Báo cáo hóa học: "Research Article Strong Convergence of Two Iterative Algorithms for Nonexpansive Mappings in Hilbert Spaces" potx

... of nonlinear mappings in Hilbert space,” Journal of Mathematical Analysis and Applications, vol. 20, pp. 197–228, 1967. 11 B. Halpern, “Fixed points of nonexpanding maps,” Bulletin of the American ... “Approximation of fixed points of nonexpansive mappings, ” Archiv der Mathematik, vol. 58, no. 5, pp. 486–491, 1992. 22 H K. Xu, “Viscosity approximation methods for n...

Ngày tải lên: 22/06/2014, 11:20

... α n  y n ,n≥ 0, 2.23 converges strongly to Pu. References 1 F. E. Browder and W. V. Petryshyn, “Construction of fixed points of nonlinear mappings in Hilbert space,” Journal of Mathematical Analysis ... Evidently, the definition of the inverse strongly accretive operator is based on that of the inverse strongly monotone operator. Let D be a subset of C and let Q be a mapp...

Ngày tải lên: 22/06/2014, 02:20

... Furi We introduce an iterative method for finding a common element of the set of solutions of equilibrium problems, the set of solutions of variational inequality problems, and the set of fixed points ... 417–428, 2003. 13 H. Iiduka and W. Takahashi, Strong convergence theorems for nonexpansive mappings and inverse- strongly monotone mappings, ” Nonlinear Analysis: T...

Ngày tải lên: 22/06/2014, 11:20

... element of K. Since C has the fixed point property for nonexpansive mappings, S r has a fixed point v in K.UsingLemma 2.2, we have LIM  x − v, J  x n − v   ≤ 0,x∈ C. 3.15 12 Fixed Point Theory ... k   x − y   , ∀x, y ∈ C. 1.2 In the last ten years, many papers have been written on the approximation of fixed point for nonlinear mappings by using some iterative proce...

Ngày tải lên: 21/06/2014, 20:20

... Simeon Reich The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi- relatively nonexpansive mappings. In order to get these convergence theorems, the ... FT. The purpose of this article is to prove strong convergence theorems for fixed points of closed hemi-relatively nonexpansive mappings. In order to get these...

Ngày tải lên: 22/06/2014, 06:20

... fixed point problems. There are many authors who studied the problem of finding a common element of the fixed point of nonlinear mappings and the set of solutions of a variational inequality in the ... Takahashi We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively...

Ngày tải lên: 22/06/2014, 11:20

... Various algorithms and their strong convergence play an important role in finding a common element of the set of fixed common fixed point for different classes of mappings and the set of solutions of ... sufficient to guarantee strong convergence of the sequence in Theorem XO? The aim of this paper is to study strong convergence of iterative algorithm 1.6...

Ngày tải lên: 21/06/2014, 07:20

... fixed point of T if x  Tx. We will denote by FT the set of fixed points of T. In 1967, Halpern 1 introduced an explicit iterative scheme for a nonexpansive mapping T on a subset C of a Hilbert ... points of nonexpansive mappings, ” Archiv der Mathematik, vol. 58, no. 5, pp. 486–491, 1992. 8 N. Shioji and W. Takahashi, Strong convergence of approximated sequenc...

Ngày tải lên: 21/06/2014, 07:20

... families of nonexpansive mappings of C into itself such that ∅ /  FT ⊂  ∞ n1 FT n , where FT N  is the set of all fixed points of T n and FT is the set of all common fixed points of T. ... and of Zegeye and Shahzad 2008 from the class of nonexpansive mappings to asymptotically nonexpansive mappings. 1. Introduction Throughout this paper, Let H be a real...

Ngày tải lên: 21/06/2014, 11:20

... nonexpansive mappings in a Hilbert space. We prove some strong convergence theorems for the proposed iterative scheme to a fixed point of the family of nonexpansive mappings, which is the unique solution of ... problems and in the common fixed-point set of a finite family of nonexpansive mappings in a Hilbert space. Let {T n } N n1 N ≥ 1 be a finite famil...

Ngày tải lên: 21/06/2014, 11:20