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A note on characterization of solution sets to pseudolinear programming problems. (English) Zbl 1274.90392

Summary: In this article we give some characterizations of the solution sets of a nonlinear programming problem involving Dini-pseudolinear functions. Moreover, a first-order characterization of Dini-pseudolinear functions is derived.

MSC:

90C30 Nonlinear programming
90C56 Derivative-free methods and methods using generalized derivatives
Full Text: DOI

References:

[1] Aggarwal S, Indian J. Pure Appl. Math. 20 pp 1173– (1989)
[2] DOI: 10.1016/0377-2217(91)90267-Y · Zbl 0741.90067 · doi:10.1016/0377-2217(91)90267-Y
[3] DOI: 10.1007/BF02192142 · Zbl 0840.90118 · doi:10.1007/BF02192142
[4] Mishra SK, Indian J. Pure Appl. Math. 26 pp 722– (1995)
[5] DOI: 10.1023/A:1022694427027 · Zbl 0901.90162 · doi:10.1023/A:1022694427027
[6] DOI: 10.1137/S0036144598335259 · Zbl 1053.90096 · doi:10.1137/S0036144598335259
[7] DOI: 10.1023/A:1004672604998 · Zbl 1039.49004 · doi:10.1023/A:1004672604998
[8] DOI: 10.1007/BF02612363 · Zbl 0534.90076 · doi:10.1007/BF02612363
[9] DOI: 10.1016/0377-2217(93)90069-Y · Zbl 0778.90064 · doi:10.1016/0377-2217(93)90069-Y
[10] DOI: 10.1016/0167-6377(91)90087-6 · Zbl 0719.90055 · doi:10.1016/0167-6377(91)90087-6
[11] DOI: 10.1016/0167-6377(88)90047-8 · Zbl 0653.90055 · doi:10.1016/0167-6377(88)90047-8
[12] Ivanov VI, Serdica Math. J. 29 pp 1– (2003)
[13] DOI: 10.1023/A:1023905907248 · Zbl 1043.90071 · doi:10.1023/A:1023905907248
[14] DOI: 10.1007/978-3-642-46802-5_20 · doi:10.1007/978-3-642-46802-5_20
[15] Diewert EE, Generalized Concavity in Optimization and Economics pp 51– (1981)
[16] Mangasarian OL, SIAM J. Contr. 3 pp 281– (1965)
[17] DOI: 10.1017/S0004972700001908 · Zbl 0547.49015 · doi:10.1017/S0004972700001908
[18] DOI: 10.1080/02331939108843678 · Zbl 0734.49005 · doi:10.1080/02331939108843678
[19] Śmietański MJ, Contr. Cybern. 32 pp 361– (2003)
[20] DOI: 10.1287/opre.15.5.882 · Zbl 0149.38006 · doi:10.1287/opre.15.5.882
[21] DOI: 10.1142/9789812812827_0012 · doi:10.1142/9789812812827_0012
[22] Giorgi G, Rivista di matematica per la scienze economie e sociali 15 pp 3– (1993)
[23] DOI: 10.1007/BF02098344 · Zbl 0884.90134 · doi:10.1007/BF02098344
[24] DOI: 10.1007/978-1-4613-3341-8_1 · doi:10.1007/978-1-4613-3341-8_1
[25] Elster KH, Nonsmooth Optimization and Related Topics pp 133– (1989) · doi:10.1007/978-1-4757-6019-4_9
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