Báo cáo hóa học: " Research Article On the Weak Relatively Nonexpansive Mappings in Banach Spaces" potx

... 1.1. In 6, the weak relatively nonexpansive mapping is also said to be relatively weak nonexpansive mapping. Remark 1.2. In 7, the authors have given the definition of hemirelatively nonexpansive mapping ... mapping but not relatively nonexpansive mapping. In this paper, we give an example which is weak relatively nonexpansive mapping but not relatively...

Ngày tải lên: 21/06/2014, 17:20

... SNR DL is the receive SNR in the downlink. Since the obtainable beamforming gain depends on the quantization resolution, R DL is a function of the number b of feedback bits per antenna. The original ... to be present at the receiver in the uplink, and at the transmitter in the downlink. In the uplink, the channel between the single transmit and the multip...

Ngày tải lên: 21/06/2014, 22:20

... is a weakly sequentially continuous and a weakly compact map. In addition, assume that the following conditions are satisfied: i there exists a weakly continuous retraction r : X → Q, ii there ... nonlinear mappings in Banach spaces,” Bulletin of the American Mathematical Society, vol. 74, pp. 660–665, 1968. 16 D. O’Regan, “Fixed-point theory for weakly sequentially continuou...

Ngày tải lên: 21/06/2014, 11:20

... WORTH ∗ has the wFPP. 1. Introduction In 1988 Sims 1 introduced the notion of weak orthogonality WORTH and asked whether spaces with WORTH have the weak fixed point property wFPP. Since then several ... Sims, “Orthogonality and fixed points of nonexpansive maps,” in Workshop/Miniconference on Functional Analysis and Optimization (Canberra, 1988), vol. 20 of Proceedings o...

Ngày tải lên: 21/06/2014, 20:20

... xed points in I since t n =1/2foralln ≥ 0. Remark 2.5. The example below shows that the Picard iteration sequences of nonexpan- sive mappings in hyperspaces need not converge and the condition ... establish the con- vergence theorems for the Mann and Ishikawa iteration sequences dealing with nonex- pansive mappings in hyperspaces. The results in this paper extend subs...

Ngày tải lên: 21/06/2014, 22:20

... Processing The confusion-matrix of PMFs thus obtained for the audio- visual speech features combined is shown in Ta bl e 2. 3.3. Formulating the Soft Belief Function Using the Confusion Matrix ... Diarization. In the ensuing sections we describe the experimental conditions for uni- modal speech diarization [14], and the proposed multi- modal speaker diarization using the B...

Ngày tải lên: 21/06/2014, 05:20

... question whether the result of Theorem D about the case α  γ holds for ρ ∗ -mixing sequence. 2 Journal of Inequalities and Applications The notion of ρ ∗ -mixing seems to be similar to the notion ... of Inequalities and Applications Theorem 1.4. Under the conditions of Theorem 1.2, the assumptions EX  0 for 1 <α≤ 2 and 1.8 for α /  γ imply the following Marcinkiewicz-Zyg...

Ngày tải lên: 21/06/2014, 05:20

... commutative and weakly without order which are used in the work of M. E. Gordji et al. 2011 for Banach algebras. 1. Introduction In 1940, Ulam 1 raised the following question concerning stability ... Wiley & Sons, New York, NY, USA, Science edition, 1940. 2 D. H. Hyers, On the stability of the linear functional equation,” Proceedings of the National Academy of Scien...

Ngày tải lên: 21/06/2014, 05:20

... 8AdvancesinDifference Equations version of the induction principle on time scales Remark 1.6, we can obtain the following result. Theorem 3.1. Let g : σa,b × 2 → be continuous. Suppose that there ... for the above problem by using Topological degree theory, fixed-point theorems on cone, bifurcation theory, and so on. In 2004, Ma and Luo 18 firstly obtained the existence of...

Ngày tải lên: 21/06/2014, 05:20

... is in nite dimensional, then CX fails to have the fixed-point property. Dhompongsa et al. studied the fixed-point property of complex C ∗ -algebras in 8 and obtained the following result. Theorem ... denote the complex and real Banach algebras of all continuous complex-valued and continuous real-valued functions on X under the uniform norm on X, respectively. Recently, Fu...

Ngày tải lên: 21/06/2014, 07:20