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Optimality for nonlinear programs containing \(n\)-set functions. (English) Zbl 0860.90112

Summary: Under the generalized \(({\mathfrak I},\rho,\theta)\)-convexity assumptions, we establish sufficient optimality conditions for nonlinear programs with vector-valued \(n\)-set functions on the inequality and equality constraints.

MSC:

90C30 Nonlinear programming
Full Text: DOI

References:

[1] Begis D., Appl. Math. Optim. 2 pp 130– (1975) · Zbl 0323.90063 · doi:10.1007/BF01447854
[2] Cea J., Calcolo 10 pp 133– (1973) · Zbl 0298.65049 · doi:10.1007/BF02575509
[3] Chou J. H., J. Math. Anal. Appl. 105 pp 383– (1985) · Zbl 0564.90069 · doi:10.1016/0022-247X(85)90055-1
[4] Chou J. H., J. Math. Anal. Appl. 118 pp 247– (1986) · Zbl 0599.49014 · doi:10.1016/0022-247X(86)90306-9
[5] Corley H. W., J. Math. Anal. Appl. 127 pp 193– (1987) · Zbl 0715.90096 · doi:10.1016/0022-247X(87)90151-X
[6] Dantzig G., Annals Math. Stat. 22 pp 87– (1972) · Zbl 0042.14301 · doi:10.1214/aoms/1177729695
[7] Jo C. L., Optimization 29 pp 45– (1994) · Zbl 0819.90084 · doi:10.1080/02331939408843935
[8] Lin L. J., J. Math. Anal. Appl. 149 pp 255– (1990) · Zbl 0714.49008 · doi:10.1016/0022-247X(90)90299-U
[9] Lin L. J., J. Math. Anal. Appl 161 pp 367– (1991) · Zbl 0762.90066 · doi:10.1016/0022-247X(91)90337-Y
[10] Morris R. J. T., J. Math. Anal. Appl. 70 pp 546– (1979) · Zbl 0417.49032 · doi:10.1016/0022-247X(79)90064-7
[11] Preda V., Optimization 22 pp 527– (1991) · Zbl 0738.90064 · doi:10.1080/02331939108843695
[12] Wang P. K. C., Lecture Notes in Control and Information Sciences 2, in: On a class of optimization problems involving domain variations (1977) · Zbl 0372.93028
[13] Zalmai G. J., Optimization 22 pp 221– (1991) · Zbl 0734.90077 · doi:10.1080/02331939108843661
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