## How many steps still left to x*?

Abstract The high speed of $$x_{k}\rightarrow x^\ast\in{\mathbb R}$$ is usually measured using the C-, Q- or R-orders: \tag{$C$} \lim \frac…

## Existence and uniqueness of the solution for an integral equation with supremum

AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of…

## Stability results and qualitative properties for Mann’s algorithm via admissible perturbations technique

AbstractIn this paper we will present data dependence results for Mann iteration schene related to the fixed point inclusion. The…

## On the characterizations of partial metrics and quasimetrics

AbstractWe present the relationship between the notion of partial metric, which has applications in Computer Science, that of quasimetric (which…

## Solving inverse problems via hemicontractive maps

AbstractWe prove a “collage” theorem for hemicontractive maps and we use it for inverse problems. A numerical example is given.…

## The equivalence between Mann–Ishikawa iterations and multistep iteration

AbstractWe show that the convergence of Mann, Ishikawa iterations are equivalent to the convergence of a multistep iteration, for various…

## The Equivalence between T-Stabilities of The Krasnoselskij and The Mann Iterations

Abstract We prove the equivalence between the -stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence…

## Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators

Abstract We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example…

## The equivalence between the T-stabilities of Mann and Ishikawa iterations

Abstract We show that T-stability of Mann and Ishikawa iterations are equivalent. AuthorsB.E. Rhoades S.M. Soltuz (Tiberiu Popoviciu Institute of…

## The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps

AbstractThe convergence of modified Mann iteration is equivalent to the convergence of modified Ishikawa iterations, when T is an asymptotically…