A parallel subgradient projection algorithm for quasiconvex equilibrium problems under the intersection of convex sets. (9th December 2022)

• Record Type: Journal Article
• Authors: Yen, Le Hai; Muu, Le Dung
• Is Part Of: Optimization. Volume 71:Number 15(2022)
• Page Start: 4447
• Page End: 4462
• Publication Date: 2022-12-09
• Subjects: Equilibria -- quasiconvexity -- intersection -- subgradient method -- projection method; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2021.1946057
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : In this paper, we studied the equilibrium problem where the bi-function may be quasiconvex with respect to the second variable and the feasible set is the intersection of a finite number of convex sets. We propose a projection algorithm, where the projection can be computed independently onto each component set. The convergence of the algorithm is investigated and numerical examples for a variational inequality problem involving affine fractional operator are provided to demonstrate the behaviour of the algorithm.