Stability Radius of S-Quasimonotone Maps

• DOI: 10.1080/01630563.2024.2305345
• Publication Date: 2024-01-27T04:55:05Z
• Authors: V. T. T. Binh; P. T. An

A map F(·) defined on a nonempty and convex D⊂Rn, which remains pseudomonotone when disturbed by vectors in Rn with sufficiently small norm, is s-quasimonotone (P. T. An, Optimization, Vol. 55 (2006), pp. 289–299). In this paper, the stability radius of such introduced. We then present relationship between index D its line segments contained D. The closedness set that F(x)+a quasimonotone proved. Additionally, excess demand functions also given.