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On characterizations of prequasi-invex functions. (English) Zbl 1100.90035
Summary: In [J. Optim. Theory Appl. 110, No. 3, 645–668 (2001; Zbl 1064.90038)] X. M. Yang, X. Q. Yang and K. L. Teo presented characterizations of prequasi-invex functions, semistrictly prequasi-invex functions, and strictly prequasi-invex functions, respectively, under a certain set of conditions. In this note, we show that the same results or even more general ones can be obtained under weaker assumptions.

90C26 Nonconvex programming, global optimization
Full Text: DOI
[1] Yang, X. M., Yang, X. Q., and Teo, K. L., Characterizations and Applications of Prequasi-Invex Functions, Journal of Optimization Theory and Applications, Vol. 110, No. 3, pp. 645-668, 2001. · Zbl 1064.90038 · doi:10.1023/A:1017544513305
[2] Mukherjee, R. M., and Reddy, L. V., Semicontinuity and Quasiconvex Functions, Journal of Optimization Theory and Applications, Vol. 94, No. 3, pp. 715-726, 1997. · Zbl 0892.90145 · doi:10.1023/A:1022609218907
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