Approximate methods for fixed points of nonexpansive mappings and nonexpansive semigroups in hilbert spaces
Báo cáo hóa học: " Research Article General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces" ppt
... results involving general viscosity approximation processes for nonexpansive mapping, nonexpansive semigroup, and contractive mapping to nonexpansive semigroup and φ-strongly pseudocontractive mapping ... 3.1 and 3.2 are valid for nonexpansive mappings Thus, we have the following mean ergodic assertions of general viscosity iteration process for nonexpansive mappings in Hilbert spaces Corollary ... mappings in Banach spaces,” Journal of Mathematical Analysis and Applications, vol 323, no 2, pp 1402–1416, 2006 R Chen and H He, Viscosity approximation of common fixed points of nonexpansive semigroups...
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Approximate methods for fixed points of nonexpansive mappings and nonexpansive semigroups in hilbert spaces
... basic for the development of fixed points of contraction mapping in finite dimensional spaces to many other classes of mappings, for instance Lipschitzian mappings, pseudocontractive mappings in Hilbert ... and nonexpansive semigroups in Hilbert spaces 4 Chapter Preliminaries 1.1 1.1.1 Approximative Methods For Fixed Points of Nonexpansive Mappings On Some Properties of Hilbert Spaces Definition ... method in mathematical programming for finding common fixed points of a nonexpansive mapping on a closed and convex subset C or common fixed points of two nonexpansive mappings on two closed and convex...
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Báo cáo hóa học: " Research Article Browder’s Convergence for Uniformly Asymptotically Regular Nonexpansive Semigroups in Hilbert Spaces" docx
... finding nearest common fixed points of nonexpansive mappings in Hilbert spaces,” Nonlinear Analysis, vol 54, no 8, pp 1417–1426, 2003 L P Belluce and W A Kirk, Nonexpansive mappings and fixed-points ... following are satisfied NS1 For each t ≥ 0, T t is a nonexpansive mapping on C NS2 T s t T s ◦ T t for all s, t ≥ NS3 For each x ∈ C, the mapping t → T t x from 0, ∞ into C is strongly continuous ... fixed point theorem for a commuting family of nonexpansive mappings,” Pacific Journal of Mathematics, vol 53, pp 59–71, 1974 10 R DeMarr, “Common fixed points for commuting contraction mappings,”...
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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
... method for finding a common element of the set of solutions of problem (1.2) and the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for ... finding a common element of the set of solutions of a generalized equilibrium problem, the set of fixed points of a family of infinitely nonexpansive mappings, and the set of solutions of the variational ... this article as: Peng: Some extragradient methods for common solutions of generalized equilibrium problems and fixed points of nonexpansive mappings Fixed Point Theory and Applications 2011 2011:12...
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Báo cáo hóa học: " Research Article A New Approximation Method for Solving Variational Inequalities and Fixed Points of Nonexpansive Mappings" docx
... approximation methods for nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol 298, no 1, pp 279–291, 2004 G Marino and H K Xu, A general iterative method for nonexpansive ... following variational inequality: f − I q, p − q ≤ ∀p ∈ Ω 3.31 Taking A I, γ and f ≡ u ∈ C is a constant in Theorem 3.1, we get the results of Iiduka and Takahashi Journal of Inequalities and Applications ... of the set of fixed points of nonexpansive mapping and the set of solutions of the variational inequality for an inverse strongly monotone mapping say x ∈ C which solves the variational inequality...
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Báo cáo hóa học: " Research Article Strong Convergence of Modified Implicit Iteration Processes for Common Fixed Points of Nonexpansive Mappings" potx
... αn > 0, the general composite implicit iteration scheme (1.4) can be employed for the approximation of common fixed points of a finite family of nonexpansive mappings For the same reason, the operator ... < 1, the general composite implicit iteration scheme (1.5) can be employed for the approximation of common fixed points of a finite family of nonexpansive mappings 4 Fixed Point Theory and Applications ... Tn mod N , for common fixed points of a finite family of nonexpansive mappings {Ti }N in Hilbert spaces and to prove strong convergence theorems i= We will use the notation (1) for weak convergence...
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Báo cáo hóa học: " Research Article Approximating Fixed Points of Nonexpansive Mappings in Hyperspaces" pptx
... nonexpansive mappings, ” Indian Journal of Pure and Applied Mathematics, vol 26, no 10, pp 953–957, 1995 [7] H F Senter and W G Dotson Jr., Approximating fixed points of nonexpansive mappings, ” Proceedings ... “Multivalued nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol 43, no 6, pp 693–706, 2001 [11] L.-C Zeng, “A note on approximating fixed points of nonexpansive ... mappings, ” Proceedings of the American Mathematical Society, vol 44, no 2, pp 375–380, 1974 [8] W Takahashi and G.-E Kim, Approximating fixed points of nonexpansive mappings in Banach spaces,” Mathematica...
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Báo cáo hóa học: " Research Article Approximating Fixed Points of Nonexpansive Mappings in Hyperspaces" pdf
... nonexpansive mappings, ” Indian Journal of Pure and Applied Mathematics, vol 26, no 10, pp 953–957, 1995 [7] H F Senter and W G Dotson Jr., Approximating fixed points of nonexpansive mappings, ” Proceedings ... “Multivalued nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol 43, no 6, pp 693–706, 2001 [11] L.-C Zeng, “A note on approximating fixed points of nonexpansive ... mappings, ” Proceedings of the American Mathematical Society, vol 44, no 2, pp 375–380, 1974 [8] W Takahashi and G.-E Kim, Approximating fixed points of nonexpansive mappings in Banach spaces,” Mathematica...
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Báo cáo hóa học: " Research Article Approximation of Fixed Points of Nonexpansive Mappings and Solutions of Variational " ppt
... Pacific Journal of Mathematics, vol 86, no 2, pp 427–436, 1980 11 C E Chidume, J Li, and A Udomene, “Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings, ” ... differentiable a and T : K → K is nonexpansive with F T / ∅, then F T is a nonexpansive retract of K Let K be a nonempty closed convex and bounded subset of a Banach space E and let the diameter of K be ... Journal of Inequalities and Applications References H K Xu and T H Kim, “Convergence of hybrid steepest-descent methods for variational inequalities,” Journal of Optimization Theory and Applications,...
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Báo cáo hóa học: " Research Article Approximation of Fixed Points of Nonexpansive Mappings and Solutions of Variational Inequalities" docx
... Pacific Journal of Mathematics, vol 86, no 2, pp 427–436, 1980 11 C E Chidume, J Li, and A Udomene, “Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings, ” ... differentiable a and T : K → K is nonexpansive with F T / ∅, then F T is a nonexpansive retract of K Let K be a nonempty closed convex and bounded subset of a Banach space E and let the diameter of K be ... Journal of Inequalities and Applications References H K Xu and T H Kim, “Convergence of hybrid steepest-descent methods for variational inequalities,” Journal of Optimization Theory and Applications,...
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Báo cáo hóa học: "STRONG CONVERGENCE TO COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS WITHOUT COMMUTATIVITY ASSUMPTION" pptx
... deal with the strong convergence to common fixed points of two nonexpansive mappings in a Hilbert space We consider an iteration scheme for nonexpansive mappings without commutativity assumption ... Strong convergence to common fixed points of families of nonexpansive mappings, Journal of Mathematical Analysis and Applications 211 (1997), no 1, 71–83 [9] R Wittmann, Approximation of fixed points ... converge strongly to a common fixed point of the mappings Ti , i = 1,2 Preliminaries Let C be a closed convex subset of a Hilbert space H and let S and T be nonexpansive mappings of C into itself Then...
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Báo cáo hóa học: " CONVERGENCE THEOREMS FOR FIXED POINTS OF DEMICONTINUOUS PSEUDOCONTRACTIVE MAPPINGS" pdf
... D of H 70 Fixed points of demicontinuous pseudocontractive maps In what follows, we will make use of the following lemma and theorems Lemma 2.1 [2] Let {λn }, {γn }, and {αn } be sequences of ... 68 Fixed points of demicontinuous pseudocontractive maps Closely related to the class of pseudocontractive mappings is the class of accretive mappings A mapping A ... Txn − λn θn xn − x0 − cn xn − un , (3.2) 72 Fixed points of demicontinuous pseudocontractive maps for all positive integers n, where {un } is a sequence of bounded error terms If either F(T) = ∅...
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Báo cáo hóa học: " Research Article Common Fixed Points of Weakly Contractive and Strongly Expansive Mappings in Topological Spaces" ppt
... of fixed points of f resp., g is denoted by F f resp., F g A point x ∈ M is a coincidence point common fixed point of f and g if fx gx x fx gx The set of coincidence points of f and g is denoted ... C f, g Common Fixed Point Theorems for Commuting Maps In this section we extend some results in to the setting of two mappings having a unique common fixed point Theorem 3.1 Let X be a topological ... Journal of Inequalities and Applications If X is a metric space with metric d and F d, then we call f, respectively, weakly contractive and strongly expansive Let f, g : X → X The set of fixed points...
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Báo cáo hóa học: " The modified general iterative methods for nonexpansive semigroups in banach spaces†" ppt
... proved Reich’s results hold in reflexive Banach spaces which have a weakly continuous duality mapping In the last ten years or so, the iterative methods for nonexpansive mappings have recently been ... Cite this article as: Wangkeeree and Preechasilp: The modified general iterative methods for nonexpansive semigroups in banach spaces† Fixed Point Theory and Applications 2011 2011:76 Page 15 of ... solution of the minimization problem (1.7) provided the sequence {an} satisfies certain conditions Using the viscosity approximation method, Moudafi [9] introduced the following iterative iterative...
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Báo cáo hóa học: " Research Article An Application of Hybrid Steepest Descent Methods for Equilibrium Problems and Strict Pseudocontractions in Hilbert Spaces" pdf
... of Inequalities and Applications 15 L.-C Ceng, S Al-Homidan, Q H Ansari, and J.-C Yao, An iterative scheme for equilibrium problems and fixed point problems of strict pseudo-contraction mappings,” ... Springer, Berlin, Germany, 1999 S Plubtieng and R Punpaeng, “A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and ... “Construction of fixed points of nonlinear mappings in Hilbert space,” Journal of Mathematical Analysis and Applications, vol 20, pp 197–228, 1967 15 S.-S Chang, “Some problems and results in the study of...
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