Báo cáo hóa học: " WEAK AND STRONG CONVERGENCE THEOREMS FOR RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES" ppt

... introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized ... V  p,x n+1  , (3.25) WEAK AND STRONG CONVERGENCE THEOREMS FOR RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES SHIN-YA MATSUSHITA AND WATARU TA...

Ngày tải lên: 23/06/2014, 00:20

... x n  n∈N be a weakly convergent sequence in U i . Then, the set S : {x n : n ∈ N} is relatively weakly compact and so ψS0. In view of 2.19, we infer that ψrS  0andsorS is relatively weakly ... ψB0andsoB is relatively weakly compact. Now, 2.19 guarantees that rB is relatively weakly compact. Now, we show that FrB is relatively Fixed Point Theory and Ap...

Ngày tải lên: 21/06/2014, 11:20

... Strong convergence theorems for finite quasi -nonexpansive mappings, Comm. Appl. Nonlinear Anal. 9 (2002), no. 3, 57–68. [2] , Strong convergence theorems for finite nonexpansive mappings in B anach ... the fixed point theory for nonexpansive mappings, Pacific J. Math. 40 (1972), 565–573. [9] N. Hirano, K. Kido, and W. Takahashi, Nonexpansive retractions and non...

Ngày tải lên: 23/06/2014, 00:20

... strong convergence theorem of an implicit-shrinking iterative process for two nonexpansive mappings and a relative nonexpansive mapping on Banach spaces. Note that the conditions of strong convergence ... different from the strong convergence theorems for the implicit iterative processes in the literatures. Finally, we discuss a strong convergence theorem con...

Ngày tải lên: 20/06/2014, 21:20

... mapping which satisfies condition (C). Next, we consider strong convergence theorem of an implicit-shrinking iterative process for two nonexpansive mappings and a relative nonexpansive mapping ... discuss a strong convergence theorem concerning two nonexpansive mappings and the resolvent of a maximal monotone operator in a Banach space. 1 Introduction Let E be a B...

Ngày tải lên: 20/06/2014, 21:20

... in E and x ∗ , y ∗ ∈ ω w (x n );hereω w (x n ) 2 Weak and strong convergence approximating a fixed point of nonexpansive nonself -mappings (when such a fixed point exists) and gave some strong and ... Fixed point iterations for certain nonlinear mappings, Journal of Mathematical Analysis and Applications 183 (1994), no. 1, 118–120. 10 Weak and strong convergence...

Ngày tải lên: 22/06/2014, 22:20

... of nonlinear mappings in Hilbert space,” Journal of Mathematical Analysis and Applications, vol. 20, pp. 197–228, 1967. 2 G. Marino and H K. Xu, Weak and strong convergence theorems for strict ... strictly pseudocontractive mappings of Browder-Petryshyn type,” Nonlinear Analysis, vol. 70, no. 10, pp. 3575–3583, 2009. 7 S. Reich, Weak convergence theorems for n...

Ngày tải lên: 21/06/2014, 11:20

... Anthony To Ming Lau We introduce a modified Ishikawa iterative process for approximating a fixed point of two in nitely nonexpansive self -mappings by using the hybrid method in a Hilbert space and prove that ... P C n ∩Q n  x q  ,n≥ q 1.3 and prove, {x n } converges strongly to a fixed point of {T 1 n } and {T 2 n }. We will use the notation:  for weak convergence...

Ngày tải lên: 21/06/2014, 20:20

... Takahashi, Strong convergence theorems for nonexpansive mappings and non- expansive semigroups,” Journal of Mathematical Analysis and Applications, vol. 279, no. 2, pp. 372–379, 2003. 3 H. He and ... Takahashi, Y. Takeuchi, and R. Kubota, Strong convergence theorems by hybrid methods for fam- ilies of nonexpansive mappings in Hilbert spaces,” Journal of Mathe...

Ngày tải lên: 21/06/2014, 22:20

... establish a strong convergence theorem for common fixed points of the multistep iterative scheme with errors for asymptotically nonexpansive mappings in the intermediate sense in a uniformly convex Banach ...  3andT 1  T 2  T 3  T in Theorem 3.4, we obtain strong convergence theorem for Noor iteration scheme with error for asymptotically nonexpansive mapping T...

Ngày tải lên: 22/06/2014, 02:20