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Approximating the fixed points of φ-hemicontractions by the Ishikawa iterative process with mixed errors in normed linear spaces

✍ Scribed by Haiyun Zhou; Y.J. Cho; Shih-sen Chang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 307 KB
Volume: 47
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(01)00593-4

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✦ Synopsis

Let (X) be a real normed linear space, (K) be a nonempty and convex subset of (X) and (T: K \rightarrow K) be a uniformly continuous and hemicontractive mapping. It is shown that the Ishikawa iterative process with mixed errors converges strongly to the unique fixed point of (T). As consequences, several new strong convergence results are deduced and some known results are improved.

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Approximations for fixed points of φ-hemicontractive mappings by the Ishikawa iterative process with mixed errors

✍ Yeol Je Cho; Haiyun Zhou; Shin Min Kang; Seong Sik Kim 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 650 KB

X be a real uniformly smooth Banach space, K be a nonempty closed convex subset of X and T K + K be a generalized Lrpschrtzran and hemrcontractrve mapping It IS shown that the Ishlkawa iterative process with mrxed errors converges strongly to the unique fixed pomt of the mapping T As consequences, s