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Regularized gap functions and error bounds for split mixed vector quasivariational inequality problems
Author(s) -
Van Hung Nguyen,
Minh Tam Vo,
Baleanu Dumitru
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6219
Subject(s) - mathematics , hilbert space , vector valued function , inequality , function (biology) , nonlinear system , mathematical analysis , physics , quantum mechanics , evolutionary biology , biology
In this paper, we consider a class of split mixed vector quasivariational inequality problems in real Hilbert spaces and establish new gap functions by using the method of the nonlinear scalarization function. Further, we obtain some error bounds for the underlying split mixed vector quasivariational inequality problems in terms of regularized gap functions. Finally, we give some examples to illustrate our results. The results obtained in this paper are new.