Regularized Gap Functions and Error Bounds for Split Mixed Vector Quasivariational Inequality Problems
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Date
2020
Journal Title
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Volume Title
Publisher
Wiley
Open Access Color
Green Open Access
No
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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.
Description
Vo, Minh Tam/0000-0002-3959-5449; Hung, Nguyen Van/0000-0002-6123-1916
Keywords
Error Bound, Gap Function, Split Mixed Vector Quasivariational Inequality Problem, Strong Monotonicity Mapping, strong monotonicity mapping, error bound, split mixed vector quasivariational inequality problem, Fuzzy operator theory, Variational inequalities (global problems) in infinite-dimensional spaces, gap function, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), Set-valued and variational analysis
Fields of Science
0211 other engineering and technologies, 02 engineering and technology
Citation
Van Hung, Nguyen; Tam, Vo Minh; Baleanu, Dumitru (2020). "Regularized gap functions and error bounds for split mixed vector quasivariational inequality problems", Mathematical Methods in the Applied Sciences, Vol. 43, no. 7, pp. 4614-4626.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
3
Source
Mathematical Methods in the Applied Sciences
Volume
43
Issue
7
Start Page
4614
End Page
4626
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CrossRef : 2
Scopus : 13
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