New iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces
Bull. Korean Math. Soc. 2017 Vol. 54, No. 4, 1347-1359
https://doi.org/10.4134/BKMS.b160581
Published online July 31, 2017
Jong Kyu Kim and Truong Minh Tuyen
Kyungnam University, Thainguyen University
Abstract : The purpose of this paper is to give some new iterative methods for finding a common zero of a finite family of monotone operators in Hilbert spaces. We also give the applications of the obtained result for the convex feasibility problem and constrained convex optimization problem in Hilbert spaces.
Keywords : monotone operators, proximal point algorithm, common zero
MSC numbers : 47H06, 47H09, 47H10, 47J25
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