In this paper, we establish a weak convergence theorem and some strong convergence theorems of an explicit iteration process for a finite family of strictly asymptotically pseudo-contractive mappings in the intermediate sense and also establish a strong convergence theorem by a new hybrid method for above said iteration scheme and mappings in the setting of Hilbert spaces. AMS Mathematics Subje...

In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the corresponding results in the existing literature. Finally, we will state that our theorems can be generalized to the case of finitely many mappings. c © 2007 Elsevier Ltd. Al...

In this paper, we introduce two kinds of iterative algorithms for finding zeroes of maximal monotone operators, and establish strong and weak convergence theorems of the modified proximal point algorithms. By virtue of the established theorems, we consider the problem of finding a minimizer of a convex function. Mathematics Subject Classification: Primary 47H17; Secondary 47H05, 47H10

In this paper, we first prove weak and strong convergence theorems for Ishikawa and Halpern iterations of 2-generalized hybrid mappings in uniformly convex Banach spaces and we apply our method to provide an affirmative answer to an open problem raised by Hojo, Takahashi and Termwuttipong [Strong convergence theorems for 2-generalized hybrid mappings in Hilbert spaces, Nonlinear Analysis, 75 (2...

In this paper, we introduce iterative algorithms for finding a common element of the set of fixed points for an asymptotically strict pseudocontractive mappings in the intermediate sense, the set of solutions of the variational inequalities for a family of α-inverse-strongly monotone mappings and the set of solutions of a system of equilibrium problems in a Hilbert space. We establish some weak...

In this paper, we use a new one-step iterative process to approximate the common fixed points of two nonself asymptotically nonexpansive mappings through some weak and strong convergence theorems.