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…
Nonlinear analysis
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…
The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map
AbstractThe convergence of Mann iteration is equivalent to the convergence of Ishikawa iterations, when T is an asymptotically nonexpansive and asymptotically pseudocontractive…
Methods of Newton and Newton-Krylov type
Book summaryLocal convergence results on Newton-type methods for nonlinear systems of equations are studied. Solving of large linear systems by…