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نوع الوثيقة |
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مقال في مجلة دورية |
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عنوان الوثيقة |
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Viscosity approximation methods for a common fixed point of finite family of nonexpansive mappings Viscosity approximation methods for a common fixed point of finite family of nonexpansive mappings |
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الموضوع |
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رياضيات |
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لغة الوثيقة |
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الانجليزية |
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المستخلص |
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Let K be a nonempty closed and convex subset of a real Banach space E. Let T : K → E be a nonexpansive weakly inward mapping with F (T) ≠ ∅ and f : K → K be a contraction. Then for t ∈ (0, 1), there exists a sequence {yt} ⊂ K satisfying yt = (1 - t) f (yt) + tT (yt). Furthermore, if E is a strictly convex real reflexive Banach space having a uniformly Gâteaux differentiable norm, then {yt} converges strongly to a fixed point p of T such that p is the unique solution in F (T) to a certain variational inequality. Moreover, if {Ti, i = 1, 2, ..., r} is a family of nonexpansive mappings, then an explicit iteration process which converges strongly to a common fixed point of {Ti, i = 1, 2, ..., r} and to a solution of a certain variational inequality is constructed. Under the above setting, the family Ti, i = 1, 2, ..., r need not satisfy the requirment that {Mathematical expression}. |
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ردمد |
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0096-3003 |
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اسم الدورية |
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Applied Mathematics and Computation |
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المجلد |
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191 |
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العدد |
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1 |
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سنة النشر |
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1428 هـ
2007 م |
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نوع المقالة |
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مقالة علمية |
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تاريخ الاضافة على الموقع |
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Saturday, December 17, 2011 |
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الباحثون
| H Zegeye | Zegeye, H | باحث | ماجستير | habtuzh@yahoo.com |
| نصير شهزاد | Shahzad, Naseer | باحث | دكتوراه | nshahzad@kau.edu.sa |
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