Báo cáo hóa học: " Research Article Fixed Points and Stability of the Cauchy " pptx

... “On the stability of the linear functional equation,” Proceedings of the National Academy of Sciences of the United States of America, vol. 27, no. 4, pp. 222–224, 1941. 3 T. Aoki, “On the stability ... 3.11. Proof. The proof is similar to the proofs of T heorems 2.3 and 5.2. Corollary 5.5. Let r>1 and θ be nonnegative real numbers, and let f : A → A...

Ngày tải lên: 22/06/2014, 11:20

... delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero ... r 2  s  ds. 2.6 2 Fixed Point Theory and Applications Many authors have investigated the special cases of 1.1 and 1.2. Since Burton 1 used fixed poin...

Ngày tải lên: 21/06/2014, 11:20

... 6,andZhang7 studied the stability by using the fixed point theory which solved the difficulties encountered in the study of stability by means of Liapunov’s direct method. Up till now, the fixed ... Ht  n j1 h j t. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2008, Article ID 407352, 11 pages doi:10.1155/2008/407352 Research Artic...

Ngày tải lên: 21/06/2014, 23:20

... ·x r/3 A ·y r/3 A ·z r/3 A (3.23) for all x, y,z ∈ A.Then,L = 2 r−1 and we get the desired result.  2 Fixed Point Theory and Applications “how do the solutions of the inequality di ffer from those of the given functional equa- tion”? Hyers ... [19]foranumber of other new results). Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2007, Ar...

Ngày tải lên: 22/06/2014, 19:20

... 1. 3. Fixed Points of w-Contractive-Type Maps In 21 the authors introduced the concept of w-distance in metric spaces which they connected to the existence of fixed point of single and multivalued ... Journal of the London Mathematical Society, vol. 37, pp. 74–79, 1962. 3 S. Kasahara, “On some generalizations of the Banach contraction theorem,” Publications o...

Ngày tải lên: 21/06/2014, 20:20

... the conclusions of Theorem 3.1 hold. Remark 3.2. In the proof of Theorem 3.1, we obtain the uniformly convergence of the monotone sequences without the compactness condition. Acknowledgment The ... of A. Similarly, there exists v ∗ ∈ D such that v n → v ∗ and v ∗ is a fixed point of A. By the routine standard proof, it is easy to prove that u ∗ is the minimal fixed p...

Ngày tải lên: 21/06/2014, 20:20

... lower semicontinuous. Then FixT /  ∅. Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2009, Article ID 487161, 9 pages doi:10.1155/2009/487161 Research Article Fixed Points of Generalized ... w-contractive map. Then, there exists an orbit {x n } of T in X such that the sequence of nonnegative real numbers {ωx n ,Tx n } is decreasing to ze...

Ngày tải lên: 22/06/2014, 11:20

... since, in the fa1 case, all fixed points of f lie in C, then the fixed point sets of f and of πf C consist of the same points. Moreover, the fixed point index of each fixed point is the same whether ... the homotopy type of the wedge of the projective plane and the circle. With the aid of techniques from combinatorial group theory, we obtain formulas...

Ngày tải lên: 22/06/2014, 11:20

... generalization of the main theorem of [1 ], Theorem 2 of [4], and Theorem 2 of [6]. If ϕ(t) ≡ 1, then Theorem 2.1 of this paper reduces to Theorem 2.1 of [17]. If ϕ(t) ≡ 1and = ht,0≤ h<1, then Theorem ... Journal of Pure and Applied Mathematics,vol.17,no.1,pp. 47–57, 1986. [10] S. Sessa and B. Fisher, “Common fixed points of weakly commuting mappings,” Bulletin of...

Ngày tải lên: 22/06/2014, 19:20

... (3.17) Then the moving distance of f on O(v, f ) is bounded. Proof. It follows from (3.17)andTheorem 3.9 that the moving distance of f m on O(v, f ) is bounded. Therefore, by (3.17) and the proof of ... ·max  d i+m+k,i+k (v):i ∈ Z n−1  . (3.8) 4 Fixed Point Theory and Applications The proof of Theorem 2.3 is similar to that of Theorem 2.2, and is omitted. In [16],...

Ngày tải lên: 22/06/2014, 19:20