generalized log r solution

generalized difference methods for differential equations - r. li, z. chen, w. wu

Ngày tải lên : 31/03/2014, 15:56

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Báo cáo toán học: " Existence of solutions of a new system of generalized variational inequalities in Banach spaces" ppt

Ngày tải lên : 20/06/2014, 21:20

... research and interpreted the results TT proved the theorems, interpreted the results and wrote the article All authors defined the research theme, read and approved the manuscript References Baiocchi, ... model of several equilibrium problems, namely, traffic equilibrium problem, the spatial equilibrium problem, the Nash equilibrium, the general equilibrium programming problem, etc For further detail ... We remark that the main Lyapunov functional V was first introduced by Alber [35] and its properties were studied there By using this functional, Alber defined a generalized projection operator on...

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Báo cáo hóa học: "Common fixed points of R-weakly commuting maps in generalized metric spaces" ppt

Ngày tải lên : 21/06/2014, 00:20

... fixed point results for four mappings satisfying certain generalized contractive conditions in the framework of a generalized metric space We start with the following result Theorem 2.1 Let X ... Property p in G-metric spaces Fixed Point Theor Appl 2010, 12 (2010) Article ID 401684 10 Saadati, R, Vaezpour, SM, Vetro, P, Rhoades, BE: Fixed point theorems in generalized partially ordered ... and (2.2) not reduce to any metric inequality with the metric d G Hence, our theorems not reduce to fixed point problems in the corresponding metric space (X, dG) Author details Department of Mathematics,...

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Báo cáo hóa học: " A strong convergence theorem on solving common solutions for generalized equilibrium problems and fixed-point problems in Banach space" pptx

Ngày tải lên : 21/06/2014, 01:20

... Publishers, Dordecht; 1990 13 Alber YI: Metric and generalized projection operators in Banach spaces: properities and applications In Theory and Applications of Nonlinear operators of Accretive ... convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces Appl Math Mech , English 2009, 30(6):685-694 Peng JW, Yao JC: Strong convergence theorems ... point problems with applications Nonlinear Anal Real World Appl 2010, 11:2963-2972 Takahashi W, Zembayashi K: Strong convergence theorem by a new hybrid method for equilibrium problems and relatively...

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Báo cáo hóa học: " Convergence theorems of solutions of a generalized variational inequality" doc

Ngày tải lên : 21/06/2014, 01:20

... generalized variational inequality (1.2) Strong convergence theorems of solutions are established in the framework of real Hilbert spaces In order to prove our main results, we need the following lemmas ... Hybrid projection algorithms for generalized equilibrium problems and strictly pseudocontractive mappings J Inequal Appl 2010, 2010:Article ID 312602 19 Hao Y: Strong convergence of an iterative ... projection onto constraint sets Opt Lett 1995, 20:1172-1174 Sezan MI, Stark H: Application of convex projection theory to image recovery in tomograph and related areas In Image Recovery: Theory...

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Báo cáo hóa học: " A relaxed hybrid steepest descent method for common solutions of generalized mixed equilibrium problems and fixed point problems" potx

Ngày tải lên : 21/06/2014, 01:20

... in a real Hilbert space Our results improve and extend the corresponding results of Jung [12] and some others Preliminaries Throughout this article, we always assume H to be a real Hilbert space, ... Acknowledgements This research was partially supported by the Research Fund, Rajamangala University of Technology Rattanakosin The first author was supported by the ‘Centre of Excellence in Mathematics’, ... Education, Thailand for Ph.D program at King Mongkuts University of Technology Thonburi (KMUTT) The second author was supported by Rajamangala University of Technology Rattanakosin Research and Development...

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báo cáo hóa học: " Some extragradient methods for common solutions of generalized equilibrium problems and fixed points of nonexpansive mappings" potx

Ngày tải lên : 21/06/2014, 02:20

... We obtain both strong convergence theorems and weak convergence theorems for the sequences generated by the corresponding processes The results in this article generalize, improve, and unify some ... equilibrium problems Lecture Notes in Econom and Math System, Springer-Verlag, Berlin 477, 187–201 (1999) Peng, JW, Yao, JC: Weak convergence of an iterative scheme for generalized equilibrium problems ... are bounded, we obtain ||Bxn - Bu|| ® For u Î Ω, we have, from Lemma 2.2, ||un − u||2 = ||Trn (xn − rn Bxn ) − Trn (u − rn Bu)||2 ≤ Trn (xn − rn Bxn ) − Trn (u − rn Bu), xn − rn Bxn − (u − rn...

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Báo cáo hóa học: " Research Article The Shrinking Projection Method for Common Solutions of Generalized Mixed Equilibrium Problems and Fixed Point Problems for Strictly Pseudocontractive Mappings" ppt

Ngày tải lên : 21/06/2014, 05:20

... for financial support under NRU-CSEC Project no 54000267 References H Zhou, “Convergence theorems of fixed points for κ-strict pseudo-contractions in Hilbert spaces,” Nonlinear Analysis Theory, ... image restoration 35, 36 , computer tomography 37 , and radiation therapy treatment planning 38 The following result can be obtained from Theorem 3.1 We, therefore, omit the proof Theorem 4.1 ... on Higher Education and the Thailand Research Fund under Grant MRG5380044 Moreover, they also would like to thank the National Research University Project of Thailand’s Office of the Higher Education...

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Báo cáo hóa học: " Research Article Algorithms of Common Solutions to Generalized Mixed Equilibrium Problems and a System of Quasivariational Inclusions for Two Difference Nonlinear Operators in Banach Spaces" pdf

Ngày tải lên : 21/06/2014, 07:20

... constructed a viscosity iterative scheme for ﬁnding solutions of a general system of variational inequalities 1.22 for two inverse-strongly accretive operators with a viscosity of modiﬁed extragradient ... element of the set of solutions for generalized mixed equilibrium problems, the set of solutions of common system of variational inclusions for two inverse-strongly accretive operators and common set ... Theorem 3.1 The conclusion of Corollary 3.3 can be obtained with the desired result easily Remark 3.4 Corollary 3.3 extends and improves the results in 31 Corollary 3.5 Let E be a uniformly...

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Báo cáo hóa học: " Research Article Existence and Stability of Antiperiodic Solution for a Class of Generalized Neural Networks with Impulses and Arbitrary Delays on Time Scales" ppt

Ngày tải lên : 21/06/2014, 07:20

... of generalized neural networks with impulses and arbitrary delays This class of generalized neural networks include many continuous or discrete time neural networks such as, Hopﬁeld type neural ... networks, cellular neural networks, Cohen-Grossberg neural networks, and so on To the best of our knowledge, the known results about the existence of anti-periodic solutions for neural networks are ... years; see 10–21 and references cited therein For example, antiperiodic trigonometric polynomials are important in the study of interpolation problems 22, 23 , and anti-periodic wavelets are...

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báo cáo hóa học:" Research Article Iterative Methods for Finding Common Solution of Generalized Equilibrium Problems and Variational Inequality Problems and Fixed Point Problems of a Finite Family of Nonexpansive Mappings" pdf

Ngày tải lên : 21/06/2014, 11:20

... is of wide interdisciplinary interest and importance Many iterative methods are purposed for ﬁnding a common element of the solutions of the equilibrium problem and ﬁxed point problem of nonexpansive ... From Theorem 3.1, we can conclude the desired conclusion Acknowledgment The authors would like to thank Professor Dr Suthep Suantai for his suggestion in doing and improving this paper References ... Springer, Berlin, Germany, 1999 H Iiduka and W Takahashi, “Weak convergence theorems by Ces´ ro means for nonexpansive a mappings and inverse-strongly-monotone mappings,” Journal of Nonlinear...

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báo cáo hóa học:" Research Article Approximation of Solutions for Second-Order m-Point Nonlocal Boundary Value Problems via the Method of Generalized Quasilinearization" pdf

Ngày tải lên : 21/06/2014, 11:20

... where k t, s is given by 1.5 Thus, 1.6 represents the correct form of the solution for the problem 1.1 and 1.3 Boundary Value Problems Preliminaries For x ∈ C1 0, , we define x x x , where x ... Generalized quasilinearization for nonlinear first order ordinary differential equations,” Nonlinear Times and Digest, vol 2, no 1, pp 1–9, 1995 10 R E Bellman and R E Kalaba, Quasilinearization ... t , t ∈ 0, Theorem 2.3 Assume that α, β ∈ C2 0, are, respectively, lower and upper solutions of 1.1 - 1.2 If f t, x, y ∈ C 0, × R × R is decreasing in x for each t, y ∈ 0, × R, then α ≤ β on...

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Báo cáo sinh học: " Research Article Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations" potx

Ngày tải lên : 21/06/2014, 16:20

... topological degree theory and some analysis skills, existence results of periodic solutions for 1.2 have been presented In general, most of the existing results are concentrated on lower-order ... lower-order neutral functional differential equations, while studies on higher-order neutral functional differential equations are rather infrequent, especially on higher-order p-Laplacian neutral functional ... we consider 1.3 for the case |c| / So throughout this paper, we always assume that |c| / 1, and the paper is organized as follows We first transform 1.3 into a system of first-order differential equations,...

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báo cáo hóa học:" Graphical Approximation of Common Solutions to Generalized Nonlinear Relaxed Cocoercive Operator Equation Systems with (A,eta)-accretive Mappings" doc

Ngày tải lên : 21/06/2014, 17:20

... results in recent literatures Keywords (A, η)-accretive mapping; Generalized resolvent operator technique; Generalized nonlinear relaxed cocoercive operator equation systems; New perturbed iterative ... a new perturbed iterative algorithm framework with errors for solving the nonlinear operator equation system (1.1) with (A, η)-accretive mappings and relaxed cocoercive operators and prove the ... (x, v) + b), where ρ, λ > are constants This formulation allows us to construct the following perturbed iterative algorithm framework with errors Algorithm 3.1 Step For an arbitrary initial point...

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Báo cáo hóa học: " Graphical Approximation of Common Solutions to Generalized Nonlinear Relaxed Cocoercive Operator" doc

Ngày tải lên : 21/06/2014, 20:20

... results in recent literatures Keywords (A, η)-accretive mapping; Generalized resolvent operator technique; Generalized nonlinear relaxed cocoercive operator equation systems; New perturbed iterative ... a new perturbed iterative algorithm framework with errors for solving the nonlinear operator equation system (1.1) with (A, η)-accretive mappings and relaxed cocoercive operators and prove the ... (x, v) + b), where ρ, λ > are constants This formulation allows us to construct the following perturbed iterative algorithm framework with errors Algorithm 3.1 Step For an arbitrary initial point...

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Báo cáo hóa học: " Research Article New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability" ppt

Ngày tải lên : 21/06/2014, 20:20

... Nth-order fuzzy differential equation, we can follow the proof of Theorem 4.2 to get the same results for derivatives of higher order Therefore, we can extend the presented argument for second-order ... thank Professor J J Nieto for his valuable remarks which improved the paper This research is supported by a grant from University of Tabriz References A Kandel and W J Byatt, “Fuzzy differential ... different types of derivatives, we get several solutions to fuzzy initial value problem for second-order fuzzy differential equations Theorem 4.2 has a crucial role in our strategy To extend the results...

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Báo cáo hóa học: "Research Article Optimality Conditions of Globally Efﬁcient Solution for Vector Equilibrium Problems with Generalized Convexity" pptx

Ngày tải lên : 22/06/2014, 02:20

... under conditions of generalized convexity Moreover, it appears that no work has been done on the Kuhn-Tucker condition of solution for VEPC This paper is the effort in this direction In the paper, ... 3.2 holds Remark 3.3 Corollary 3.2 generalizes and improves the recent results of Gong see 18, Theorem 3.3 Especially, Corollary 3.2 generalizes and improves in the following several aspects ... conditions for the vector equilibrium problems Firstly, we present the necessary and sufficient conditions for globally efficient solution of VEPC under generalized cone-subconvexlikeness Secondly, we prove...

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Báo cáo hóa học: " Research Article The Generalized Gronwall Inequality and Its Application to Periodic Solutions of Integrodifferential Impulsive Periodic System on Banach Space" potx

Ngày tải lên : 22/06/2014, 03:20

... for integrodifferential impulsive periodic system 1.1 First, by virtue of impulsive evolution operator corresponding to linear homogeneous impulsive system, we construct a new Poincar´ operator ... demonstrate the applicability of our result Linear impulsive periodic system In order to study the integrodifferential impulse periodic system, we first recall some results about linear impulse periodic ... integral operator, and B-norm are established In Section 4, the T0 -periodic P C-mild solution for integrodifferential impulsive periodic system 1.1 is introduced We construct the suitable Poincar´...

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Báo cáo hóa học: " Research Article The Method of Subsuper Solutions for Weighted p r -Laplacian Equation Boundary Value Problems" doc

Ngày tải lên : 22/06/2014, 03:20

... proof On the case of minr∈ R, R p r ≤ q r ≤ maxr∈ R, R p r , we consider − |u |p r −2 C|u|q r u u R −2 u r ∈ R, R , e r u R I 0, where q r , e r ∈ C R, R , R , minr∈ R, R p r ≤ q r ≤ maxr∈ ... r ≤ q r ≤ maxr∈ R, R p r , C is a positive constant Denote p− max p r , p r R, R p r 3.44 r R, R We have the following corollary Corollary 3.1 If p ∈ C R, 1, ∞ R is even, R satisﬁes C − p ... Applications where η1 ∈ 0, η is small enough For any r ∈ t0 , t0 r w r β p r −2 η1 , we have r β dr < t0 r w r u f r, u dr t0 p r −2 u dr 2.38 t0 From 2.36 and 2.38 , we have p r −2 β β < u p r −2 u on...

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Báo cáo hóa học: " Research Article Generalized Augmented Lagrangian Problem and Approximate Optimal Solutions in Nonlinear Programming" docx

Ngày tải lên : 22/06/2014, 18:20

... the generalized augmented Lagrangian problem We prove that the approximate stationary points of the generalized augmented Lagrangian problem converge to that of the original problems Our results ... (3.18) For this approximate generalized augmented Lagrangian function, it is necessary to consider error estimation between generalized augmented Lagrangian function and the approximate generalized ... Lagrangian problem converge to that of the original problem Our results generalized Huang and Yang’s corresponding results in [4, 6, 9] into approximate case which is more suitable for numerical...

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