Abstract
By constructing an example we show that the solution sets of a strongly monotone vector variational inequality and of its relaxed inequality can be different from each other. A sufficient condition for the coincidence of these solution sets is given for general vector variational inequalities; connectedness and path-connectedness of the solution sets for some kinds of monotone problems in Hilbert spaces are studied in detail.
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© 2000 Kluwer Academic Publishers
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Yen, N.D., Lee, G.M. (2000). On Monotone and Strongly Monotone Vector Variational Inequalities. In: Giannessi, F. (eds) Vector Variational Inequalities and Vector Equilibria. Nonconvex Optimization and Its Applications, vol 38. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0299-5_28
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DOI: https://doi.org/10.1007/978-1-4613-0299-5_28
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7985-0
Online ISBN: 978-1-4613-0299-5
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