We show that the convergence of Mann iteration is equivalent to the convergence of Ishikawa iteration for various classes of non-Lipschitzian operators.

Let X, d be a complete metric space, and let T be a self-map of X. If T has a unique fixed point, which can be obtained as the limit of the sequence {pn}, where pn Tp0, p0 any point of X, then T isâ€¦ (More)

In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class [Formula: see text] ([Formula: see text]) by Hausdorff means of its Fourier series.â€¦ (More)

Let D be a nonempty closed convex subset of an arbitrary uniformly smooth real Banach space E, and T : D â†’ D be a generalized Lipschitz -hemi-contractive mapping with q âˆˆ F(T ) = âˆ…. Let {an}, {bn},â€¦ (More)

We prove that Mann and Ishikawa iterations are equivalent models dealing with Ïˆ-uniformly pseudocontractive or d-weakly contractive maps without bounded range.