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Densely relaxed pseudomonotone and quasimonotone generalized variational-like inequalities

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In this paper, we define the generalized densely relaxed pseudomonotonicity and relaxed quasimonotonicity, and establish the existence of solutions for generalized variational-like inequalities with the above monotonicity notions. The results… Click to show full abstract

In this paper, we define the generalized densely relaxed pseudomonotonicity and relaxed quasimonotonicity, and establish the existence of solutions for generalized variational-like inequalities with the above monotonicity notions. The results obtained in this paper improve and generalize many existing results in literature. Furthermore, we give an alternative to some wrong results obtained in literature related to the problem studied in this paper.

Keywords: like inequalities; generalized variational; variational like; pseudomonotone quasimonotone; densely relaxed; relaxed pseudomonotone

Journal Title: Optimization
Year Published: 2020

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