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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 methods of approximation for a common fixed point of a family of quasi-nonexpansive mappings Viscosity methods of approximation for a common fixed point of a family of quasi-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 convex subset of a real reflexive Banach space E that has weakly continuous duality mapping Jφ for some gauge φ. Let Ti : K → K, i = 1, 2, ..., be a family of quasi-nonexpansive mappings with F {colon equals} ∩i ≥ 1 F (Ti) ≠ 0{combining long solidus overlay} which is a sunny nonexpansive retract of K with Q a nonexpansive retraction. For given x0 ∈ K, let {xn} be generated by the algorithm xn + 1 {colon equals} αn f (xn) + (1 - αn) Tn (xn), n ≥ 0, where f : K → K is a contraction mapping and {αn} ⊆ (0, 1) a sequence satisfying certain conditions. Suppose that {xn} satisfies condition (A). Then it is proved that {xn} converges strongly to a common fixed point over(x, ̄) = Q f (over(x, ̄)) of a family Ti, i = 1, 2, .... Moreover, over(x, ̄) is the unique solution in F to a certain variational inequality. |
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ردمد |
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0362-546X |
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اسم الدورية |
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Nonlinear Analysis, Theory, Methods and Applications |
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المجلد |
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68 |
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العدد |
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7 |
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سنة النشر |
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1429 هـ
2008 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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Sunday, December 11, 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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