Well-posedness for generalized mixed vector variational-like inequality problems in Banach space
Abstract
In this article, we focus to study about well-posedness of a generalized mixed vector variational-like inequality and optimization problems with aforesaid inequality as constraint. We establish the metric characterization of well-posedness in terms of approximate solution set.Thereafter, we prove the sufficient conditions of generalized well-posedness by assuming the boundedness of approximate solution set. We also prove that the well-posedness of considered optimization problems is closely related to that of generalized mixed vector variational-like inequality problems. Moreover, we present some examples to investigate the results established in this paper.
Keywords
Generalized mixed vector variational-like inequality problems, well-posedness, relaxed $\eta$-$\alpha$-$P$-monotonicity
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PDFISSN: 1331-0623 (Print), 1848-8013 (Online)