• some iterative methods for finding fixed points and for solving constrained convex minimization problems

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 294
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
    the present paper is divided into two parts. in the first part, we introduce implicit and explicit iterative schemes for finding the fixed point of a nonexpansive mapping defined on the closed convex subset of a real hilbert space. we establish results on the strong convergence of the sequences generated by the proposed schemes to a fixed point of a nonexpansive mapping. such a fixed point is also a solution of a variational inequality defined on the set of fixed points. in the second part, we propose implicit and explicit iterative schemes for finding the approximate minimizer of a constrained convex minimization problem and prove that the sequences generated by our schemes converge strongly to a solution of the constrained convex minimization problem. such a solution is also a solution of a variational inequality defined over the set of fixed points of a nonexpansive mapping. the results of this paper extend and improve several results presented in the literature in the recent past.

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