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Iterative methods for solving proximal split minimization problems |
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| Authors: | M Abbas M AlShahrani Q H Ansari O S Iyiola Y Shehu |
| Institution: | 1.Department of Mathematics,Government College University,Lahore,Pakistan;2.Department of Mathematics,King Abdulaziz University,Jeddah,Saudi Arabia;3.Department of Mathematics & Statistics,King Fahd University of Petroleum & Minerals,Dhahran,Saudi Arabia;4.Department of Mathematics,Aligarh Muslim University,Aligarh,India;5.Department of Mathematical Sciences,University of Wisconsin,Milwaukee,USA;6.Department of Mathematics,University of Nigeria,Nsukka,Nigeria |
| Abstract: | In this paper, we propose two iterative algorithms for finding the minimum-norm solution of a split minimization problem. We prove strong convergence of the sequences generated by the proposed algorithms. The iterative schemes are proposed in such a way that the selection of the step-sizes does not need any prior information about the operator norm. We further give some examples to numerically verify the efficiency and implementation of our new methods and compare the two algorithms presented. Our results act as supplements to several recent important results in this area. |
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