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The convergence of modified Mann-Ishikawa iterations when applied to an asymptotically pseudocontractive map

1 year 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

1 year ago

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

Sequences supplied by inequalities

1 year ago

Abstract AuthorsStefan M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy Keywordsnonnegative real sequences. Paper coordinatesŞ.M. Şoltuz, Sequences supplied by…

Mann iteration for generalized pseudocontractive maps in Hilbert spaces

1 year ago

Abstract If \(X\) is a real Hilbert space, \(B\) is a nonempty, bounded, convex and closed subset, \(T:B\rightarrow B\) is…

Mann iteration for direct pseudocontractive maps

1 year ago

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

1 year ago

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

1 year ago

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

On the equivalence of Mann and Ishikawa iteration methods

1 year ago

Abstract AuthorsB. E. Rhoades Department of Mathematics, Indiana University, Bloomington, IN47405-7106, USA Stefan M. Soltuz: “T. Popoviciu” Institute of Numerical…

The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators

1 year ago

Abstract AuthorsB. E. Rhoades Department of Mathematics, Indiana University, Bloomington, IN47405-7106, USA Stefan M. Soltuz: “T. Popoviciu” Institute of Numerical…

Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models

1 year ago

Abstract Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models for several classes of operators. AuthorsStefan M. Soltuz Tiberiu…

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