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The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings

✍ Scribed by Liu Qihou

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
294 KB
Volume
148
Category
Article
ISSN
0022-247X

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Γ„ 4 Γ„ 4 Γ„ 4 mapping. Given a sequence x in D and two real sequences t and s Γ„ 4 5 5 we prove that if x is bounded, then lim Tx y x s 0. The conditions on n n Βͺ Ο±n n D , X, and T are shown which guarantee the weak and strong convergence of the Ishikawa iteration process to a fixed point of T.