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Theorems of the Alternative and Optimality Conditions for Convexlike and General Convexlike Programming
Authors:Illés  T  Kassay  G
Institution:(1) Department of Operations Research, Eötvös Loránd University, Budapest, Hungary;(2) Department of Analysis and Optimization, Babescedil-Bolyai University, Cluj, Romania
Abstract:A general alternative theorem for convexlike functions is given. This permits the establishment of optimality conditions for convexlike programming problems in which both inequality and equality constraints are considered. It is shown that the main results of the paper contain, in particular, those of Craven, Giannessi, Jeyakumar, Hayashi, and Komiya, Simons, Zabrevelinescu, and a recent result of Tamminen.
Keywords:Convexlike functions  alternative theorems of Farkas type  duality theory  constrained optimization problems
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