کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
473199 | 698780 | 2011 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Convergence of Mann’s type iteration method for generalized asymptotically nonexpansive mappings
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Convergence of Mann’s type iteration method for generalized asymptotically nonexpansive mappings Convergence of Mann’s type iteration method for generalized asymptotically nonexpansive mappings](/preview/png/473199.png)
چکیده انگلیسی
Let CC be a nonempty, closed and convex subset of a real Hilbert space HH. Let Ti:C→H,i=1,2,…,N, be a finite family of generalized asymptotically nonexpansive mappings. It is our purpose, in this paper to prove strong convergence of Mann’s type method to a common fixed point of {Ti:i=1,2,…,N}{Ti:i=1,2,…,N} provided that the interior of common fixed points is nonempty. No compactness assumption is imposed either on TT or on CC. As a consequence, it is proved that Mann’s method converges for a fixed point of nonexpansive mapping provided that interior of F(T)≠0̸F(T)≠0̸. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 11, December 2011, Pages 4007–4014
Journal: Computers & Mathematics with Applications - Volume 62, Issue 11, December 2011, Pages 4007–4014
نویسندگان
H. Zegeye, N. Shahzad,