In this paper, we study the relationships between the Stampacchia and Minty vector variational inequalities and vector continuous-time programming problems under generalized invexity and monotonicity hypotheses. We extend the results given by other authors for the scalar case to vectorial one,...

Jeyakumar (Methods Oper. Res. 55:109–125, <CitationRef CitationID="CR12">1985</CitationRef>) and Weir and Mond (J. Math. Anal. Appl. 136:29–38, <CitationRef CitationID="CR34">1988</CitationRef>) introduced the concept of preinvex function. The preinvex functions have some interesting properties. For example, every local minimum of a preinvex function is a global minimum and...</citationref></citationref>

The properties of minimum <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$K_{\phi }$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <msub> <mi>K</mi> <mi mathvariant="italic">ϕ</mi> </msub> </math> </EquationSource> </InlineEquation>-divergence estimators for parametric multinomial populations are well-known when the assumed parametric model is true, namely, they are consistent and asymptotically normally distributed. Here we study these properties when the parametric...</equationsource></equationsource></inlineequation>