Regularized gap functions and error bounds for split mixed vector quasivariational inequality problems |
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| Authors: | Nguyen Van Hung Vo Minh Tam Dumitru Baleanu |
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| Institution: | 1. Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam;2. Department of Mathematics, Dong Thap University, Cao Lanh City, Vietnam;3. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey |
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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. |
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| Keywords: | error bound gap function split mixed vector quasivariational inequality problem strong monotonicity mapping |
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