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Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis , Romanian Academy KeywordsKrasnoselskij iteration; Mann iteration; Ishikawa iteration; quasi-contractive operators Paper coordinatesŞ.M.…

Abstract We prove that under minimal conditions the modified Mann and Ishikawa iterations converge when dealing with an asymptotically pseudocontractive…

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

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

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

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

Abstract We show that the Mann and Ishikawa iterations are equivalently used to approximate fixed points of generalized contractions. AuthorsS.M.…

Abstract We show the convergence of an implicit mean value iteration when applied to uniformly pseudocontractive maps. Remarks about other…

Abstract We prove that Mann and Ishikawa iterations are equivalent models dealing with \(\psi\)-uniformly pseudocontractive or d-weakly contractive maps without…