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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Weak convergence theorems for a finite family of strict pseudocontractions Weak convergence theorems for a finite family of strict pseudocontractions |
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Subject |
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Mthematics |
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Document Language |
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English |
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Abstract |
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Let E be a uniformly smooth real Banach space which is also uniformly convex and K be a nonempty closed convex subset of E. Let T : K → K be a λ-strict pseudocontraction for some 0 ≤ λ < 1 with x* ∈ F (T) : = {x ∈ K : T x = x} ≠ 0{combining long solidus overlay}. For a fixed x0 ∈ K, define a sequence {xn} by xn + 1 = (1 - αn) xn + αn T xn, where {αn} is a sequence in [0, 1] satisfying the following conditions: (i) ∑n = 0∞ αn = ∞; (ii) ∑n = 0∞ αn2 < ∞. Then, {xn} converges weakly to a fixed point of T. Furthermore, weak convergence theorems are proved for a common fixed point for a finite family of strict pseudocontractions. © 2009 Elsevier Ltd. All rights reserved. |
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ISSN |
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0362546X |
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Journal Name |
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Nonlinear Analysis, Theory, Methods and Applications |
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Volume |
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72 |
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Issue Number |
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3-4 |
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Publishing Year |
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2010 AH
2010 AD |
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Article Type |
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Article |
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Added Date |
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Tuesday, January 5, 2010 |
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Researchers
| نصير شهزاد | Shahzad, Naseer | Researcher | Doctorate | nshahzad@kaau.edu.sa |
| E C Chidume | Chidume, E C | Researcher | Doctorate | chidume@ictp.it |
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