@article{Van_Huy_Pham_70120571,
	title = {A {Strongly} {Convergent} {Modified} {Halpern} {Subgradient} {Extragradient} {Method} for {Solving} the {Split} {Variational} {Inequality} {Problem}},
	volume = {48},
	issn = {23052228},
	url = {http://doi.org/10.1007/s10013-019-00378-y},
	doi = {10.1007/s10013-019-00378-y},
	abstract = {We propose a method for solving the split variational inequality problem (SVIP) involving Lipschitz continuous and pseudomonotone mappings. The proposed method is inspired by the Halpern subgradient extragradient method for solving the monotone variational inequality problem with a simple step size. A strong convergence theorem for an algorithm for solving such a SVIP is proved without the knowledge of the Lipschitz constants of the mappings. As a consequence, we get a strongly convergent algorithm for finding the solution of the split feasibility problem (SFP), which requires only two projections at each iteration step. A simple numerical example is given to illustrate the proposed algorithm.},
	number = {1},
	journal = {Vietnam Journal of Mathematics},
	author = {Van Huy, Pham and Hien, Nguyen Duc and Anh, Tran Viet},
	year = {2020},
	keywords = {Halpern subgradient extragradient method, Pseudomonotone mapping, Split feasibility problem, Split variational inequality problem, Strong convergence},
	pages = {187--204},
}

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