Báo cáo toán học: "Some index theorems for subnormal operators" doc

... Yao, JC: Fixed point theorems and ergodic theorems for non- linear mappings in Hilbert spaces. Taiwanese J. Math. 15, 457–472 (2011) [4] Takahashi, W: Fixed point theorems for new nonlinear mappings ... study Pazy’s type fixed point theorems, demiclosed principles, and ergodic theorem for mappings with condition (B). Next, we consider the weak convergence theorems for equilibr...

Ngày tải lên: 20/06/2014, 21:20

... uniform opial condition, uniform Kadec–Klee property in modular spaces and application to fixed point theory. J. Interdisciplinary Math. 8, 377–385 (2005) [25] Kumam, P: Fixed point theorems for ... k(w λ (x n+1 , x n ) + w λ (x n , x n−1 )) (3.14) for all λ > 0 and for all n ∈ N. Hence, w λ (x n+1 , x n ) ≤ k 1−k w λ (x n , x n−1 ) (3.15) for all λ > 0 and for all n ∈ N. Put...

Ngày tải lên: 20/06/2014, 21:20

... minimization theorems and fixed point theorems in complete metric spaces. Math. Japon. 44, 381–591 (1996) 4. Du, WS: Fixed point theorems for generalized hausdorff metrics. Int. Math. Forum 3(21), ... (iv).  3 Fixed point theorems for w-cone distance contraction mappings in K-metric spaces We note that the method of Du [2] for cone contraction mappings cannot be applied for a w...

Ngày tải lên: 20/06/2014, 21:20

... that x n ≥ sup{p ∈ E : p = T p} for all n ≥ 1. It is clear that T x n ≥ x n for all n ≥ 1. Using (1.11), we have U n,1 x n = λ n,1 T x n + (1 − λ n,1 )x n ≥ x n for all n ≥ 1. Since T is nondecreasing, ... above lemma, we get the following result. 16 2 Convergence theorems We first give a convergence theorem for the K ( T,N ) -iteration for continuous mappings on an arbitrary inter...

Ngày tải lên: 20/06/2014, 20:20

... basic formulas for p-adic q-Bernoulli , p-adic q-Euler numbers and polynomials which will be used to prove the main results of this article. Let UD(ℤ p , ℂ p ) denote the space of all uniformly ... )      t=0 =2 k+1 ∞  m=0 (−1) m  m + 1 2  k q (4:2) for k ≥ 0. Definition 4.1 (q-analogues of the Riemann’s ζ-functions). For s Î ≤, define ζ q (s)= 1 s − 1 1  1 1−q  s−1 + log q q...

Ngày tải lên: 20/06/2014, 21:20

... point theorems, ergodic theorems, demiclosed principles, and Ray’s type theorem for these nonlinear map pings. Next, we prove weak convergence theorems for Moudafi’s iteration process for these nonlinear ... prove weak conver- gence theorems for Moudafi’s iteration process for asymptotic nonspraeding mappings and asymptotic TJ mappings. Finally, we give some important examples...

Ngày tải lên: 20/06/2014, 22:20

... point theorems, ergodic theorems, demiclosed principles, and Ray’s type theorem for these nonlinear map pings. Next, we prove weak convergence theorems for Moudafi’s iteration process for these nonlinear ... ∀ y ∈ C for some Banach limit μ. Then, T has a fixed point in C. 3 Main results In this section, we study the fixed point theorems, ergodic theorems , demiclosed prin- cipl...

Ngày tải lên: 21/06/2014, 00:20

... that (2.6) is true if a j =1forsomej, so it suffices to show that (2.6) i s true for a j ≠ 1forallj. The proof is by mathematic induction on k.Clearly, (2.6) is true for k =1.Letx 1 , x 2 Î H and ... conditions. (A1) F(x, x)= 0for all × Î K; (A2) F is monotone, that is, F(x, y)+F(y, x) ≤ 0 for all x, y Î K; (A3) for each x, y, z Î K, lim t ↓ 0 F( tz +(1− t)x, y) ≤ F(x, y) ; (A4) for...

Ngày tải lên: 21/06/2014, 01:20

... to the information formula, T = H(x) - H y (x), where T is the amount of information common to x and y; H (x) is the amount of information in x; and H y (x) is the amount of information ... subjects. For example, the subject might be presented with the following word -for- word translation of a German passage: The theory the passage of sound through plates is — for even waves...

Ngày tải lên: 30/03/2014, 17:20

... σ 2 i < ∞ for each i ≥ 1. Denote B 2 n =  n i=1 σ 2 i for each n ≥ 1. For fixed n ≥ 1, there exists a positive number H such that |EX m i | ≤ m! 2 σ 2 i H m−2 , i = 1, 2, . . . , n (3.3) for any ... EX 2 i = σ 2 i < ∞ for each i ≥ 1. Denote B 2 n =  n i=1 σ 2 i for each n ≥ 1. If there exists a positive number c such that |X i | ≤ cB n for each 1 ≤ i ≤ n, n ≥ 1, then for...

Ngày tải lên: 18/06/2014, 15:20