Báo cáo hóa học: "VISCOSITY APPROXIMATION FIXED POINTS FOR NONEXPANSIVE AND m-ACCRETIVE OPERATORS" ppt

... relation  J γ n k x n k ,A γ n k x n k  ∈ A, (3.44) VISCOSITY APPROXIMATION FIXED POINTS FOR NONEXPANSIVE AND m-ACCRETIVE OPERATORS RUDONG CHEN AND ZHICHUAN ZHU Received 10 June 2006; Accepted 22 July ... 201–225. [4] T C. Lim and H K. Xu, Fixed point theorems for asymptotically nonexpansive mappings,Non- linear Analysis 22 (1994), no. 11, 1345–1355. [5] H K. Xu, Ite...

Ngày tải lên: 22/06/2014, 22:20

... fa, ggb = gb and Afa = Bgb for a Î C(f, A) and b Î C(g, B), (d) the pairs (f, A) and (g, B) are weakly compatible. Then f, g, A, and B have a common fixed point in X. If a =0,g = f and B = A in ... fa, ggb = gb and Afa = Bgb for a Î C(f, A) and b Î C(g, B), (d) the pairs (f, A) and (g, B) are weakly compatible. Then f, g, A, and B have a common fixed point in X. If ψ...

Ngày tải lên: 21/06/2014, 03:20

... u 0 ,v 0 D and hence Ax ∗ ∈ D.By2.7 and condition ii,wegetz i ≤ x ∗ and hence Cz i ≤ Cx ∗ .By2.3 and Definition 1.2,wegety ∗ ≤ Cx ∗ and x ∗  By ∗ ≤ BCx ∗  Ax ∗ . 2.9 Hence Ax ∗ ≤ AAx ∗ , and ... pages doi:10.1155/2010/926209 Research Article Fixed Points for Discontinuous Monotone Operators Yujun Cui 1 and Xingqiu Zhang 2 1 Department of Applied Mathematics,...

Ngày tải lên: 21/06/2014, 20:20

... of Approximation Theory, vol. 116, no. 1, pp. 100–112, 2002. 23 H. Wang, “Voronovskaya-type formulas and saturation of convergence for q-Bernstein polynomials for 0 <q<1,” Journal of Approximation ... 1 . 2.20 N. I. Mahmudov and P. Sabancıgil 5 Proof. We prove only the recurrence formula, since the formulae 2.20 can easily be obtained by standard computations. Since l...

Ngày tải lên: 22/06/2014, 03:20

... 0,T for some T> 0and 8 Fixed Point Theory and Applications By iii, J in 2.5 is well defined. We now consider the solution xtxt, t k ,ψ of 1.1 with ψt k δ 0 and |ψs|≤δ 0 for s ... comparison,” Fixed Point Theory, vol. 4, no. 1, pp. 15–32, 2003. 2 B. Zhang, Fixed points and stability in differential equations with variable delays,” Nonlinear Analysis: Theo...

Ngày tải lên: 21/06/2014, 11:20

... Husain and E. Tarafdar, Fixed point theorems for multivalued mappings of nonexpansive type,” Yokohama Mathematical Journal, vol. 28, no. 1-2, pp. 1–6, 1980. 14 T. Husain and A. Latif, Fixed points ... a Banach space. Indeed, these fixed points are not necessarily unique. See, for example, Browder 6–8 and Kirk 9. Fixed point theorems for contractive and nonexpansi...

Ngày tải lên: 21/06/2014, 20:20

... 3679–3687, 2004. 4 T. A. Burton and T. Furumochi, Fixed points and problems in stability theory for ordinary and functional differential equations,” Dynamic Systems and Applications, vol. 10, no. ... ii,wehave  t n 0 e −  t n s Hudu ωsds ≤ α, 2.24 6 Fixed Point Theory and Applications For any x, y ∈ S, it follows from 2.13, conditions i and ii, and Doob...

Ngày tải lên: 21/06/2014, 23:20

... in X and let {α n } and {β n } be sequences in 0, ∞ converging to 0. Then, for the w-distance ω on X the following hold for every x, y, z ∈ X: a if ωx n ,y ≤ α n and ωx n ,z ≤ β n for ... 177–188, 1989. 3 Y. Feng and S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings,” Journal of Mathematical Analysis and Ap...

Ngày tải lên: 22/06/2014, 11:20

... 4.1 and 4.2, which we therefore omit, and we conclude that none of the remaining fixed points in C −{x 0 } are equivalent. Suppose U /  0andletx v and x w be the first and last uncancelled fixed points ... b k i gb k j and W −1 q W q   g are also in the kernel, so p and p  cancel, as do q and q  ,byLemma 5.1. 14 Fixed Point Theory and Applications if and only if az ...

Ngày tải lên: 22/06/2014, 11:20

... if d satisfies 1 dx, y0 if and only if x  y; 10 Fixed Point Theory and Applications for all x, y ∈ A.IfthereexistsanL<1 such that ϕx, y ≤ 2Lϕx/2,y/2 for all x, y ∈ A,then there exists ... ·x r A ·y r A 3.8 for all μ ∈ T 1 and all x, y ∈ A. Then there exists a unique derivation δ : A → A such that fx − δx A ≤ θ 2 − 4 r x 2r A 3.9 for all x ∈ A. 2 Fi...

Ngày tải lên: 22/06/2014, 11:20