SECOND MAIN THEOREMS FOR MEROMORPHIC MAPPINGS INTERSECTING MOVING HYPERPLANES WITH TRUNCATED COUNTING FUNCTIONS AND UNICITY PROBLEM

... mathematical model for the VCS with electromagnetic drive and power converter control circuits for its optimal control ´ ´ DESPOTOVIC AND STOJILJKOVIC: POWER CONVERTER CONTROL CIRCUITS FOR TWO- MASS VCS ... VI EXPERIMENTAL RESULTS In this section, some experimental results are presented These results are recorded on the real experimental contr...

Ngày tải lên: 03/01/2014, 19:16

... points for contraction mappings in modular metric spaces AMS: 47H09; 47H10 Keywords: modular metric spaces; modular spaces; contraction mappings; fixed points Introduction Let (X, d) be a metric space ... mapping in modular spaces Arch Math 40, 345–353 (2004) [26] Mongkolkeha, C, Kumam, P: Fixed point and common fixed point theorems for generalized weak con...

Ngày tải lên: 20/06/2014, 21:20

... Another weak convergence theorems for accretive mappings in banach spaces Fixed Point Theory and Applications 2011 2011:26 Submit your manuscript to a journal and benefit from: Convenient online ... theorems for nonexpansive mappings in Banach spaces J Math Anal Appl 67, 274–276 (1979) doi:10.1016/0022-247X(79)90024-6 Suzuki, T: Strong convergence theorems for...

Ngày tải lên: 21/06/2014, 01:20

... Vetro, Common fixed points in cone metric spaces,” Rendiconti del Circolo Matematico di Palermo, vol 56, no 3, pp 464–468, 2007 D Ili´ and V Rakoˇ evi´ , Common fixed points for maps on cone metric ... Theory and Applications 15 10 F Sabetghadam and H P Masiha, Common fixed points for generalized ϕ-pair mappings on cone metric spaces,” Fixed Point Theory and Applicat...

Ngày tải lên: 21/06/2014, 05:20

... Shobe, Coupled fixed point theorems for contractions in fuzzy metric spaces,” Nonlinear Analysis Theory, Methods & Applications, vol 72, no 3-4, pp 1298–1304, 2010 J.-X Fang, Common fixed point theorems ... called a coupled fixed point of the mapping F : X × X → X if F x, y x, F y, x y 2.13 Fixed Point Theory and Applications Definition see An element x, y ∈ X × X is cal...

Ngày tải lên: 21/06/2014, 05:20

... Caki´ , M Rajovi´ , and J S Ume, Monotone generalized nonlinear contractions in c c partially ordered metric spaces,” Fixed Point Theory and Applications, vol 2008, Article ID 131294, p 11, 2008 ... sufficient condition for the uniqueness of the fixed point in Theorem 2.4, this condition is for x, y ∈ X there exists a lower bound or an upper bound 2.30 Fixed Point Theory and A...

Ngày tải lên: 21/06/2014, 07:20

... and z0 ∈ T x0 Let y0 − 0 x0 ⊕ 0 z0 There exists z0 ∈ T y0 such that d z0 , z0 ≤ H T x0 , T y0 x1 y1 0 Let − 0 x0 ⊕ 0 z0 There is z1 ∈ T x1 such that d z1 , z0 ≤ H T x1 , T y0 3.9 γ1 Take ... ∈ 0, ∞ such that limn → ∞ γn Choose x0 ∈ K and z0 ∈ T x0 Let y0 − 0 x0 0 z0 There exists z0 ∈ T y0 such that d z0 , z0 ≤ H T x0 , T y0 x1 − 0 x0 1. 10 γ1 Take − β1 x1 β1 z1 There exists ......

Ngày tải lên: 22/06/2014, 02:20

... 2 Fixed Point Theory and Applications for fixed points of nonexpansive mapping T in Banach space and also prove weak and strong convergence theorems Moreover, we introduce an implicit ... we study weak and strong convergence theorems for common fixed points of a finite family of nonexpansive mappings {Ti }N1 in Banach spaces i Theorem 2.3 Let E be a real...

Ngày tải lên: 22/06/2014, 06:20

... variables Fixed Point Theory and Applications Definition 1.10 A G-metric space X, G is said to be G -complete or a complete G-metric space if every G-Cauchy sequence in X, G is G-convergent in X, G ... X, G The Main Results We begin with the following theorem Theorem 2.1 Let X, G be a complete G-metric space and let T : X → X be a mapping which satisfies the following conditi...

Ngày tải lên: 22/06/2014, 11:20

... ) 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

... A meta-analysis of CAG (cytarabine, aclarubicin, G-CSF) regimen for the treatment of 1029 patients with acute myeloid leukemia and myelodysplastic syndrome Guoqing Wei1,2, ... Efficacy of induction chemotherapy for patients with high-risk myelodysplastic syndrome (MDS) or MDS-transformed acute myeloid leukemia with CHG regimen and...

Ngày tải lên: 10/08/2014, 21:23

... applications of these second main theorems, in the last section we will prove a unicity theorem for meromorphic mappings sharing moving hyperplanes regardless of multiplicities To state our main result, ... νϕ∞ SECOND MAIN THEOREMS FOR MEROMORPHIC MAPPINGS We have the following Jensen’s formula: N (r, νϕ0 ) − N (r, νϕ∞ ) = log|ϕ|η − S(r) log|ϕ|η S(1) [k] For c...

Ngày tải lên: 14/10/2015, 07:52

... This completes the proof of Theorem 1.1 References [1] G Dethloff and T V Tan and D D Thai, An extension of the CartanNochka second main theorem for hypersurfaces, Internat J Math 22 (2011), ... are taken in to the account of counting functions) Motivated by the case of hyperplanes, in this paper we generalize Theorem B to the case of arbitrary hypersurfaces,...

Ngày tải lên: 14/10/2015, 08:23

... 2MEROMORPHIC MAPPINGS HAVING THE SAME INVERSE IMAGES OF MOVING HYPERPLANES Theorem B (Fujimoto [3, Theorem 1.5]) Let H1 , , H2n+2 be hyperplanes of Pn (C) in general position Then there ... i∈I c MEROMORPHIC MAPPINGS HAVING THE SAME INVERSE IMAGES OF MOVING HYPERPLANES9 Proposition 2.3 Let f be a meromorphic mapping of Cm into Pn (C) and let b1 ,...

Ngày tải lên: 14/10/2015, 08:37

... 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