Báo cáo hóa học: "Research Article Fixed Points of Two-Sided Fractional Matrix Transformations" pptx

... ρ-bounded subset of the modular function space L ρ .We denote that CC is a collection of all nonempty ρ-closed subsets of C,andKC is a collection of all nonempty ρ-compact subsets of C. We say ... a nontrivial σ-algebra of subsets of Ω.LetP be a δ-ring of subsets of Σ, such that E ∩ A ∈Pfor any E ∈Pand A ∈ Σ. Let us assume that there exists an increasing sequence of se...

Ngày tải lên: 21/06/2014, 20:20

... ∅. 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 Contractive Maps Abdul ... metric d.Let 2 X ,ClX,andCBX denote the collection of nonempty subsets of X, nonempty closed subsets of X, and nonempty closed bounded subsets of X, respectively. Le...

Ngày tải lên: 22/06/2014, 11:20

... 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 we view it as a fixed point of ... 0 Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2009, Article ID 531037, 18 pages doi:10.1155/2009/531037 Research Article Fixed Points of...

Ngày tải lên: 22/06/2014, 11:20

... xed point of A, B, S,andT. The uniqueness of the common fixed point follows easily from condition (ii). Remark 2.2. Theorem 2.1 is a generalization of the main theorem of [1 ], Theorem 2 of [4], ... 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) ≡ 1andψ = ht,0≤ h<1, then Theorem 2.1 of this paper reduces to Corollary 3...

Ngày tải lên: 22/06/2014, 19:20

... Corporation Fixed Point Theory and Applications Volume 2007, Article ID 20962, 12 pages doi:10.1155/2007/20962 Research Article Fixed Points of Weakly Contractive Maps and Boundedness of Orbits Jie-Hua ... usually regarded as a set of points, while sometimes it is regarded as a sequence of points. Denote by Z + the set of all nonnegative integers, and denote by N the set...

Ngày tải lên: 22/06/2014, 19:20

... a host of other characterizations). Throughout, the spectral radius of a matrix A, that is, the maximum of the absolute values of the eigenvalues of A, is denoted ρ(A). If W is a subset of M n C, ... confusion with other uses of primes. The transpose of a matrix A is denoted A T , and the conjugate trans- pose is denoted A ∗ . Our main object of study is the set of fixe...

Ngày tải lên: 22/06/2014, 22:20

... 2.33 Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2010, Article ID 195916, 14 pages doi:10.1155/2010/195916 Research Article Fixed Points and Stability in Nonlinear Equations ... |xt|≤m<εfor all t ≥−r. T his shows that the zero solution of 1.2 is stable. That completes the proof. 10 Fixed Point Theory and Applications Proof. By iv, there e...

Ngày tải lên: 21/06/2014, 11:20

... point v ∗ in D; that is, u ∗ and v ∗ are fixed points of A, and for any fixed point x of A in D, one has u ∗ ≤ x ≤ v ∗ . Proof. It is similar to the proof of Theorem 2.4; so we omit it. Theorem 2.5. ... point of A is equivalent to solutions of 3.5,and3.5 is equivalent to 3.4, the conclusions of Theorem 3.1 hold. Remark 3.2. In the proof of Theorem 3.1, we obtain the unifor...

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... approach to the stability of a Volterra integral equation,” Fixed Point Theory and Applications, vol. 2007, Article ID 57064, 9 pages, 2007. 6 J. Luo, Fixed points and stability of neutral stochastic ... 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 Article...

Ngày tải lên: 21/06/2014, 23:20

... 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 of t he linear transformation ... 2006. 13 C. Park, Fixed points and Hyers-Ulam-Rassias stability of Cauchy-Jensen functional equations in Banach algebras,” Fixed Point Theory and Applications, vol. 2007, A...

Ngày tải lên: 22/06/2014, 11:20