Báo cáo hóa học: " FIXED POINTS AS NASH EQUILIBRIA" doc

... 2 Fixed points as Nash equilibria Amapping f : X ⊂ R m → X has a fixed point if there is x ∈ X such that f (x) = x.A vector x ∈ ... satisfies the assumptions of [Kakutani ∗ ]. Define, for each 1 ≤ i ≤ m, the functions κ m i : R m × R m → R m × R by κ m i (x, y) = (x, y i ), where y = (y 1 , , y m ) ∈ R m . 4 Fixed points as Nash equilibria Acknowledgments I ... jptorres martinez@...

Ngày tải lên: 22/06/2014, 22:20

... (3.51) is asymptotically stable (Hale [9]). Acknowledgment This research was supported in part by NSF of China (10471021). 8 Fixed points and controllability in delay systems where C ij is the cofactor ... K   γ 1   +(1+K)   φ(0)   +(1+K)  b 0      0 −∞ e −Aτ E  τ,s,φ(s)  ds     dτ +(1+K)  b 0  τ 0   e −Aτ E  τ,s,e As y(s)    dsdτ 4 Fixed points and contr...

Ngày tải lên: 22/06/2014, 22:20

... 1},and  ={ϕ : ϕ(t) < 1 ∀t ∈ (0, ∞)}.TheclassΓ ∞ was considered by We¸grzyk [17] (with the additional assumption that ϕ is strictly monotonic), whereas the class Γ  was introduced independently by Chang ... and  ∞ n=1 ϕ n (t) < +∞ for all t ∈ [0,s). 242 Fixed points and coincidence points [16] K.P.R.Sastry,S.V.R.Naidu,andJ.R.Prasad,Common fixed points for multimaps in a metric...

Ngày tải lên: 23/06/2014, 00:20

... are used. 1. Introduction and basic settings 1.1. A motivation from the theory of ODEs. This paper deals with the study of fixed points and periodic p oints, as well as with the investigation of ... φ(γ) ⊆ ᏽ and φ(γ) ∩ ᏽ − l = as well as φ(γ) ∩ ᏽ − r =∅. Therefore, 0 ≤ φ 1 (x) ≤ 1, for all x ∈ γ and, moreover, φ 1 (y) = 0 ≤ y 1 and φ 1 (z) = 1 ≥ z 1 for some points y = (y 1 , y 2...

Ngày tải lên: 23/06/2014, 00:20

... c-measure of noncompactness is said to be re gular provided that ψ(M) = 0ifand only if M is precompact. In particular, if c = 1, then ψ is called a measure of noncompact- ness on K. 110 Fixed points ... convex set in a Fr ´ echet space E and ψ a measure of noncompactness on K. Then any countably condensing admissible map F : K → k(K) has afixedpoint. FIXED POINTS OF CONDENSING MULTIVAL...

Ngày tải lên: 23/06/2014, 00:20

... subsets of X.It is proved that T has a fixed point. Some fixed points results for noncontinuous maps are also derived as applications. Our result contains, as a special case, a recent result of Benavides ... x 2 .Itis easy to see that T is an SL map but not nonexpansive. Moreover, T is 1-χ-contractive and has a fixed point. We now prove a result which contains Theorem 1.1, as a special c...

Ngày tải lên: 23/06/2014, 00:20

... Equation (2.3) has been studied by Hale [17, page 52] concerning limit sets when the kernel is convex. Equation (2.4) has been studied in many contexts, especially as a so-called 3/2-problem as may be ... comparison, Fixed Point Theory 4 (2003), no. 1, 15–32. [7] , Stability by fixed point methods for highly nonlinear delay equations, Fixed Point Theor y 5 (2004), no. 1, 3–20. [8] , F...

Ngày tải lên: 23/06/2014, 00:20

... the device to 312 nm light at a bias of 0.5 V. The real-time by ON/OFF switching was measured with an intensity of 1.6 mW/cm 2 . The measured photocurrent shows a rapidly increase to 60 nA upon exposure ... decrease of conductivity of the nanowires [6]. The conductivity of the W 18 O 49 nanowire device increases obviously in vacuum compared to that measured in air under the same bias voltage,...

Ngày tải lên: 22/06/2014, 00:20

... tumor section was photographed. Total CD31 stain area, as defined by pixel density and hue, was assessed using Olympus Microsuite Biological Suite soft- ware. Area of staining was then compared ... Treatment of flank tumors was associ- ated with a significant reduction in tumor microvascular density (Figure 6B and 6C). This reduction in microvascu- lar density was also correlated with a ......

Ngày tải lên: 18/06/2014, 15:20

... followed by a destruc- tive phase during which inflammatory cytokines such as IFNg,TNF-a and IL-17 are produced. This step-wise progression, as well as c ytokine switch, has led to the conclusion ... strategy. This has proven efficient in the NOD mouse model, as well as in other murine mo dels of T1D [95-100]. The feasibility of translating these therapies to humans remai ns to be a...

Ngày tải lên: 18/06/2014, 16:20