Báo cáo hóa học: "Research Article Convergence Theorems for the Unique Common Fixed Point of a Pair of Asymptotically Nonexpansive Mappings in Generalized Convex Metric Space" pptx
... fixed points of mean nonexpansive mapping
in Banach spaces,” Fixed Point Theory and Applications, vol. 2008, Article ID 471532, 7 pages, 2008.
3 W. Takahashi, A convexity in metric space and nonexpansive ... to the unique
common fixed point of a pair of asymptotically nonexpansive mappings S and T in complete
generalized convex metric spaces.
T...
... problem and a
nonexpansive mapping,” in Nonlinear Analysis and Convex Analysis, W. Takahashi and T. Tanaka,
Eds., pp. 609–617, Yokohama, Yokohama, Japan, 2007.
[8] W. Takahashi, Nonlinear Functional ... Combettes and Hirstoaga [2], Moudafi
[5], Wittmann [6], and Tada and Takahashi [7].
In this paper, motivated and inspired by Combettes and Hirstoaga [2] and Takahashi
and Takahashi [4...
... 1992.
[7] A. Tada and W. Takahashi, “Strong convergence theorem for an equilibrium problem and a
nonexpansive mapping,” in Nonlinear Analysis and Convex Analysis, W. Takahashi and T. Tanaka,
Eds., ... for nonexpansive mappings, ” Journal of Mathe-
matical Analysis and Applications, vol. 298, no. 1, pp. 279–291, 2004.
[11] W. Takahashi, “Weak and strong convergence theor...
... present the main theorems of this paper. In Section 3, the proofs of the main
theorems in this paper are presented.
2. Main Theorems
In this section, we will introduce the main results of this paper.
Let ... series convergence
theorem, and Petrov’s strong law of large numbers for sequences of independent random
variables are the particular cases of this p...
... Mathematical Analysis and Applications, vol. 259, no. 1, pp. 18–24, 2001.
6 N. Shahzad and A. Udomene, “Approximating common fixed points of two asymptotically quasi-
nonexpansive mappings in Banach ... nonexpansive mappings, ” Journal of Mathematical Analysis and Applications, vol. 280,
no. 2, pp. 364–374, 2003.
2 Fixed Point Theory and Applications
can also be defined...
... 1995.
19 A. Tiryaki and M. F. Aktas¸, “Oscillation criteria of a certain class of third order nonlinear delay
differential equations with damping,” Journal of Mathematical Analysis and Applications, ... the
Riccati transformation and the integral averaging method and extend them to the third-order
equations. Our method is based on the suitable comparison theorems.
Lazer 1...
... 336–346, 2007.
7 K. Nakajo and W. Takahashi, “Strong convergence theorems for nonexpansive mappings and
nonexpansive semigroups,” Journal of Mathematical Analysis and Applications, vol. 279, no. ... 372–
379, 2003.
8 A. Tada and W. Takahashi, “Weak and strong convergence theorems for a nonexpansive mapping and
an equilibrium problem,” Journal of Optimization The...
... convex and bounded subset of a real uniformly convex Banach space and
T is an asymptotically nonexpansive mapping on C, then T has a fixed point.
T is said to be asymptotically nonexpansive in the intermediate ... Applications
The class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk
1 as a generalization of the class of no...
... point in the intersection of the
fixed point sets of a family of nonexpansive mappings; see, for example, 9. The problem
of finding an optimal point that minimizes a given cost function over common ... Points
for a Finite Family of Nonexpansive Mappings
in Banach Spaces
Yeol Je Cho,
1
Shin Min Kang,
2
and Xiaolong Qin
2
1
Department of Mathematic...
... and X. Qin, Convergence theorems of fixed points for a finite family of
nonexpansive mappings in Banach spaces,” Fixed Point Theory and Applications, vol. 2008, Article ID
856145, 7 pages, 2008.
6 ... pseudocontractive mappings, ” Kochi Journal of Mathematics, vol. 3, pp. 67–76,
2008.
12 X. Qin and Y. Su, “Approximation of a zero point of accretive operator...