Regularized gap functions and error bounds for split mixed vector quasivariational inequality problems

Authors: Võ Minh Tâm, Nguyen Van Hung, Dumitru Baleanu, Nguyen Van Hung,

https://doi.org/10.1002/mma.6219

Publisher, magazine: ,

Publication year: 2020

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Abstract

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.

Tags: error bound, gap function, split mixed vector quasivariational inequality problem, strong monotonicity mapping