Volume 8, Number 3, December 2007, pp. 391-396
		Yu-Qing Chen and Yeol Je Cho
				Key words:
	Quasi-monotone and strictly quasi-monotone mappings, variational inequality
		Mathematices Subject Classification: Primary 49J40, 47H05

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	Abstract:
	Let E be a real reflexive Banach space. A mapping T: D ⊆ E → 2E* is said to be strictly quasi-monotone if (g, x -y)>0 for some g ∈ T y implies that (f, x -y)>0 for f ∈ T x, where x, y ∈ D. In this paper, we first study variational inequality problems for strictly quasi-monotone operators, then we obtain a surjective result for strictly quasi-monotone operator equation.

On strictly quasi-monotone operators and variational inequalities

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