مشخصات پژوهش

صفحه نخست /The strong convergence of a ...
عنوان The strong convergence of a proximal point algorithm in complete CAT(0) metric spaces
نوع پژوهش مقاله چاپ‌شده
کلیدواژه‌ها Maximal monotone operator, proximal point algorithm, Hadamard space, nonexpansive mapping, resolvent operator
چکیده In this paper, we consider a proximal point algorithm for finding zeros of maximal mono- tone operators in complete CAT(0) spaces. First, a necessary and sufficient condition is presented for the zero set of the operator to be nonempty. Afterwards, we prove that, un- der suitable conditions, the proposed algorithm converges strongly to the metric projection of some point onto the zero set of the involving maximal monotone operator.
پژوهشگران سمیه جعفری (نفر سوم)، سیروس مرادی (نفر دوم)، محسن طاهرنیا (نفر اول)