The backward Mann iteration
Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis Keywords? Paper coordinatesŞ.M. Şoltuz, The backward Mann iteration, Octogon Math. Mag.…
works
Sequence supplied by inequalities and an application
Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis Keywords? Paper coordinatesŞ.M. Şoltuz, Sequence supplied by inequalities and an application,…
Mann iteration for direct pseudocontractive maps
Abstract For \(T\) a direct pseudocontractive map, we prove the convergence of Mann iteration to the fixed point of \(T\).…
A correction for a result on convergence of Ishikawa iteration for strongly pseudocontractive maps
Abstract We give a correction to the main result from [13]. AuthorsSoltuz M. Stefan Tiberiu Popoviciu Institute of Numerical analysis…
The convergence of mann iteration for an asymptotic hemicontractive map
Abstract We prove that the Mann iteration convergence ot a fixed point of an asymptotic hemicontractive map. AuthorsStefan M. Soltuz…
Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models
Abstract Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models for several classes of operators. AuthorsStefan M. Soltuz Tiberiu…
The convergence of mean value iteration for a family of maps
Abstract We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with \(\lim_{n\rightarrow…
The equivalence between the Mann and Ishikawa iterations dealing with generalized contractions
Abstract We show that the Mann and Ishikawa iterations are equivalently used to approximate fixed points of generalized contractions. AuthorsS.M.…
The convergence of an implicit mean value iteration
Abstract We show the convergence of an implicit mean value iteration when applied to uniformly pseudocontractive maps. Remarks about other…
The equivalence of Mann and Ishikawa iterations dealing with uniformly pseudocontractive maps without bounded range
Abstract We prove that Mann and Ishikawa iterations are equivalent models dealing with \(\psi\)-uniformly pseudocontractive or d-weakly contractive maps without…