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COMMENTS ON RELAXED (γ, r)-COCOERCIVE MAPPINGS
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نویسنده
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SAEIDI SHAHRAM
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منبع
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international journal of nonlinear analysis and applications - 2010 - دوره : 1 - شماره : 1 - صفحه:54 -57
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چکیده
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We show that the variational inequality v i(c,a) has a unique solution for a relaxed (γ, r)-cocoercive, μ-lipschitzian mapping a : c → h with r > γ μ^2, where c is a nonempty closed convex subset of a hilbert space h. from this result, it can be derived that, for example, the recent algorithms given in the references of this paper, despite their becoming more complicated, are not general as they should be.
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کلیدواژه
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Common element; Contraction; Fixed point; Iteration; Nonexpansive mapping; Relaxed (γ ,r)-cocoercive mappings; Variational inequality.
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آدرس
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university of kurdistan, Department of Mathematics, ایران
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پست الکترونیکی
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shahram saeidi@yahoo.com
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Authors
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