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- T.M.Tuyen, N.T.T.Thuy, N.M.Trang, A Strong Convergence Theorem for a Parallel Iterative Method for Solving the Split Common Null Point Problem in Hilbert Spaces.

Ngày đăng: 01/10/2019

There are many iterative methods for solving the split common null point problems involving step sizes that depend on the norm of a bounded linear operator T. We know that the implementation of such algorithms is usually difficult to handle, because we have to compute the norm of the operator T. So, we propose new iterative methods involving a step size selected in such a way that its implementation does not require the computation or estimation of the norm of the operator T. In this paper, a new parallel iterative method for solving the split common null point problem is introduced in Hilbert spaces, without prior knowledge of operator norms. Moreover, some applications of our main results to the multiple-set split feasibility problem and the split minimum point problem are also presented.

- T.M.Tuyen, N.T.T.Thuy, N.M.Trang, A Strong Convergence Theorem for a Parallel Iterative Method for Solving the Split Common Null Point Problem in Hilbert Spaces, Journal of Optimization Theory and Applications 183(2). October 2019.

Tin liên quan

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- Jong Kyu Kim, Truong Minh Tuyen, A parallel iterative method for a finite family of Bregman strongly nonexpansive mappings in reflexive Banach spaces, J. Korean Math. Soc. 2020 Vol. 57, No. 3, 617-640
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- Truong Minh Tuyen & Nguyen Minh Trang, Parallel Iterative Methods for Solving the Split Common Fixed Point Problem in Hilbert Spaces, Numerical Functional Analysis and Optimization, 25 Oct 2019, Pages 778-805
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- Jong Kyu Kim and Truong Minh Tuyen, New iterative methods for finding a common zero of a finite family of accretive operators in Banach spaces, journal of nonlinear and convex analysis, Volume 21, Number 1, 139-155, 2020

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