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Zbl 0553.90086
Kaul, R.N.; Kaur, Surjeet
Optimality criteria in nonlinear programming involving nonconvex functions. (English)
[J] J. Math. Anal. Appl. 105, 104-112 (1985). ISSN 0022-247X

A new class of functions, called $\eta$-convex, $\eta$-quasiconvex and $\eta$-pseudoconvex, are defined and a number of sufficient optimality criteria are obtained for nonlinear programming problems involving these functions.

MSC 2000:: *90C30 Nonlinear programming
26B25 Convexity and generalizations (several real variables)
90C55 Methods of successive quadratic programming type
49K10 Free problems in several independent variables (nec./ suff.)

Keywords: generalized convex functions; sufficient optimality criteria

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