کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4636303 | 1340721 | 2007 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Viscosity approximation methods for pseudocontractive mappings in Banach spaces
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Viscosity approximation methods for pseudocontractive mappings in Banach spaces Viscosity approximation methods for pseudocontractive mappings in Banach spaces](/preview/png/4636303.png)
چکیده انگلیسی
Let K be a closed convex subset of a Banach space E and let T : K → E be a continuous weakly inward pseudocontractive mapping. Then for t ∈ (0, 1), there exists a sequence {yt} ⊂ K satisfying yt = (1 − t)f(yt) + tT(yt), where f ∈ ΠK ≔ {f : K → K, a contraction with a suitable contractive constant}. Suppose further that F(T) ≠ ∅ and E is reflexive and strictly convex which has uniformly Gâteaux differentiable norm. Then it is proved that {yt} converges strongly to a fixed point of T which is also a solution of certain variational inequality. Moreover, an explicit iteration process which converges strongly to a fixed point of T and hence to a solution of certain variational inequality is constructed provided that T is Lipschitzian.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 185, Issue 1, 1 February 2007, Pages 538–546
Journal: Applied Mathematics and Computation - Volume 185, Issue 1, 1 February 2007, Pages 538–546
نویسندگان
Habtu Zegeye, Naseer Shahzad, Tefera Mekonen,