Báo cáo hóa học: " APPROXIMATING FIXED POINTS OF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS" docx

... y/R 1  . (2.16) 16 Total asymptotically nonexpansive mappings Proof. We denote F n = I − T n .SinceT is total asymptotically nonexpansive, one can con- sider without loss of generality that k (1) n ≤ ... from (5.7)that(5.5) follows.  Next we assume that E is a Banach space. APPROXIMATING FIXED POINTS OF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS YA.I.ALBER,C.E.CH...

Ngày tải lên: 22/06/2014, 22:20

... Panyanak, B: Approximating fixed points of nonexpansive nonself mappings in CAT(0) spaces. Fixed Point Theory Appl. 367274, 11 (2010) 2. Garcia-Falset, J, Liorens-Fuster, E, Suzuki, T: Fixed point ... Then,{x n } converges strongly to a fixed point of T. Another result in [1] is to obtain the Δ-convergence of a defined sequence, to a com- mon fixed point of two nonexp...

Ngày tải lên: 20/06/2014, 22:20

... Sx ) ]/2}. Abbas et al. Fixed Point Theory and Applications 2011, 2011:41 http://www.fixedpointtheoryandapplications.com/content/2011/1/41 Page 8 of 11 RESEARC H Open Access Common fixed points of R-weakly ... obtained fixed points of F-maps in G-metric spaces. Abbas et al. [12] gave some new results of coupled common fixed point results in two generalized metric spaces (s...

Ngày tải lên: 21/06/2014, 00:20

... characterization of strict convexity of Banach spaces and othe r uses of duality mappings, J. Funct. Anal. 6 (1970), 282–291. [3] J. Schu, Iterative construction of fixed points of asymptotically nonexpansive ... osilike@yahoo.com B. G. Akuchu: Department of Mathematics, University of Nigeria, Nsukka, Nigeria E-mail address: akuchubg@yahoo.com COMMON FIXED POINTS OF A...

Ngày tải lên: 23/06/2014, 00:20

... set of common fixed points of ᏿. Then F(᏿) is a sunny nonexpansive retract of C, and a sunny nonexpansive retraction of C onto F(᏿) is unique. In particular, if T is a nonexpansive mapping of C ... (2.3) AsubsetD of C is said to be a sunny nonexpansive retract of C if there exists a sunny nonexpansive retraction P of C onto D.WeknowthatifE is smooth and P is a retra...

Ngày tải lên: 23/06/2014, 00:20

... Tx ∗ . By the uniqueness of the fixed point of T n ∗ , Tx ∗ = x ∗ . Yong-Zhuo Chen 217 [4] J. R. Jachymski, An extension of A. Ostrowski’s theorem on the round-off stability of iterations, Aequationes ... x ∗ ∈ M such that lim n→∞ T n x = x ∗ for all x ∈ M. Proof. Examining the proofs of Lemma 2.1 and Theorem 2.2, one can find that the boundedness of the orbit O(x) is only used to gu...

Ngày tải lên: 23/06/2014, 00:20

... to v 0 , and the proof is completed. □ For a metric space (X, d), we will denote by Cl(X) the set of all closed subsets of X. In view of proving Lemma 2.3, we can obtain a fixed point theorem ... Petrot Fixed Point Theory and Applications 2011, 2011:78 http://www.fixedpointtheoryandapplications.com/content/2011/1/78 Page 7 of 10 3. Cho, YJ, Hirunworakit, S, Petrot, N: Set-valued...

Ngày tải lên: 20/06/2014, 22:20

... applications of nanofluids in heat transfer and microfluidics. In this study, a series of dilute TiO 2 aqueous dispersions were prepared and tested for the possible presence of the AWS effect by means of ... conductivity and dynamic viscosity of nanofluids. Energy Convers Manag 2011, 52:789-793. 12. Hosseini MS, Mohebbi A, Ghader S: Correlation of shear viscosity of nanofluids u...

Ngày tải lên: 21/06/2014, 04:20

... pleasure-coding site of orbitofrontal cortex actually causes a positive pleasure state. It would be of considerable interest to investigate whether any of these sub-regions of the orbitofrontal cortex ... the medial parts of the orbitofrontal are part of a proposed network for the baseline activ- ity of the human brain at rest (Gusnard et al. 2001), as this would place the orbit...

Ngày tải lên: 21/06/2014, 06:20

... IDE. Proof. Fortheproofofthetheoremwefirstreduce(2.6) to its normal form (2.3). Then we will show that (2.3) is of index-1 by verifying all the conditions of Definition 2.1.Letthe DAE (2.1) be of index-1. ... discrete analogues of nonlinear implicit differential equations Since condition (3.7) is independent of the choice of Q(t), the nonsingularity of G(x,t) does not depend on the...

Ngày tải lên: 22/06/2014, 22:20