Weak and strong convergence of common fixed points for asymptotically quasi-nonexpansive type mappings in Banach spaces
Weak and strong convergence of multistep iteration for finite family of asymptotically nonexpansive mappings.
Weak and strong convergence theorems for asymptotically strict pseudocontractive mappings in the intermediate sense.
Weak and strong convergence theorems for equilibrium problems and countable strict pseudocontractions mappings in Hilbert space.
Weak and strong convergence theorems for nonexpansive mappings in Banach spaces.
Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces.
Weak and strong convergence theorems of an implicit iteration process for a countable family of nonexpansive mappings.
Weak and strong convergence theorems of common fixed points for a pair of nonexpansive and asymptotically nonexpansive mappings
The purpose of this paper is to establish some weak and strong convergence theorems of modified three-step iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper generalize, improve and unify a few results due to Chang [1], Liu and Kang [5], Osilike and Aniagbosor [7], Rhoades [8] and Schu [9], [10] and others. An example is included to demonstrate that our results are sharp....
Weak contractions, common fixed points, and invariant approximations.
Weak convergence of an iterative sequence for accretive operators in Banach spaces.
Weak Convergence of the Sequence of Successive Approximations for Para--nonexpansive Mappings
Weak convergence of the sequence of successive approximations for para- nonexpansive mappings.
Weak convergence theorem by an extragradient method for variational inequality, equilibrium and fixed point problems.
Weak convergence theorem for Passty type asymptotically nonexpansive mappings.
Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces.
Weak convergence theorems for a system of mixed equilibrium problems and nonspreading mappings in a Hilbert space.
Weak convergence theorems for asymptotically nonexpansive mappings in uniformly convex Banach spaces
Weak convergence theorems of three iterative methods for strictly pseudocontractive mappings of Browder-Petryshyn type.
Weak uniform normal structure and iterative fixed points of nonexpansive mappings
This paper is concerned with weak uniform normal structure and iterative fixed points of nonexpansive mappings. Precisely, in Section 1, we show that the geometrical coefficient β(X) for a Banach space X recently introduced by Jimenez-Melado [8] is exactly the weakly convergent sequence coefficient WCS(X) introduced by Bynum [1] in 1980. We then show in Section 2 that all kinds of James' quasi-reflexive spaces have weak uniform normal structure. Finally, in Section 3, we show that in a space X with...
Weak uniform normal structure in direct sum spaces
The weak normal structure coefficient WCS(X) is computed or bounded when X is a finite or infinite direct sum of reflexive Banach spaces with a monotone norm.