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نوع الوثيقة |
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مقال في مجلة دورية |
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عنوان الوثيقة |
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Common fixed points in best approximation for Banach operator pairs with Ćirić type I-contractions Common fixed points in best approximation for Banach operator pairs with Ćirić type I-contractions |
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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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The common fixed point theorems, similar to those of Ćirić [Lj.B. Ćirić, On a common fixed point theorem of a Gregus type, Publ. Inst. Math. (Beograd) (N.S.) 49 (1991) 174-178; Lj.B. Ćirić, On Diviccaro, Fisher and Sessa open questions, Arch. Math. (Brno) 29 (1993) 145-152; Lj.B. Ćirić, On a generalization of Gregus fixed point theorem, Czechoslovak Math. J. 50 (2000) 449-458], Fisher and Sessa [B. Fisher, S. Sessa, On a fixed point theorem of Gregus, Internat. J. Math. Math. Sci. 9 (1986) 23-28], Jungck [G. Jungck, On a fixed point theorem of Fisher and Sessa, Internat. J. Math. Math. Sci. 13 (1990) 497-500] and Mukherjee and Verma [R.N. Mukherjee, V. Verma, A note on fixed point theorem of Gregus, Math. Japon. 33 (1988) 745-749], are proved for a Banach operator pair. As applications, common fixed point and approximation results for Banach operator pair satisfying Ćirić type contractive conditions are obtained without the assumption of linearity or affinity of either T or I. Our results unify and generalize various known results to a more general class of noncommuting mappings. © 2007 Elsevier Inc. All rights reserved. |
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ردمد |
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0022-247X |
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اسم الدورية |
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Journal of Mathematical Analysis and Applications, Volume 338, Issue 2, Pages 1351-1363 |
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المجلد |
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338 |
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العدد |
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2 |
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سنة النشر |
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2008 هـ
2008 م |
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عدد الصفحات |
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13 |
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نوع المقالة |
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مقالة علمية |
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تاريخ الاضافة على الموقع |
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Thursday, October 15, 2009 |
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