Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 1997-11-29 Number: 97-121/4 Author-Name: J.B.G. Frenk Author-Email: frenk@few.eur.nl Author-Workplace-Name: Erasmus University Rotterdam Author-Name: G. Kassay Author-Workplace-Name: Babes-Bolyai University Cluj, Romania Title: On Classes of Generalized Convex Functions, Farkas-Type Theorems and Lagrangian Duality Abstract: In this paper we introduce several classes of generalized convexfunctions already discussed in the literature and show the relationbetween those function classes. Moreover, for some of those functionclasses a Farkas-type theorem is proved. As such this paper unifiesand extends results existing in the literature and shows how these resultscan be used to verify Farkas-type theorems and strong Lagrangian dualityresults in finite dimensional optimization. Keywords: Generalized convexity; Farkas-type theorems; Lagrangian duality File-Url: https://papers.tinbergen.nl/97121.pdf File-Format: application/pdf File-Size: 232955 bytes Handle: RePEc:tin:wpaper:19970121