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نوع الوثيقة |
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مقال في مجلة دورية |
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عنوان الوثيقة |
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Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces |
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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 E be a real Banach space with a uniformly Gâteaux differentiable norm and which possesses uniform normal structure, K a nonempty bounded closed convex subset of E, T:K→K an asymptotically nonexpansive mapping with sequence {kn}n⊂[1,∞). Let {tn}⊂(0,1) be such that tn→1 as n→∞ and f be a contraction on K. Under suitable conditions on the sequence {tn}, we show the existence of a sequence {xn}n satisfying the relation xn=(1-tnkn)f(xn)+tnknTnxn, and prove that {xn}n converges strongly to the fixed point of T, which solves some variational inequality, provided ∥xn-Txn∥→0 as n→∞. As an application, we prove that the iterative process defined by z0∈K,zn+1:(1-tnkn)f(zn)+tnknTnzn,n∈N, converges strongly to the same fixed point of T. |
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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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64 |
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العدد |
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3 |
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سنة النشر |
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1427 هـ
2006 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 31, 2011 |
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الباحثون
| نصير شهزاد | Shahzad, Naseer | باحث | دكتوراه | nshahzad@kaau.edu.sa |
| Aniefiok Udomene | Udomene, Aniefiok | باحث | دكتوراه | epsilon_ani@yahoo.com |
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