NORMAL FAMILIES OF MEROMORPHIC MAPPINGS SHARING HYPERSURFACES

... Annals of Mathematics, 160 (2004), 795–837 Extension properties of meromorphic mappings with values in non-K¨hler complex manifolds a By S Ivashkovich* Introduction 0.1 Statement of the main result ... initiate the systematic study of extension properties of meromorphic mappings with values in non-K¨hler complex manifolds a Let h be some Hermitian...

Ngày tải lên: 22/03/2014, 16:20

... [21], Thianwan and Suantai [22], Xu and Ori [23], Zhou and Chang [24], we consider the following Ishikawa-like implicit iteration algorithm with errors for two finite families of generalized asymptotically ... et al.: An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings Fixed Point Theory...

Ngày tải lên: 20/06/2014, 22:20

... 2008 Y Su and X Qin, Strong convergence theorems for asymptotically nonexpansive mappings and asymptotically nonexpansive semigroups,” Fixed Point Theory and Applications, vol 2006, Article ID ... methods for countable families of asymptotically nonexpansive mappings and semigroups in a Hilbert space, and to prove strong convergence theorems Ou...

Ngày tải lên: 21/06/2014, 11:20

... theorems on weakly contractive maps,” Nonlinear Analysis: Theory, Methods & Applications, vol 47, pp 2683–2693, 2001 Y Song and R Chen, “Iterative approximation to common fixed points of nonexpansive ... convex subset of X and Tm : C → C, m ∈ {1, 2, }, is a uniformly asymptotically regular sequence of nonexpansive mappings such that ∞ Fix Tm / ∅ F: 3.1 m Let f : C → C b...

Ngày tải lên: 21/06/2014, 11:20

... sequences for asymptotically quasi-nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol 259, no 1, pp 1–7, 2001 [6] L Qihou, “Iterative sequences for asymptotically quasi-nonexpansive ... convex and bounded subset of a real uniformly convex Banach space E Let {Ti , i ∈ I } be m uniformly L-Lipschitzian asymptotically quasi-nonexpansive self-mappin...

Ngày tải lên: 22/06/2014, 18:20

... sequences for asymptotically quasi-nonexpansive mappings,” Journal of Mathematical Analysis and Applications, vol 259, no 1, pp 1–7, 2001 [6] L Qihou, “Iterative sequences for asymptotically quasi-nonexpansive ... convex and bounded subset of a real uniformly convex Banach space E Let {Ti , i ∈ I } be m uniformly L-Lipschitzian asymptotically quasi-nonexpansive self-mappin...

Ngày tải lên: 22/06/2014, 22:20

... Takahashi in [18] proved Browder’s type strong convergence theorems for families of nonexpansive mappings Very recently, the author proved the following Browder’s type strong convergence theorem for ... [20] In this paper, using the idea in [21], we prove Browder’s type strong convergence theorems for in nite families of nonexpansive map...

Ngày tải lên: 22/06/2014, 22:20

... 104 Convergence to common fixed point The author thinks this theorem is one of the most interesting convergence theorems for families of nonexpansive mappings In the case of k = 4, this ... assumption of the strict convexity of the Banach space, convergence theorems for in nite families of nonexpansive mappings were proved In 1972, Linhart [15] prov...

Ngày tải lên: 23/06/2014, 00:20

... ) k) k) +∞) Sometimes we write N f (r, H) for N1,f (r, H), Nl,f (r, H) for Nl,f (r, H) and +∞) Nf (r, H) for N+∞,f (r, H) An Extension of Uniqueness Theorems Set ψf (H) := 75 |a0 |2 + · · · + ... k+1 n+ nq k An Extension of Uniqueness Theorems 93 This contradicts q = 5(n+1) , k ≥ (65n + 171)n Thus, we get that αij = for all i = j q − For s < v 3, denote by Lsv the s...

Ngày tải lên: 06/08/2014, 05:20

... extragradient type method for a system of equilibrium problems, variational inequality problems and fixed points of finitely many nonexpansive mappings, Journal of Nonlinear Analysis and Optimization, ... Plubtieng and K Ungchittrakool, Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings...

Ngày tải lên: 14/10/2015, 08:18

... show that there are at FINITENESS PROBLEM OF MEROMORPHIC FUNCTIONS SHARING FOUR SMALL FUNCTIONS most three meromorphic functions sharing four small functions regardless of multiplicity To state ... there has no finiteness theorem for the case meromorphic functions sharing four small functions regardless of multiplicities The second purpose...

Ngày tải lên: 14/10/2015, 08:37

... Tan, Normal families of meromorphic mappings of several complex variables into CP n for moving hypersurfaces, Ann Polon Math., 94, 97-110 [12] Z Tu, Normal criteria for families of holomorphic mappings ... Thai and P N T Trang, Normal families of meromorphic mappings of several complex variables into CP n , Nagoya Math J., 180 (2005), 91-110 [10] W Stoll, Nor...

Ngày tải lên: 16/10/2015, 09:35

... (C), J Math Anal and App., 267 (2002), 1-19 [21] Z Tu and P Li, Normal families of meromorphic mappings of several complex variables into PN (C) for moving targets, Sci China Ser A Math., 48 ... Thai-Quang [16], [17]), the study of the normality of families of meromorphic mappings of a domain D in Cn into PN (C) for moving hyperplanes or hypersur...

Ngày tải lên: 16/10/2015, 14:09

... purpose in the present paper is to give a new second main theorem for meromorphic mappings into complex projective varieties, and a family of hypersurfaces in subgeneral position (in the sense of ... dimension k (k ≤ n) Let {Qi }qi=1 be hypersurfaces of Pn (C) in N -subgeneral SECOND MAIN THEOREM AND UNICITY OF MEROMORPHIC MAPPINGS posit...

Ngày tải lên: 16/10/2015, 14:14

... N (r, min{ν(f,H2n +2 ) , ν(g,H2n +2 ) }) [n] [1] N(u,H2n +2 ) (r) − nN(g,H2n +2 ) (r) + o(Tf (r)) = u=f,g [n] ≤ [n] N(u,H2n +2 ) (r) − N(g,H2n +2 ) (r) + o(Tf (r)) u=f,g [n] = N(f,H2n +2 ) (r) + o(Tf ... || N(f,H2n +2 ) (r) = N(f,H2n +2 ) (r) + o(Tf (r)) and || N(u,H2n +2 ) (r) = nN(g,H2n +2 ) (r) + o(Tf (r)) It folows that min{ν(f,H2n +2 ) , n + 1} = min{ν(f,H2n +2 ) , n} and mi...

Ngày tải lên: 16/10/2015, 14:15