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An Iterative Method for Solving the Multiple-Sets Split Variational Inequality Problem
An Iterative Method for Solving the Multiple-Sets Split Variational Inequality Problem
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Date
2022
Authors
Tran Luu Cuong
Tran Viet Anh
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Research Projects
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Abstract
In this work, we introduce a new algorithm for finding the minimum-norm solution of the multiple-sets split variational inequality problem in real Hilbert spaces. The strong convergence of the iterative sequence generated by the algorithm method is established under the condition that the mappings are monotone and Lipschitz continuous. We apply our main result to study the minimum-norm solution of the multiple-sets split feasibility problem and the split variational inequality problem. Finally, a numerical example is given to illustrate the proposed algorithm.