journal-of-information-and-optimization-sciences Journal of Information and Optimization Sciences 2169-0103 0252-2667 Taru Publications 10.47974/JIOS-1933 Notes and remarks on convex and generalized convex functions in optimization problems Giorgi Giorgio Department of Economics and Management, Via S. Felice, 5, University of Pavia, PAVIA, 27100, Italy 46 7 2139 2162 11 09 2025

In the second section we make some remarks on the use of generalized convexity in Kuhn-Tucker optimality conditions for a mathematical programming problem. In the third section we give a simple proof of a result of Mangasarian [60] on the characterization of solution sets of convex programming problems. In the fourth section we make some “critical” comments on invex functions and their use in mathematical programming theory.

 Generalized convexity Optimality conditions Solution sets Invex functions access open retracted no