The Equivalence Between The T-Stabilities Of Picard-Banach And Mann-Ishikawa Iterations

Ştefan M. Şoltuz · 2008

[1] S. Ishikawa, Fixed points by a new iteration method, Proc. Amer. Math. Soc.,44(1974), 147–150.[2] A. M. Harder and T. Hicks, Stability results for fixed point iteration procedures,Math. Japonica, 33 (1988), 693–706.[3] W. R. Mann, Mean value in iteration, Proc. Amer. Math. Soc., 4 (1953), 506–510.[4] M. O. Osilike, Stability of the Mann and Ishikawa iteration procedures for φ-strongpseudocontractions and nonlinear equations of the φ-strongly accretive type, J.Math. Anal. Appl., 227 (1998), 319–334.[5] B. E. Rhoades and S¸. M. S¸oltuz, On the equivalence of Mann and Ishikawaiterationmethods, Int. J. Math. Math. Sci., 2003(2003), 451–459.[6] B. E. Rhoades and S¸. M. S¸oltuz, The equivalence between the T-stabilities of Mannand Ishikawa iterations, J. Math. Anal. Appl., 318(2006), 472-475.

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