Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/476

 Title: First Order Characterizations of Pseudoconvex Functions Authors: Ivanov, Vsevolod Keywords: Generalized ConvexityNonsmooth FunctionGeneralized Directional DerivativePseudoconvex FunctionQuasiconvex FunctionInvex FunctionNonsmooth OptimizationSolution SetsPseudomonotone Generalized Directional Derivative Issue Date: 2001 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 27, No 3, (2001), 203p-218p Abstract: 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. URI: http://hdl.handle.net/10525/476 ISSN: 1310-6600 Appears in Collections: Volume 27 Number 3

Files in This Item:

File Description SizeFormat