Báo cáo hóa học: " Research Article Fixed Point Theorems for n Times Reasonable Expansive Mapping" pptx

... 2008 Recommended by Jerzy Jezierski Based on previous notions of expansive mapping, n times reasonable expansive mapping is defined. The existence of fixed point for n times reasonable expansive mapping ... Reasonable Expansive Mapping Chunfang Chen and Chuanxi Zhu Institute of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, China Correspondence should be a...

Ngày tải lên: 21/06/2014, 23:20

... Ψ  max  p  x n ,x n 1  ,p  x n ,x n 1  , 1 2  p  x n 1 ,x n   p  x n ,x n 1    Ψ  max  p  x n ,x n 1  ,p  x n ,x n 1   2.3 since p  x n ,x n   p  x n 1 ,x n 1  ≤ p  x n 1 ,x n   p  x n ,x n 1  2.4 and Ψ is nondecreasing. ... x 0 /  Fx 0 .Now,letx n  Fx n 1 for n  1, 2, If x n 0  x n 0 1 for some n 0 ∈ , t...

Ngày tải lên: 21/06/2014, 07:20

... M. Aziz Taoudi, “Integrable solutions of a nonlinear functional integral equation on an unbounded interval,” Nonlinear Analysis: Theory, Methods & Applications, vol. 71, no. 9, pp. 4131–4136, ... Theory and Applications, Holt, Rinehart and Winston, 1965. 10 A. Ben Amar and J. Garcia-Falset, Fixed point theorems for 1-set weakly contractive and pseudocontractive operators on an un...

Ngày tải lên: 21/06/2014, 11:20

... if, for any sequences {x n } in C and {y n } in Y with y n ∈ Fx n , {x n } converges weakly to x 0 and {y n } converges strongly to y 0 , then it is the case that x 0 ∈ C and y 0 ∈ Fx 0 . On ... Then by the hemicompactness of T, there exists a convergent subsequence {x n k } of {x n },sothatx n k → x ∈ B 0 . Hence 6 Fixed Point Theory and Applications Since C is co...

Ngày tải lên: 21/06/2014, 20:20

... Since ψ : R  → R  is an upper semicontinuous function, hence it attains its minimum in any closed bounded interval of R  . For each n ∈ N, we first define four sequences {a n }, {b n }, {c n },and{d n } ... pages doi:10.1155/2009/129124 Research Article Fixed Point Theorems for a Weaker Meir-Keeler Ty p e ψ-Set Contraction in Metric Spaces Chi-Ming Chen and Tong-Huei...

Ngày tải lên: 22/06/2014, 11:20

... kGx n ,x n 1 ,x n 1 kGx n 1 ,x n 1 ,x n 1  and so G  x n ,x n 1 ,x n 1  ≤ k 1 − k G  x n 1 ,x n 1 ,x n 1  . 2.31 But by G5 we have G  x n 1 ,x n 1 ,x n 1  ≤ G  x n 1 ,x n ,x n   G  x n ,x n 1 ,x n 1  . ... 1/3,thenT has a unique fixed point, say u, and T is G-continuous at u. Proof. Suppose that T satisfies the condition 2.29.Letx 0 ∈ X be an ar...

Ngày tải lên: 22/06/2014, 11:20

... and Limx n  n N  x. ii If x n  n N ∈ cX and Limx n  n N  x, then for all subsequences, x n i  i N ,of x n  n N we have that x n i  i N ∈ cX and Limx n i  i N  x. By definition, ... metric spaces and application to ordinary differential equations,” Fixed Point Theory and Applications,vol. 2010, Article ID 916064, 14 pages, 2010. 16 J. Har...

Ngày tải lên: 21/06/2014, 07:20

... that max { G  x n 1 ,x n ,x n  ,G  x n ,x n 1 ,x n 1  ,G  x n ,x n ,x n  }  G  x n 1 ,x n ,x n  , 3.21 Fixed Point Theory and Applications 7 and hence G  x n ,x n 1 ,x n 1  ≤ φ  G  x n 1 ,x n ,x n  . ... φmax { G  x n 1 ,x n ,x n  ,G  x n 1 ,x n ,x n  ,G  x n ,x n 1 ,x n 1  ,G  x n ,x n ,x n  } . 3.18 If max { G...

Ngày tải lên: 21/06/2014, 17:20

... “Nonconvex minimization theorems and fixed point theorems in complete metric spaces,” Mathematica Japonica, vol. 44, no. 2, pp. 381–391, 1996. 7 W. Takahashi, Nonlinear Functional Analysis: Fixed ... and 2.24,weget ω  x n 1 ,T  x n 1  ≤ hω  x n ,T  x n  n ≥ n 0 , 2.25 12 Fixed Point Theory and Applications Thus by induction we get for all n ≥ n 0 ω  x...

Ngày tải lên: 21/06/2014, 20:20

... 2007 Recommended by Andrzej Szulkin We discuss on the generalized Ulam-Hyers stability for functional equations in a single variable, including the nonlinear functional equations, the linear functional ... 5.1 equation 4.1 becomes fxgx · f  ηx   hx, 5.2 where g, η, h are given mappings and f is unknown function. The above equation is called linear functional equation and w...

Ngày tải lên: 22/06/2014, 06:20