Abstract Volterra operators
Abstract The aim of this paper is to study a differential equation with abstract Volterra operator. Existence and uniqueness, inequalities…
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Functional-differential equations with “maxima” via weakly Picard operators theory
Abstract The purpose of this paper is to present a differential equation with ”maxima”. Existence, uniqueness, inequalities of Caplygin type…
Data dependece for strongly pseudocontractive operators
Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Keywords? Paper coordinatesŞ.M. Şoltuz, Data dependece for strongly pseudocontractive…
Inverse problems via generalized contractive operators
Abstract Abstract.We prove a “collage” theorem for a generalized contractive type operators. AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical…
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…
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…