Densely relaxed pseudomonotone and quasimonotone generalized variational-like inequalities. (1st February 2021)

• Record Type: Journal Article
• Authors: Sahu, Bijaya K.; Nguyen, George; Pany, Gayatri; Chadli, Ouayl
• Is Part Of: Optimization. Volume 70:Number 2(2021)
• Page Start: 413
• Page End: 435
• Publication Date: 2021-02-01
• Subjects: Variational-like inequalities -- densely relaxed η−α pseudomonotonicity -- relaxed η−α properly quasimonotonicity -- relaxed η−α quasimonotonicity -- KKM mappings; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2020.1719101
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, we define the generalized densely relaxed η − α pseudomonotonicity and relaxed η − α 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.