Báo cáo hóa học: "Research Article Fixed Points of Generalized Contractive Maps" pot

... Applications Volume 2009, Article ID 487161, 9 pages doi:10.1155/2009/487161 Research Article Fixed Points of Generalized Contractive Maps Abdul Latif 1 and Afrah A. N. Abdou 2 1 Department of Mathematics, ... pp. 61–72, 1997. 4 Fixed Point Theory and Applications Note that if we take ω  d, then the definition of generalized w -contractive map reduces to the definition...

Ngày tải lên: 22/06/2014, 11:20

... 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 s...

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... 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...

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... purpose of this paper is to study the existence of fixed points for contractive- type and nonexpansive-type multivalued maps in the setting of modular function spaces. We also discuss the concept of ... Publications of the Research Institute for Mathematical Sciences, vol. 12, no. 2, pp. 427–437, 1976. 4 B. E. Rhoades, “A comparison of various definitions of contractive map...

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... 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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... 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

... topological continuum of fixed points. The set of fixed points has a natu- ral graph structure. Generically, the number of fixed points is exactly  2n n  . When these many fixed points occur, the g ... 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 fixed...

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... 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...

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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...

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... 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...

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