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عنوان
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Weak and Strong Convergence Results for Split Variational Inclusion Problem and Fixed Point Problem
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Split variational inclusion, Iterative algorithm, Weak convergence, Strong convergence, Convergence rate.
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چکیده
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In this paper, we introduce a new iterative algorithm for finding a common solution for variational inclusion problem and fixed point problem in real Hilbert spaces. This method can be implemented more easily without the prior knowledge of the Lipschitz constant of component operators. The algorithm uses variable step-sizes which are updated at each iteration by a simple computation. In additional, weak and strong convergence results of the proposed algorithm are obtained under some mild conditions. Then, we establish the linear rate of convergence for the proposed algorithm. Finally, an example is given to illustrate the convergence of the algorithm.
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پژوهشگران
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ربابه حلمبرانی حقی (نفر اول)، آرامش صفری (نفر دوم)، کمال فلاحی (نفر سوم)
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