Báo cáo hóa học: " FIXED POINTS, STABILITY, AND HARMLESS PERTURBATIONS" pdf

... (3.2), and (3.15)hold,theneverysolutionof(2.2)isbounded.If,in addition, (3.3) holds, then every solution tends to zero as t →∞. 42 Fixed points, stability, and harmless perturbations and there ... e −  t 0 a(s)ds  0 −L p(s)  0 s g  ψ(u)  duds −  t 0 e −  t v a(s)ds a(v)  0 −L p(s)  v v+s g  φ(u)  dudsdv. (3.12) FIXED POINTS, STABILITY, AND HARMLESS PERTURBAT...

Ngày tải lên: 23/06/2014, 00:20

... Fixed Point Theory and Applications, vol. 2008, Article ID 406368, 8 pages, 2008. 3 C. Chen and C. Zhu, Fixed point theorems for n times reasonable expansive mapping,” Fixed Point Theory and ... β k x k sgn e k , and equivalently, if 1 − β k |e k |≤ 2|x k | and e k x k x k − z k x k ≥ 0withe k /  0, and x 2 k1 − x 2 k  0ife k  x k − z k  0. 2.4 Fixed Point Th...

Ngày tải lên: 21/06/2014, 20:20

... G ´ orniewicz and Nistri [8], and references therein. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2006, Article ID 41480, Pages 1–14 DOI 10.1155/FPTA/2006/41480 2 Fixed ... (3.17) 6 Fixed points and controllability in delay systems 3. Examples and remarks In this section, we give several examples to illustrate how to apply Theorem 2.3 to some spec...

Ngày tải lên: 22/06/2014, 22:20

... <s<min{(ab) −1/(b−1) ,s 0 }.  232 Fixed points and coincidence points for x, y in X, inequalities (3.4 )and( 3.5) are true. Then {Sx : x ∈ X and Sx ∈ Fx} and {Tx : x ∈ X and Tx ∈ Gx} are nonempty and equal, provided ... X. Then {Sx : x ∈ X and Sx ∈ Fx} and {Tx : x ∈ X and Tx ∈ Gx} are nonempty, closed sets and are equal. Proof. Let A={Sx : x ∈ X and Sx ∈ Fx} and...

Ngày tải lên: 23/06/2014, 00:20

... ψ(Ᏸ) ⊆ Ꮾ.However,wedohave ψ(᏷) ⊆ Ꮾ. FIXED POINTS, PERIODIC POINTS, AND COIN-TOSSING SEQUENCES FOR MAPPINGS DEFINED ON TWO-DIMENSIONAL CELLS DUCCIO PAPINI AND FABIO ZANOLIN Received 12 January ... Ꮾ − 1 and our claim is proved. We are now in position to apply a result already obtained in [43] and statements (a 1 ), (a 2 ), and (a 3 ), respectively, follow from statements (e 1 )...

Ngày tải lên: 23/06/2014, 00:20

... be two nonexpansive mappings, and we modified (1.3) and (1.4) as fol- lows: Lin et al. Fixed Point Theory and Applications 2011, 2011:49 http://www.fixedpointtheoryandapplications.com/content/2011/1/49 Page ... inf n → ∞ α n (1 − α n ) > 0 and lim inf n → ∞ β n (1 − β n ) > 0 . Lin et al. Fixed Point Theory and Applications 2011, 2011:49 http://www.fixedpointtheoryandappli...

Ngày tải lên: 21/06/2014, 00:20

... Point Indices and Transfers, and Path Fields” and it contains, in addition to the contents of this manuscript, a formula analogous to (1.1), which relates to Dold’s fixed point transfers and a study ... 118 (1965), 180–191. [4] , The Lefschetz Fixed Point Theorem, Scott, Foresman, Illinois, 1971. 6 Fixed point indices and manifolds with collars Equations (3.10 )and( 3.12)withr re...

Ngày tải lên: 22/06/2014, 22:20

... convex, and compact}. 3. Main Results Consider the following statements. [Nash-1]. Given Ᏻ ={I,S i ,v i }, suppose that each set S i ∈ Ᏼ and that objective functions are continuous in its domains and ... nonempty, convex, and compact set X ⊂ R m and a continuous function f : X → X, consider a game Ᏻ with two players I ={A,B}, which are characterized by the sets of stra tegies S A =...

Ngày tải lên: 22/06/2014, 22:20

... 108 Fixed points of condensing maps For a subset K of a topological vector space E, the closure, the convex hull, and the closed convex hull of K in E are denoted by K,coK,andcoK, respectively. ... two topological spaces X and Y, an upper semicontinuous map F : X → k(Y)issaidtobeadmissible if there exist a topological space Z and continuous functions p : Z → X and q : Z → Y with the...

Ngày tải lên: 23/06/2014, 00:20

... Shahzad and A. Lone 171 Note that ∆ X,α () ≤∆ X,χ () (2.8) and so  α (X) ≥ χ (X). (2.9) Let C be a nonempty subset of X, Ᏸ adirectedset ,and{ x α : α ∈ Ᏸ} a bounded net in X.Weuser(C, {x α })andA(C,{x α }) ... instance, the works of Benavides and Ram ´ ırez [2], Kirk and Massa [6], Lami Dozo [7], Lim [8], Markin [10], Xu [12], and the references therein. Recently, Benavides and...

Ngày tải lên: 23/06/2014, 00:20