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Abstract: |
In the present paper, by virtue of new analysis technique, we have
established several strong convergence theorems for the modified Ishikawa
and Mann iteration schemes with errors for a class of asymptotically
demicontractive mappings in arbitrary real normed linear spaces. Our results
extend, generalize and improve the corresponding results obtained by Igbokwe
[1], Liu [2], Osilike [3] and and others.
[1] D.I. IGBOKWE, Approximation of fixed points of asymptotically
demicontractive mappings in arbitrary Banach spaces, to appear in
J.Ineq. Pure and Appl. Math.
[2] Q.H. LIU, Convergence theorems of sequence of iterates for
asymptotically demicontractive and hemicontractive mappings,
Nonlinear Anal. Appl., 26 (1996), 1835--1842.
[3] M.O. OSILIKE, Iterative approximations of fixed points asymptotically demicontractive mappings,
Indian J. Pure Appl. Math., 29 (1998), 1291--1300.
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