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Abstract Volterra operators

9 months ago

Abstract The aim of this paper is to study a differential equation with abstract Volterra operator. Existence and uniqueness, inequalities…

Functional-differential equations with “maxima” via weakly Picard operators theory

9 months ago

Abstract The purpose of this paper is to present a differential equation with ”maxima”. Existence, uniqueness, inequalities of Caplygin type…

The equivalence between the T-stabilities of Picard-Banach and Mann-Ishikawa iterations

9 months ago

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

9 months ago

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

9 months ago

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

9 months ago

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

9 months ago

Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Diana Otrocol Tiberiu Popoviciu Institute of Numerical Analysis,…

Mann iteration for direct pseudocontractive maps

9 months ago

Abstract For \(T\) a direct pseudocontractive map, we prove the convergence of Mann iteration to the fixed point of \(T\).…

The convergence of mann iteration for an asymptotic hemicontractive map

9 months ago

Abstract We prove that the Mann iteration convergence ot a fixed point of an asymptotic hemicontractive map. AuthorsStefan M. Soltuz…

The convergence of mean value iteration for a family of maps

9 months ago

Abstract We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with \(\lim_{n\rightarrow…

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