CONVERGENCE ANALYSIS OF A PROXIMAL POINT ALGORITHM FOR MINIMIZING DIFFERENCES OF FUNCTIONS
Báo cáo hóa học: " Research Article The Over-Relaxed A-Proximal Point Algorithm for General Nonlinear Mixed Set-Valued Inclusion Framework" docx
... 3.6 For a suitable choice of the mappings A, η, F, M, Ik , and space X, then the Algorithm 3.5 can be degenerated to the hybrid proximal point algorithm 16, 17 and the over-relaxed A-proximal point ... generalized version of the over-relaxed proximal point algorithm and its applications to approximation solvability of the inclusion problem of the form 2.1 based on the A, η -accretive set-valued mapping ... denote the single-valued generalized duality mapping by Jq in real uniformly smooth Banach space X unless otherwise stated We consider the following general nonlinear mixed set-valued inclusion...
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Báo cáo hóa học: " Research Article Hierarchical Convergence of a Double-Net Algorithm for Equilibrium Problems and Variational Inequality Problems" ppt
... Muglia, and Y Yao, “On a two-step algorithm for hierarchical fixed point problems and variational inequalities,” Journal of Inequalities and Applications, vol 2009, Article ID 208692, 13 pages, ... Fix T such that Ax, x − x ≥ 0, ∀x ∈ Fix T , 1.7 a variational inequality studied by Yamada and Ogura 10 A Example 1.3 Let A be a maximal monotone operator Taking T Jλ : I A −1 and P I − γ∇ψ, ... 20 Y Yao, Y.-C Liou, and J.-C Yao, A new hybrid iterative algorithm for fixed-point problems, variational inequality problems, and mixed equilibrium problems, ” Fixed Point Theory and Applications,...
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Báo cáo hóa học: " Research Article A New Hybrid Algorithm for a System of Mixed Equilibrium Problems, Fixed Point Problems for Nonexpansive Semigroup, and Variational Inclusion Problem" ppt
... 2010, Article ID 383740, 19 pages, 2010 11 P Cholamjiak and S Suantai, A new hybrid algorithm for variational inclusions, generalized equilibrium problems, and a finite family of quasi -nonexpansive ... P Katchang and P Kumam, A general iterative method of fixed points for mixed equilibrium problems and variational inclusion problems, Journal of Inequalities and Applications, vol 2010, Article ... 2010, Article ID 895907, 23 pages, 2010 30 T Jitpeera and P Kumam, A new hybrid algorithm for a system ofequilibrium problems and variational inclusion, ” Annali dell’Universita di Ferrara In...
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Báo cáo hóa học: " Research Article Convergence Analysis of a Mixed Controlled l2 − l p Adaptive Algorithm" potx
... Unfortunately, a small value of the step size will make the algorithm converge very slowly, and a large value of the controlling parameter will make the LMS algorithm essentially dominant The rest of ... “Performance analysis of the lp norm back propagation algorithm for adaptive equalisation,” IEE Proceedings, Part F: Radar and Signal Processing, vol 140, no 1, pp 43–47, 1993 [13] R A Vargas ... can also be justified in several practical instances are used during the conver thegence analysis of the mixed controlled l2 − l p algorithm For example, these are quite similar to what is usually...
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Báo cáo hóa học: "Research Article Stability and Convergence Results Based on Fixed Point Theory for a Generalized Viscosity Iterative Scheme" pot
... delays through fixed point theory, ” Fixed Point Theory and Applications, vol 2008, Article ID 480187, 20 pages, 2008 13 A T M Lau, H Miyake, and W Takahashi, “Approximation of fixed points for amenable ... iteration for nonexpansive mappings,” Fixed Point Theory and Applications, vol 2008, Article ID 649162, pages, 2008 Y Qing and B E Rhoades, “T -stability of Picard iteration in metric spaces,” Fixed ... final version of the manuscript References T A Burton, Stability by Fixed Point Theory for Functional Differential Equations, Dover Publications, Mineola, NY, USA, 2006 Fixed Point Theory and Applications...
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Báo cáo hóa học: "Research Article An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone " pdf
... Fixed Point Theory and Applications more general Banach spaces; see Kamimura and Takahashi and Ohsawa and Takahashi In 2004, Kamimura et al considered the algorithm 1.2 in a uniformly smooth and ... of a maximal monotone operator and the solution set of the variational inequality problem for an inverse- strongly- monotone operator in a 2-uniformly convex and uniformly smooth Banach space Then, ... of a maximal monotone operator and the set of solution of the variational inequality problem for an inverse- strongly- monotone operator in a 2-uniformly convex and uniformly smooth Banach space...
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Báo cáo hóa học: " Research Article A Hybrid Projection Algorithm for Finding Solutions of Mixed Equilibrium Problem and Variational Inequality Problem" pptx
... of two variational inequalities VI C ,A and VI C,B PC ; solution of a system of two mixed equilibrium problems Tn Trn and Vn solution of a mixed equilibrium problem and a variational inequality ... prove a strong convergence theorem to approximate a fixed point of S that is also a solution of a mixed equilibrium problem and a solution of a variational inequality V I C, B One can note that ... Journal of Mathematical Analysis and Applications, vol 20, pp 197–228, 1967 F E Browder, “Nonexpansive nonlinear operators in a Banach space,” Proceedings of the National Academy of Sciences of the...
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Báo cáo hóa học: " Research Article Approximate Proximal Point Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert Spaces" potx
... PΩ x − PΩ y for all x, y ∈ H, iv xn → x0 weakly and P xn → y0 strongly imply that P x0 y0 Finding zeroes of maximal monotone operators is the central and important topic in nonlinear functional ... following set-valued equation: ∈ T z, 1.5 where T : Ω → 2H is a maximal monotone operator, is the proximal point algorithm which, starting with any point x0 ∈ H, updates xn iteratively conforming ... minimizer of f nearest to u 3.8 10 Journal of Inequalities and Applications Proof As shown in the proof lines of Theorem 3.1, ∂f : H → H is a maximal monotone operator, and so the conclusion of Theorem...
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Báo cáo hóa học: " Research Article A New Hybrid Algorithm for Variational Inclusions, Generalized Equilibrium Problems, and a Finite Family of Quasi-Nonexpansive Mappings" pptx
... Journal of Mathematical Analysis and Applications, vol 279, no 2, pp 372– 379, 2003 G Bigi, M Castellani, and G Kassay, A dual view of equilibrium problems, Journal of Mathematical Analysis and ... Theory and Applications 32 W Nilsrakoo and S Saejung, “Strong convergence theorems for a countable family of quasiLipschitzian mappings and its applications,” Journal of Mathematical Analysis and Applications, ... Guu, and J.-C Yao, Hybrid approximate proximal point algorithms for variational inequalities in Banach spaces,” Journal of Inequalities and Applications, vol 2009, Article ID 275208, 17 pages,...
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Báo cáo hóa học: " Research Article A Note on Convergence Analysis of an SQP-Type Method for Nonlinear Semidefinite Programming" ppt
... “The rate of convergence of the augmented Lagrangian method for nonlinear semidefinite programming,” Mathematical Programming, 2008 D Noll, “Local convergence of an augmented Lagrangian method for ... Optimality conditions Let the Lagrangian function of 1.1 be L x, λ, μ f x λ, h x μ, g x 2.8 Journal of Inequalities and Applications Robinson’s constraint qualification CQ is said to hold at a feasible ... then any element in ∂F x, λ, μ is nonsingular, where F is defined by 2.11 Convergence analysis of the SQP-type method In this section, we analyze the local quadratic convergence rate of an SQP-type...
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Báo cáo hóa học: " Research Article Approximate Proximal Point Algorithms for Finding Zeroes of Maximal Monotone Operators in Hilbert Spaces" ppt
... PΩ x − PΩ y for all x, y ∈ H, iv xn → x0 weakly and P xn → y0 strongly imply that P x0 y0 Finding zeroes of maximal monotone operators is the central and important topic in nonlinear functional ... following set-valued equation: ∈ T z, 1.5 where T : Ω → 2H is a maximal monotone operator, is the proximal point algorithm which, starting with any point x0 ∈ H, updates xn iteratively conforming ... minimizer of f nearest to u 3.8 10 Journal of Inequalities and Applications Proof As shown in the proof lines of Theorem 3.1, ∂f : H → H is a maximal monotone operator, and so the conclusion of Theorem...
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Báo cáo hóa học: " Research Article Existence of Solutions and Convergence of a Multistep Iterative Algorithm for a System of Variational Inclusions with (H,η)-Accretive Operators" pot
... spaces Kazmi and Bhat [34] introduced a system of nonlinear variational- like inclusions and gave an iterative algorithm for finding its approximate solution Fang and Huang [35] and Fang et al ... of Inequalities and Applications [11] S Adly, “Perturbed algorithms and sensitivity analysis for a general class of variational inclusions, ” Journal of Mathematical Analysis and Applications, ... Theory and Applications can be modeled as a system of variational inequalities Ansari et al [31] introduced and studied a system of vector equilibrium problems and a system of vector variational...
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Báo cáo hóa học: "A FIXED POINT THEOREM FOR A CLASS OF DIFFERENTIABLE STABLE OPERATORS IN BANACH SPACES" potx
... existence of an inverse mapping for a given nonlinear expanding mapping of X into itself involves a specific fixed point theorem As a corollary of our main Theorem 5.1, we obtain the following fixed point ... [5] V Azhmyakov, Stable Operators in Analysis and Optimization, Peter Lang, Berlin, 2005 [6] C Baiocchi and A Capelo, Variational and Quasivariational Inequalities Applications to Free Boundary ... differentiable expanding operators in real Banach spaces e Some examples of stable operators In this section we give some examples of stable and strongly stable operators First we consider the case in...
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Underlying paths and local convergence behaviour of path following interior point algorithm for SDLCP and SOCP
... Predictor-Corrector Algorithm General Theory for Asymptotic Analyticity of Off-Central Path for SDLCP Analysis of Off-Central Paths for SOCP 36 63 3.1 Off-Central Path for SOCP ... related to the local convergence behaviour of path- following interior point algorithm [26, 22] In Chapter 2, we consider off-central path for SDLCP We show the existence of off-central path (starting ... going to study the off-central paths defined in the ”ODE” way for SDLCP and SOCP This study is directly related to the asymptotic behaviour of path- following interior point algorithm 6 1.1 Notations...
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CONVERGENCE ANALYSIS OF A PROXIMAL POINT ALGORITHM FOR MINIMIZING DIFFERENCES OF FUNCTIONS
... property at each point of dom ∂ C f A Generalized Proximal Point Algorithm for Minimizing Differences of Functions We focus on the convergence analysis of a proximal point algorithm for solving ... variational analysis in analyzing nonsmooth optimization algorithms, we introduce and study convergence analysis of a proximal point algorithm for minimizing differences of functions We are able to ... past three decades, Pham Dinh Tao, Le Thi Hoai An and many others have contributed to providing mathematical foundation for the algorithm and making it accessible for applications The (DCA)...
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