On the convergence of iterative processes for generalized strongly asymptotically \(\phi\)-pseudocontractive mappings in Banach spaces.

*(English)*Zbl 1295.47078Summary: We prove the equivalence and the strong convergence of iterative processes involving generalized strongly asymptotically \(\phi\)-pseudocontractive mappings in uniformly smooth Banach spaces.

##### MSC:

47J25 | Iterative procedures involving nonlinear operators |

47H09 | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. |

##### Keywords:

strong convergence; iterative process; generalized strongly asymptotically \(\phi\)-pseudocontractive mapping; uniformly smooth Banach space
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\textit{V. Colao}, J. Appl. Math. 2012, Article ID 563438, 18 p. (2012; Zbl 1295.47078)

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