## 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…

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

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

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

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

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

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

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

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

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

Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…