摘要
Yang et al gave some criteria of prequasi-invex functions, semistrictly prequasi-invex functions and strictly prequasi-invex functions in 2001, under a certain set of conditions. In this note, some of these conditions can be weakened to get the same results, and another simplified proof for a criterion of prequasi-invex functions established under the condition of lower semicontinuity is given. MR Subject Classification 90C30 Keywords prequasi-invex function - semistrictly prequasi-invex function - strictly prequasi-invex function - criteria Supported by the Zhejiang Province Natural Science Foundation (602095).
Yang et al gave some criteria of prequasi-invex functions, semistrictly prequasi-invex functions and strictly prequasi-invex functions in 2001, under a certain set of conditions. In this note, some of these conditions can be weakened to get the same results, and another simplified proof for a criterion of prequasi-invex functions established under the condition of lower semicontinuity is given. MR Subject Classification 90C30 Keywords prequasi-invex function - semistrictly prequasi-invex function - strictly prequasi-invex function - criteria Supported by the Zhejiang Province Natural Science Foundation (602095).
基金
Supported by the Zhejiang Province Natural Science Foundation( 60 2 0 95 )
