on monodromically full points of configuration spaces of hyperbolic curves
Báo cáo hóa học: " Rodé’s theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces" pdf
... and Dhompongsa Fixed Point Theory and Applications 2011, 2011:34 http://www.fixedpointtheoryandapplications.com/content/2011/1/34 Page of 14 Proof This is an easy consequence of Proposition 3.4 ... Existence of nonexpansive retractions for amenable semigroups of nonexpansive mappings and nonlinear ergodic theorems in Banach spaces J Funct Anal 191, 62–75 (1999) Bridson, M, Haeiger, A: Metric Spaces ... article as: Anakkamatee and Dhompongsa: Rodé’s theorem on common fixed points of semigroup of nonexpansive mappings in CAT(0) spaces Fixed Point Theory and Applications 2011 2011:34 Submit your manuscript...
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Báo cáo hóa học: " Research Article An Order on Subsets of Cone Metric Spaces and Fixed Points of Set-Valued Contractions" docx
... Denote N M a collection of all nonempty subsets of M, C M a collection of all nonempty closed subsets of M and K M a collection of all nonempty sequentially compact subsets of M An element x ∈ ... complete cone metric spaces, ” Fixed Point Theory and Applications, vol 2008, Article ID 768294, 11 pages, 2008 D Wardowski, “Endpoints and fixed points of set-valued contractions in cone metric spaces, ” ... normal cone with constant one Fixed Point Theory and Applications Remark 2.12 Let M, d be a cone metric space, P a normal cone with constant one, T : M → C M , a set-valued map, the function f...
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Đề tài "On Fr´echet differentiability of Lipschitz maps between Banach spaces " docx
... closed convex hull of Ru is equal to the closed convex hull of Ru (see e.g [5, Lemma 2.12]) The proofs in [12] and [8] of existence of points of Fr´chet differentiability e of Lipschitz functions ... The definition of these null sets involves both the notions of category and measure This new concept even enables the proof of the existence of Fr´chet derivatives of Lipschitz functions between ... point of a surface then a suitable small local deformation of the surface causes a nonsmall perturbation of the function t → Df (γ(t)) Here we perform a finite number of such local perturbations (on...
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Báo cáo hóa học: "Common fixed points of R-weakly commuting maps in generalized metric spaces" ppt
... □ Common fixed point theorems In this section, we obtain some unique common fixed point results for four mappings satisfying certain generalized contractive conditions in the framework of a generalized ... References Mustafa, Z, Sims, B: Some remarks concerning D-metric spaces Proceedings of the International Conference on Fixed Point Theory and Applications, Valencia, Spain 189–198 (2003) Mustafa, ... common fixed point of f, g, S and T From (2.1), we obtain Abbas et al Fixed Point Theory and Applications 2011, 2011:41 http://www.fixedpointtheoryandapplications.com/content/2011/1/41 Page of...
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Báo cáo hóa học: " Stability of common fixed points in uniform spaces" ppt
... of the constructive approach of proof adopted by Jungck [19] Now onwards, a J-Lpschitz map (resp J-contraction) with Jungck constant μ will be called a J-Lipschitz (resp Jcontraction) with constant ... (convergence of fixed points of k-contractions) University of Pau (2006) preprint Barbet, L, Nachi, K: Sequences of contractions and convergence of fixed points Monografias del Seminario Matemático ... SP: Convergence of a sequence of fixed points in a uniform space Mat Vesnik 13(28), 131–141 (1976) Angelov, VG: A continuous dependence of fixed points of -contractive mappings in uniform spaces...
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Báo cáo hóa học: " Research Article Convergence of Iterative Sequences for Common Zero Points of a Family of m-Accretive Mappings in Banach Spaces" pdf
... JA zn , converges strongly to a solution x∗ of the equation Ax n≥0 3.29 References F E Browder, “Convergence of approximants to fixed points of nonexpansive non-linear mappings in Banach spaces, ” ... r If every nonempty, i closed, bounded convex subset of E has the fixed point property for a nonexpansive mapping, then {xn } converges strongly to a common solution of the equations Ai x for ... Hilbert spaces, ” Nonlinear Analysis: Theory, Methods & Applications, vol 70, no 5, pp 1956–1964, 2009 Y J Cho, S M Kang, and X Qin, “Approximation of common fixed points of an infinite family of nonexpansive...
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Báo cáo hóa học: " Research Article General Viscosity Approximation Methods for Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces" ppt
... Takahashi, “Strong convergence to common fixed points of families of nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol 211, no 1, pp 71–83, 1997 11 Y Song, R Chen, and ... 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 ... Huang, “Viscosity approximation of common fixed points for L-Lipschitzian semigroup of pseudocontractive mappings in Banach spaces, ” Journal of Inequalities and Applications, vol 2009, Article ID...
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Báo cáo hóa học: " Research Article Common Fixed Points of Weakly Contractive and Strongly Expansive Mappings in Topological Spaces" ppt
... strongly Fexpansive mappings,” Journal of Mathematical Analysis and Applications, vol 359, no 1, pp 126–134, 2009 G Jungck, “Common fixed points for noncontinuous nonself maps on nonmetric spaces, ” ... 3.8 wherein the strongly F-expansive condition on f with some other conditions implies that f and g have a unique common fixed point In Section 4, we define a new class of noncommuting self-maps ... n≥1 2.4 converges to 0, then lim f zn n→∞ 2.5 Journal of Inequalities and Applications ii Every lower semi-continuous function is lsca but not conversely One can check that the function f : X...
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báo cáo hóa học:" Research Article Quasigauge Spaces with Generalized Quasipseudodistances and Periodic Points of Dissipative Set-Valued Dynamic Systems" docx
... Dolinski, “Cone uniform, cone locally convex and cone ´ metric spaces, endpoints, set-valued dynamic systems and quasi-asymptotic contractions,” Nonlinear Analysis: Theory, Methods & Applications, vol ... dynamic systems of Caristi’s type in quasimetric spaces haS been obtained by Ciri´ 31, Theorem Investigations concerning the existence of fixed points and endpoints and convergence of dynamic processes ... quasimetric spaces This paper is a continuation of 37–41 Quasigauge Spaces The following terminologies will be much used Definition 2.1 Let X be a nonempty set A quasipseudometric on X is a map...
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Báo cáo hóa học: " Research Article Fixed Points of Multivalued Maps in Modular Function Spaces" potx
... -type condition, and C is a nonempty ρ-bounded subset of the modular function space Lρ We denote that C C is a collection of all nonempty ρ-closed subsets of C, and K C is a collection of all nonempty ... Edelstein, On fixed and periodic points under contractive mappings,” Journal of the London Mathematical Society, vol 37, pp 74–79, 1962 S Kasahara, On some generalizations of the Banach contraction theorem,” ... and λ ∈ 0, Fixed Points of w-Contractive-Type Maps In 21 the authors introduced the concept of w-distance in metric spaces which they connected to the existence of fixed point of single and multivalued...
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Báo cáo hóa học: " Research Article Common Fixed Points of Generalized Contractive Hybrid Pairs in Symmetric Spaces" ppt
... International Journal of Mathematics and Mathematical Sciences, vol 9, no 4, pp 771–779, 1986 G Jungck, “Common fixed points for noncontinuous nonself maps on nonmetric spaces, ” Far East Journal of ... proves that fx is a common fixed point of f, g, S, and T Uniqueness follows from 2.21 and g2 A control function Φ : R → R is a continuous monotonically increasing function that satisfies Φ 2t ≤ ... condition of mappings in fixed point considerations,” Publications de l’Institut Math´ matique Nouvelle S´ rie, vol 32 46 , pp 149–153, 1982 e e G Jungck, “Compatible mappings and common fixed points, ”...
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Báo cáo hóa học: " Research Article On Fixed Points of Maximalizing " pot
... result gives a characterization of elements of the w-o chain of aG-iterations Lemma 2.3 Given G : X → X and a ∈ X, let C be the w-o chain of aG-iterations Then the elements of C have the following ... exist Thus the hypotheses of Proposition 3.2 are valid The results of Lemma 2.3 are valid also when C is replaced by the w-o chain C a of G-iterations of a As a consequence of these results and Lemma ... appear in Nonlinear Studies a S Heikkil¨ , “Monotone methods with applications to nonlinear analysis,” in Proceedings of the 1st a World Congress of Nonlinear Analysts, vol 1, pp 2147–2158, Walter...
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Báo cáo hóa học: " Research Article Implicit Iteration Process for Common Fixed Points of Strictly Asymptotically Pseudocontractive Mappings in Banach Spaces" doc
... set F of common fixed points of {Sn } and {Tn } is closed and so x∗ ∈ F This completes the proof of Theorem 2.1 Remark 2.2 Theorem 2.1 is a generalization and improvement of the corresponding ... infn → ∞ αn , then the conclusions of Theorem 2.1 for sequence {xn } defined by 2.39 still hold References F E Browder and W V Petryshyn, “Construction of fixed points of nonlinear mappings in Hilbert ... common fixed points of a finite family of strictly pseudocontractive mappings,” Journal of Mathematical Analysis and Applications, vol 329, no 2, pp 766–776, 2007 M O Osilike, “Implicit iteration...
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Báo cáo hóa học: " Research Article Approximating Common Fixed Points of Lipschitzian Semigroup in Smooth Banach Spaces" pdf
... the fixed point set of a nonexpansive mapping on a compact convex subset of a smooth Banach space is a sunny nonexpansive retract of C and the sunny nonexpansive retraction of C onto F S is unique ... representation of S as Lipschitzian mappings from a nonempty weakly compact convex subset C of a Banach space E into C, with the uniform Lipschitzian condition lims k s ≤ on the Lipschitz constants of ... A subset D of B is said to be a sunny nonexpansive retract of B if there exists a sunny nonexpansive retraction P of B onto D We know that if E is smooth and P is a retraction of B onto D, then...
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Báo cáo hóa học: " Research Article Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces" ppt
... “Approximation methods for common fixed points of nonexpansive mappings in Hilbert e spaces, ” Journal of Mathematical Analysis and Applications, vol 325, no 1, pp 469–479, 2007 R A Rashwan, On the convergence ... common fixed point of S and T This completes the proof of the theorem Acknowledgment The work was partially supported by the Emphases Natural Science Foundation of Guangdong Institution of Higher ... convergence of Mann iterates to a common fixed point for a pair of mappings,” Demonstratio Mathematica, vol 23, no 3, pp 709–712, 1990 Y Song and R Chen, “Iterative approximation to common fixed points of...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems for Common Fixed Points of Multistep Iterations with Errors in Banach Spaces" pdf
... with error member,” Journal of Mathematical Analysis and Applications, vol 259, no 1, pp 18–24, 2001 J Schu, “Iterative construction of fixed points of strictly pseudocontractive mappings,” Applicable ... a, Proof The proof is clear by Lemma 2.3 Lemma 3.2 Let X be a uniformly convex Banach space, let C be a nonempty closed bounded convex subset of X, and let Ti : C → C be m asymptotically nonexpansive ... 2, , m} The purpose of this paper is to establish a strong convergence theorem for common fixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in...
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Báo cáo hóa học: " Research Article Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces" doc
... “Approximation methods for common fixed points of nonexpansive mappings in Hilbert e spaces, ” Journal of Mathematical Analysis and Applications, vol 325, no 1, pp 469–479, 2007 R A Rashwan, On the convergence ... common fixed point of S and T This completes the proof of the theorem Acknowledgment The work was partially supported by the Emphases Natural Science Foundation of Guangdong Institution of Higher ... convergence of Mann iterates to a common fixed point for a pair of mappings,” Demonstratio Mathematica, vol 23, no 3, pp 709–712, 1990 Y Song and R Chen, “Iterative approximation to common fixed points of...
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Báo cáo hóa học: " APPROXIMATING COMMON FIXED POINTS OF TWO ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN BANACH SPACES" doc
... asymptotically quasi-nonexpansive mappings to a common fixed point of the mappings defined on a nonempty closed convex subset of a Banach space, and (ii) a sufficient condition for the convergence of the Ishikawa-type ... n xn , n≥1 (1.5) converges strongly to some common fixed point of S and T The purpose of this paper is to establish: (i) necessary and sufficient conditions for the convergence of the Ishikawa-type ... generalization of the class of nonexpansive maps They established that if K is a nonempty closed convex bounded subset of a uniformly convex Banach space E and T is an asymptotically nonexpansive...
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Báo cáo hóa học: " REDUCING THE NUMBER OF FIXED POINTS OF SOME HOMEOMORPHISMS ON NONPRIME 3-MANIFOLDS" ppt
... types, one of which is that of slide homeomorphisms In [9], the author considered the Nielsen numbers and fixed points of homeomorphisms which are compositions of m slide homeomorphisms on nonprime ... bound in Section can be further lowered, that is, the number of fixed points can be further reduced Conventions and notations In this section, we will make necessary conventions in notation, which ... the θ-direction of B(i, j;k) is mapped by s j into the θdirection of B( j,∗;∗) if I(i, j;k) > 0; the θ-direction of B(i, j;k ) is mapped by s j into opposition of the θ-direction of B( j,∗;∗)...
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Báo cáo hóa học: " FIXED POINTS OF CONDENSING MULTIVALUED MAPS IN TOPOLOGICAL VECTOR SPACES" pot
... the Kuratowski function is a c-measure of noncompactness on a subset of a paranormed space under certain conditions An example of a pseudocondensing map in the nonlocally convex topological vector ... c-measure of noncompactness is said to be regular provided that ψ(M) = if and only if M is precompact In particular, if c = 1, then ψ is called a measure of noncompactness on K 110 Fixed points of condensing ... condensing maps Definition 3.2 Let K be a closed convex subset of a topological vector space E, Y a nonempty subset of K, and ψ a c-measure of noncompactness on K An upper semicontinuous map F : Y...
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