Farkas type theorems for generalized convexities

Tibor Illés, Kassay G

Research output: Contribution to journalArticlepeer-review


We prove Farkas’ theorems for König convex functions (inequality constraints) and Ky Fan convex-linear functions (inequality and equality constraints). Necessary optimality conditions for König/Ky Fan convex programming problems are given. Our results contain, in particular some results of Hayashi-Komiya, Simons and Zalinescu. Based on our statements and counterexamples we discuss the connections between different kinds of generalized convexities.
Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalReports of the Faculty of Technical Mathematics and Informatics
Issue number23
Publication statusPublished - 1 Jan 1994


  • Farkas type theorems
  • convexities


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