Document Details
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Document Type |
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Article In Journal |
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Document Title |
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Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings Convergence of Mann's type iteration method for generalized asymptotically nonexpansive mappings |
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Subject |
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Mathematics |
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Document Language |
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English |
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Abstract |
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Let C be a nonempty, closed and convex subset of a real Hilbert space H. 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 provided that the interior of common fixed points is nonempty. No compactness assumption is imposed either on T or on C. As a consequence, it is proved that Mann's method converges for a fixed point of nonexpansive mapping provided that interior of F(T)≠Combining long solidus overlay. The results obtained in this paper improve most of the results that have been proved for this class of nonlinear mappings. |
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ISSN |
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0898-1221 |
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Journal Name |
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Computers and Mathematics with Applications |
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Volume |
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62 |
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Issue Number |
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11 |
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Publishing Year |
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1432 AH
2011 AD |
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Article Type |
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Article |
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Added Date |
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Monday, February 20, 2012 |
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Researchers
| H Zegeye | Zegeye, H | Researcher | Master | habtuzh@yahoo.com |
| نصير شهزاد | Shahzad, Naseer | Researcher | Doctorate | nshahzad@kau.edu.sa |
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