The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps

The convergence of modified Mann iteration is equivalent to the convergence of modified Ishikawa iterations, when T is an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive map.

B.E. Rhoades

S.M. Soltuz
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

Modified Mann iteration; Modified Ishikawa iteration; Asymptotically nonexpansive in the intermediate sense; Strongly successively pseudocontractive

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B. E. Rhoades and Ş. M. Şoltuz, The equivalence between the convergences of Ishikawa and Mann iterations for asymptotically nonexpansive in the intermediate sense and strong successively pseudocontractive maps, J. Math. Anal. Appl. 289 (2004), 266-278.
doi: 10.1016/j.jmaa.2003.09.057

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