Characterizations for Vectorial Prequasi–invex Type Functions via Jensen Type Inequalities
نویسندگان
چکیده
The purpose of this paper is to derive some criteria for vectorial prequasi-invex type functions via Jensen type inequalities. It is shown that a Jensen type inequality is sufficient and necessary for a vector function to be prequasi-invex under the condition of lower levelclosedness, cone lower semicontinuity, cone upper semicontinuity and semistrict prequasi-invexity, respectively. Analogous results are established for vectorial semistrictly prequasi-invex functions and vectorial strictly prequasi-invex functions.
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