lists vectors maps and sets

Đề tài " Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow " potx

Ngày tải lên : 28/03/2014, 22:20

... are called ‘harmonic maps. ’ In this situation, the harmonic maps are precisely the rational maps and their complex conjugates (see [2, (11.5)]) In particular, being conformal maps from a surface, ... Wloc (R2 \S) as n → ∞ REPULSION AND QUANTIZATION IN ALMOST-HARMONIC MAPS 469 We refer to the map u∞ : S → S as a ‘body’ map, and the maps ω i : S → S as ‘bubble’ maps The points {x1 , , xm } ... k ≥ and suﬃciently large n Almost-harmonic maps — the proof of Theorem 1.2 The goal of this section is to understand the structure of maps whose tension ﬁeld is small when measured in L2 , and...

71
342
0

fordy, wood. (eds.) harmonic maps and integrable systems (1994)(316s)

Ngày tải lên : 24/04/2014, 16:50

... Contents of Fordy Wood file:///tmp/index.htm The twistor approach Twistors, nilpotent orbits and harmonic maps, P.Z Kobak, p 295 Index Index of terms used in the articles, p 323 This page is maintained...

316
583
0

Báo cáo hóa học: " The existence of fixed points for new nonlinear multivalued maps and their applications" potx

Ngày tải lên : 20/06/2014, 22:20

... [0, ) and (3.14) implies (3.15), and the conclusion of Corollary 3.3 follows from Corollary 3.2 (b) Theorems 3.1-3.4 and Corollaries 3.1 and 3.2 all generalize and improve [5, Theorem 3.4] and ... metric space and p: X × X ® [0, ∞) a τ-function For each x Î X and A ⊆ X, let d(x, A) = inf d(x, y), y∈A and p(x, A) = inf p(x, y) y∈A Denote by N (X) the family of all nonempty subsets of X, C ... ∅ Remark 4.2 (a) Corollary 4.3 and Corollary 4.4 are indeed equivalent (b) Theorems 4.1-4.6 and Corollaries 4.1-4.4 all generalize and improve [5, Theorem 2.6] and the primitive Kannan’s fixed...

13
501
0

báo cáo hóa học: " Weakly contractive multivalued maps and wdistances on complete quasi-metric spaces" pot

Ngày tải lên : 21/06/2014, 02:20

... continued by Hussain et al [26], Latif and Al-Mezel [27], and Marín et al [1] In particular, the authors of [27] and [1] have obtained a Rakotch-type and a Bianchini-Grandolfi-type fixed point theorems, ... Given a T0 qpm space (X, d), we denote by 2X and by Clds (X) the collection of all nonempty subsets of X and the collection of all nonempty τds-closed subsets of X, respectively Generalizing the ... < t and limr→t+ sup ϕ(r) < t for all t >0, and such that, for each x, y Î X and each u Î Tx there exists v Î Ty with q(u, v) ≤ (q(x, y)) Theorem 2.6 Let (X, d) be a complete T qpm space and...

9
264
0

Báo cáo hóa học: " Research Article Fixed Points of Weakly Contractive Maps and Boundedness of Orbits" doc

Ngày tải lên : 22/06/2014, 19:20

... integers, v ∈ X, and let di j (x) be defined as in (∗ ) Suppose there exist nonnegative real numbers a0 ,a1 ,a2 , ,an−1 and b0 ,b1 ,b2 , Fixed Point Theory and Applications with n −1 i=0 ≤ and ∞ j =0 ... is continuous, and inf x∈X d(x, f (x)) = inf n∈N d(x1n ,x2n ) = inf n∈N 1/n = Let c5 = a7 ≥ be a real number, and let other coefficients , c j , and bk be all 0, then both (A.1) and (A.3) hold ... given (X,d) and f : X → X, since d( f (x), f (y)) ≤ 1, and c5 d( f (x), f (x)) = a7 d( f (x), f (x)) = 1, both (A.2) and (A.4) hold, too However, it is clear that f has no fixed points, and each...

12
180
0

Báo cáo hóa học: "DIAMETRICALLY CONTRACTIVE MAPS AND FIXED POINTS" docx

Ngày tải lên : 22/06/2014, 22:20

... 2 Diametrically contractive maps and fixed points references therin; we will call them shrinking We briefly recall some results and properties of maps in this class: (1) the fixed point, ... 1, 81–82 8 Diametrically contractive maps and fixed points [9] B Sims, Examples of fixed point free mappings, Handbook of Metric Fixed Point Theory (W A Kirk and B Sims, eds.), Kluwer Academic, ... diametrically contractive maps are shrinking; (2) if M is a compact set and T is shrinking, then it is diametrically contractive; (3) there are examples of shrinking maps that are not diametrically...

8
185
0

Báo cáo hóa học: " Cq -COMMUTING MAPS AND INVARIANT APPROXIMATIONS" pptx

Ngày tải lên : 22/06/2014, 22:20

... et al [9], Jungck and Sessa [12], Khan and Khan [13], O’Regan and Shahzad [15], Rhoades and Saliga [16], Sahab et al [18], Shahzad [19–21], and Singh [22] Common fixed point and approximation ... -commuting maps and invariant approximations Theorem 2.2 Let I and T be self -maps on a q-starshaped subset M of a p-normed space X Assume that cl(T(M)) ⊂ I(M), q ∈ F(I), and I is affine Suppose that T and ... Al-Thagafi and Shahzad’s [2, Theorem 2.2 ], Dotson’s [3, Theorem 1], Guseman and Peters’s [4, Theorem 2], and Hussain and Berinde’s [7, Theorem 3.6] Theorem 3.1 Let T and I be self -maps on a compact...

9
180
0

Báo cáo hóa học: " NOTE ON KKM MAPS AND APPLICATIONS" pdf

Ngày tải lên : 22/06/2014, 22:20

... theorem and minimax theorem Theorem 4.1 (Ky Fan’s coincidence theorem) Let X and Y be nonempty convex subsets of topological vector spaces E and F, respectively Let A,B : X → 2Y be two maps satisfying ... ∈ , , if x ∈ 0, otherwise (3.4) Note on KKM maps and applications It is obvious that E is not compact and Tx is convex for all x ∈ E Put y1 = 1/2 and y2 = 3/4 Then it follows that co y1 , y2 ... 1, ,l and t = 1,2, ,k By the convexities of A−1 x and B y, we have y0 ∈ Ax0 and y0 ∈ Bx0 This completes the proof Remark 4.2 The classical Ky Fan’s coincidence theorem assume that both X and Y...

9
386
0