báo cáo hóa học:" Research Article Generalizations of the Nash Equilibrium Theorem in the KKM Theory" potx

... We first process the proof of Theorem 1.5. Let x  sin t for x ∈ 0, 1, in which case the proof of Theorem 1.5 can be completed when proving that the double inequality b 1 a ≥ sin t t − cos t a ≥ b 2 a 3.1 holds ... 1.8 holds. 4. The Special Cases of Theorems 1.5 and 1.6 1 Taking a  3,b 1  a − 1  2 in Theorem 1.5 and c  6,d 1  c − 2  4 in Theorem 1.6 le...

Ngày tải lên: 21/06/2014, 20:20

... domains, and applied the result to the study of an interesting asymptotic behavior of the quadratic functions. As a matter of fact, we reformulate 1.1 and related inequality in the spaces of generalized ... 2 Journal of Inequalities and Applications in the spaces of generalized functions. Also, we obtain the general solution and prove the Hyers-Ulam stability...

Ngày tải lên: 22/06/2014, 02:20

... to a proof of the Nash equilibrium theorem. This is the origin of the application of the KKM theory to the Nash theorem. In 1969, Ma 12 extended Fan’s intersection theorem Fixed Point Theory ... imply the Fan minimax inequality. 9. The Nash- Type Equilibrium Theorems From Theorem 8.1, we obtain the following form of the Nash- Fan-type equilibri...

Ngày tải lên: 21/06/2014, 18:20

... nonlinear extension of Theorem 1.1. In the linear case, we use a variant of a theorem due to Hayden [2, 3], and thus manage to substitute the coercivity condition in (c) of the previous theorem with ... should be noted that since a crucial point in the above proof is the existence and boundedness of the net {x λ } λ∈Λ , variants of the previous theorem co...

Ngày tải lên: 22/06/2014, 19:20

... iteration of the scaling function with φ 0 (t) being the initial value of iteration. From the scaling function, the wavelet ψ( t) is obtained by using the two-scale equation for the wavelet as given in ... given in (6). The order of the FIR filter and in turn, the support of the wavelet, is taken into consideration from the temporal resolution of the hum...

Ngày tải lên: 21/06/2014, 05:20

... categorized into one of four classes. Then, it was converted into a link cost by transforming the average PDR of the corresponding category to the log scale, and then normalizing to the integer domain. The ... calculated as the sum of the costs of the links that compose the path. As adding link costs is equivalent to multiplying the packet delivery rates of each...

Ngày tải lên: 21/06/2014, 11:20

... Batliner, The hinterland of emotions: facing the open-microphone challenge,” in Proceedings of the 4th International HUMAINE Association Conference on A ffective Computing and Intelligent Interaction 2009 ... important that only the training instances are upsampled. For upsampling a target size of 200% (number of instances) of the upsampled training dataset compared to th...

Ngày tải lên: 21/06/2014, 18:20

... phenomena, for instance, in the theory of quasiregular and quasiconformal mappings 1–3, in the generalized reaction-diffusion theory 4, in the turbulent flow of a gas in porous medium and in the non-Newtonian fluid ... this, the inequality 1.4 is a consequence of a result in 6. This completes the proof of Theorem 1.1. Appendix Proof of Lemma 2.4. The...

Ngày tải lên: 21/06/2014, 20:20

... composition theorem 2, Theorem 2.4, applied to F b  it follows lim T →∞ 1 2T  T −T   t1 t  Gσ  p dσ  1/p dt  0. 3.14 Using the theorem of composition 2, Theorem 2.4 for functions of ... α  ∞ n1   n n−1 s −qα e −qγs ds 1/q < ∞,thenΓ 3 u ∈ PAAX α . Proof. The proof is similar to that of Lemma 5.3 and hence omitted, though here we make use of th...

Ngày tải lên: 21/06/2014, 20:20

... useful to study the behavior of the last three terms of the long inequality above. On the other hand, if we denote by H the second term in the right-hand side of that inequality, then it is satisfied ... with the existence and uniqueness of solution to the nonlinear problem 1.1–3.4. To this end, we need the following fixed point theorem of Schaeffer. Theorem...

Ngày tải lên: 21/06/2014, 20:20