The Equivalence between the Mann and Ishikawa Iterations for Generalized Contraction Mappings in a Cone

Reconsiderations on the Equivalence of Convergence between Mann and Ishikawa Iterations for Asymptotically Pseudocontractive Mappings

The equivalence between the Mann and Ishikawa iterations dealing with generalized contractions

On Equivalence between Convergence of Ishikawa––mann and Noor Iterations

In this paper, we prove the equivalence of convergence between the Mann–Ishikawa– Noor and multistep iterations for Φ− strongly pseudocontractive and Φ− strongly accretive type operators in an arbitrary Banach spaces. Results proved in this paper represent an extension and refinement of the previously known results in this area. Mathematics subject classification (2010): 47H09, 47H10, 47H15.

The Equivalence among the Modified Mann–ishikawa and Noor Iterations for Uniformly L–lipschitzian Mappings in Banach Spaces

In this paper, the equivalence of the convergence among Mann-Ishikawa and Noor iterations is obtained for uniformly L-Lipschitzian mappings in real Banach spaces. Our results extend and improve the corresponding results in Chang [3] and Ofoedu [4]. Mathematics subject classification (2010): 47H10, 47H09, 46B20..

The Equivalence between Mann and Implicit Mann Iterations

We shall prove the equivalence bewteen the convergences of Mann and implicit Mann iterations dealing with various classes of non-Lipschitzian operators.