First Order Characterizations of Pseudoconvex Functions

نویسندگان

  • Vsevolod Ivanov Ivanov
  • A. L. Dontchev
چکیده

First order characterizations of pseudoconvex functions are investigated in terms of generalized directional derivatives. A connection with the invexity is analysed. Well-known first order characterizations of the solution sets of pseudolinear programs are generalized to the case of pseudoconvex programs. The concepts of pseudoconvexity and invexity do not depend on a single definition of the generalized directional derivative.

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تاریخ انتشار 2009