Characterizations of pseudoconvex functions and semistrictly quasiconvex ones
نویسنده
چکیده
In this paper we provide some new necessary and sufficient conditions for pseudoconvexity and semistrict quasiconvexity of a given proper extended real-valued function in terms of the Clarke-Rockafellar subdifferential. Further we extend to programs with pseudoconvex objective function two earlier characterizations of the solutions set of a set constrained nonlinear programming problem due to O.L. Mangasarian [Oper. Res. Lett. 7 (1988) 21–26]. A positive function p appears in the most results. It is replaced by the number 1 if the function is convex and its domain of definition is convex, too.
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ورودعنوان ژورنال:
- J. Global Optimization
دوره 57 شماره
صفحات -
تاریخ انتشار 2013