Abstract
A map F ( · ) defined on a nonempty and convex D ⊂ R n , which remains pseudomonotone when disturbed by vectors in R n 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 a s-quasimonotone map is introduced. We then present the relationship between the stability index of a s-quasimonotone map on D and its stability radius on line segments contained in D . The closedness of the set of vectors a in R n such that F ( x ) + a is quasimonotone is proved. Additionally, the stability radius of excess demand functions is also given.
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