11 pages, 2009 39 G L Forti, “An existence and stability theorem for a class of functional equations,” Stochastica, vol 4, no 1, pp 23–30, 19 80 14 Fixed Point Theory and Applications ... Theory and Applications 13 14 Y.-H Lee and K.-W Jun, “On the stability of approximately additive mappings,” Proceedings of the American Mathematical Society, vol 12 8, no 5, pp 13 61 13 69, 2000 15 J...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 484717, 3 pptx
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... a y − x e y−x 1 e x−y 1 ⇐⇒ y − x ≤ a y − x e y−x 1 e y ⇐⇒ e y − x 1 x 1 a−e y−x ≤e y−x 1 ⇐⇒ y − x ≤ y − x − 2 .1 e We have two cases, y > x or y ≤ x If y > x 1, then y − x y − x − 1, and hence ... − x y − x − 1, and hence inequality 2 .1 is true If y ≤ x 1, then < y − x ≤ 1, and so y − x ≤ |y − x − 1| 1, and hence inequality 2 .1 is true So condition 1. 3 holds for b c and e f, but T has not ... theorem in Banach space,” Unione Matematica Italiana Bollettino A, vol s 17 , no 1, pp 19 3 19 8, 19 80 Fixed Point Theory and Applications ´ c Lj.B Ciri´ , “On a generalization of a Greguˇ fixed point...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 496417, pot
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... Cc Ω , α φ x ∂x1 x1 α φ x x1 α φ x sgn φ x 1, 0, , For ∂x1 φ x A.4 Integration of both sides yields Ω ∂x1 x1 α φ x dx Ω α φ x dx Ω x1 α α φ x dx ≤ kβ 1 Ω β α φ x sgn φ x ∂x1 φ x dx A.5 The ... x 2.5 α x , x for y : αx αx x 2.2 , α 1 x β β 1 x λ α x , , β 1 ◦ α x , β 1 ◦ α x x α 1 x β 1 x α α 1 x α x 2.6 2.7 Remark 2 .1 The conjugate identity 2 .1 implicitly requires to have the following ... the graph of Φ at a, b reads z Φx a, b β 1 b α α 1 a Φy a, b x−a x−a y−b α 1 a β β 1 b Φ a, b y−b α 1 a β 1 b ≡ T x, y 2 .14 Then, for α 1 a : a and β 1 b : b, T x, y can be rewritten as T x,...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 671514, pptx
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... 2 010 , Article ID 16 23 71, 11 pages, 2 010 26 D H Hyers, G Isac, and Th M Rassias, Stability of Functional Equations in Several Variables, Progress in Nonlinear Differential Equations and Their Applications, ... 50, no 4, Article ID 042303, pages, 2009 20 F Skof, “Propriet` locali e approssimazione di operatori,” Rendiconti del Seminario Matematico e Fisico a di Milano, vol 53, pp 11 3 12 9, 19 83 21 P W Cholewa, ... Several Variables, vol 31 of Encyclopedia of Mathematics e and Its Applications, Cambridge University Press, Cambridge, UK, 19 89 10 Fixed Point Theory and Applications 24 S Czerwik, Functional...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 780764, pot
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... strongly monotone mappings in Hilbert spaces,” Journal of Inequalities and Applications, vol 2 010 , Article ID 4 519 16, 10 pages, 2 010 A S Stukalov, “A regularized extragradient method for solving equilibrium ... pp 411 –426, 2003 10 P N Anh and J K Kim, “A new method for solving monotone generalized variational inequalities,” Journal of Inequalities and Applications, vol 2 010 , Article ID 65 719 2, 20 pages, ... vol 16 , no 4, pp 12 30 12 41, 2006 24 M A Noor, Y Yao, R Chen, and Y.-C Liou, “An iterative method for fixed point problems and variational inequality problems,” Mathematical Communications, vol 12 ,...
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Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 794203, potx
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... NY, USA, 19 84 A N Iusem, “An iterative algorithm for the variational inequality problem,” Computational and Applied Mathematics, vol 13 , no 2, pp 10 3 11 4, 19 94 12 Fixed Point Theory and Applications ... vol 24, no 1, Article ID 015 015 , p 8, 2008 22 K Goebel and W A Kirk, Topics in Metric Fixed Point Theory, vol 28 of Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, ... variational inequalities,” Journal of Optimization Theory and Applications, vol 11 9, no 1, pp 18 5–2 01, 2003 13 I Yamada, “The hybrid steepest descent method for the variational inequality problem...
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Hindawi Publishing Corporation Advances in Difference Equations Volume 2011, Article ID 190475, 11 pot
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... method when a 0.05, b 0.03, and c 0. 01 for 1. 1 , and 4 .1 t 0.02 0.2 0.3 α β 0.9 0.9 0.9 Numerical value u, v by HPM 99.48 31, 10. 614 6 99 .18 65 ,10 .9633 93.0 910 ,17 .8 514 90.5735,20.5567 87.9348,23.4430 ... ∂2 u1 ∂y2 ∂2 u2 ∂y2 ∂2 u3 ∂y2 au0 − bu0 v0 , au1 − b u1 v0 au2 − b u2 v0 au3 − b u3 v0 u0 v1 , u1 v1 u2 v1 u0 v2 , u1 v2 u0 v3 , Advances in Difference Equations p0 : ∂β v0 ∂tβ 0, p1 : ∂β v1 ∂tβ ... Advances in Difference Equations 12 0 200 18 0 16 0 80 Population density Population density 10 0 Prey 60 Predator 40 Predator: α = 1, β = 0.7 14 0 12 0 Predator: α = 1, β = 0.9 10 0 80 60 Prey: α = 0.9, β...
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Hindawi Publishing Corporation Advances in Difference Equations Volume 2011, Article ID 234215, 12 docx
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... work was partially supported by the NNSF no 11 02 611 0 , the NSF of Jiangxi nos 2 010 GQS 014 4 and 2 010 GQS 013 9 and the YFED of Jiangxi nos GJJ 110 43 and GJJ10050 of China References W K Hayman, Meromorphic ... the case fg t, where t may occur in Theorems 1. 10 and 1. 11 From the proof of Theorem 1. 11 and 2.7 below, we obtain easily the next result Corollary 1. 13 Let f and g be transcendental entire functions ... the condition λ 1/ f < ρ f can be found in 9– 12 Theorem 1. 7 is a partial improvement of 11 , Theorem 1. 1 for f is an entire function and is also an improvement of 13 , Theorem 1. 1 for the case...
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