A remark concerning the paper “An equivalence between the convergence of Ishikawa, Mann and Picard iterations
Abstract n this note we show that a result previously obtained by us [An Equivalence Between the Convergences of Ishikawa,…
(original)
The Equivalence of Mann Iteration and Ishikawa iteration for ψ-uniformly pseudocontractive or ψ-uniformly accretive maps
Abstract AuthorsB. E. Rhoades Department of Mathematics, Indiana University, Bloomington, IN 47405-7106 Stefan M. ¸Soltuz “Tiberiu Popoviciu” Institute of Numerical…
The equivalence of Mann and Ishikawa iteration for a Lipschitzian ψ-uniformly pseudocontractive and ψ-uniformly accretive 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 of Mann and Ishikawa iterations dealing with strongly pseudocontractive or strongly accretive maps,
Abstract AuthorsB.E. Rhoades S.M. Soltuz Tiberiu Popoviciu Institute of Numerical Analysis Keywords? Paper coordinatesB.E. Rhoades and Ş.M. Şoltuz, The equivalence of…
On the boundedness of the associated sequence of Mann iteration for several operator classes with applications
Abstract We prove that the associated sequence of Mann iteration is decreasing and hence bounded provided that the operator satisfies…
The Mann and Ishikawa iterations and the Mann-Ishikawa with errors are equivalent models dealing with a non-Lipschitzian map
Abstract The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models for several classes of non-Lipschitzian operators. AuthorsB.…
The equivalence of Picard, Mann and Ishikawa iterations dealing with quasi-contractive operators
Abstract We show that the Ishikawa iteration, the corresponding Mann iteration and the Picard iteration are equivalent when applied to…
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…