The purpose of this paper is to consider a new implicit iteration and study its strong
convergence, stability, and data dependence. It is proved through numerical examples that …

In this paper, we establish strong and∆-convergence theorems of modified three-step
iterations for total asymptotically nonexpansive mapping which is wider than the class …

The aim of this paper is to introduce an implicit S-iteration process and study its
convergence in the framework of W-hyperbolic spaces. We show that the implicit S-iteration …

In this article, we define a new three-step implicit iteration and study its strong convergence,
stability and data dependence. It is shown that the new three-step iteration has better rate of …

Construction of minimum-norm fixed points of pseudocontractions in Hilbert spaces |
Journal of Inequalities and Applications Skip to main content SpringerLink Account Menu …

Let K be a compact convex subset of a real Hilbert space H and T i: K→ K, i= 1, 2,…, k, be a
family of continuous hemicontractive mappings. Let α n, β ni∈[0, 1] be such that α n+∑ i= 1 …

Professor Ljubomir B. Ćirić, one of the pioneers in the study of fixed point theory and
nonlinear analysis in Serbia, died on Saturday, 23 th July 2016. Here, we present his brief …

The purpose of this paper is to characterize the conditions for the convergence of the implicit
Mann iterative scheme with error term to the unique fixed point of ϕ-hemicontractive …

In this note, we speed up the convergence of the Picard sequence of iterations for strongly
accretive and strongly pseudo-contractive mappings. Our results improve the results of …

The purpose of this paper is to characterize conditions for the convergence of the implicit
Mann iterative scheme due to Xu and Ori (An implicit iterative process for nonexpansive …