The equivalence between the T-stabilities of Picard-Banach and Mann-Ishikawa iterations
Abstract We show that T-stability of Picard-Banach and Mann-Ishikawa iterations are equivalent. AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical…
works
Characterization for the convergence of Krasnoselskij iteration for non-Lipschitzian operators
Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy B.E. Roades Department of Mathematics, Indiana University, Bloomington,…
The equivalence between Krasnoselskij, Mann, Ishikawa, Noor and multistep iterations
Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis , Romanian Academy KeywordsKrasnoselskij iteration; Mann iteration; Ishikawa iteration; quasi-contractive operators Paper coordinatesŞ.M.…
The convergence of modified Mann-Ishikawa iterations when applied to an asymptotically pseudocontractive map
Abstract We prove that under minimal conditions the modified Mann and Ishikawa iterations converge when dealing with an asymptotically pseudocontractive…
The convergence of Mann iteration with delay
Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Diana Otrocol Tiberiu Popoviciu Institute of Numerical Analysis,…
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…
On a D.V. Ionescu’s problem for functional-differential equations
Abstract The purpose of this paper is to study a generalization of a D.V. Ionescu’s problem. Existence, uniqueness and data…