Ferenc Forgó

In the first phase of his scientific career, Forgó's main interests were the theory, methods, and applications of nonlinear mathematical programming.

In 1972, he published an article in Acta Cybernetica on the solution of non-convex programming problems by the cutting plane method; his PhD thesis also dealt with this topic in 1974.

A series of conference presentations and journal publications preceded his book Nonconvex and Discrete Programming, published in 1978, which for many years was one of the fundamental works on the subject in Hungarian.

In the 1980s, Forgó applied game-theoretic and mathematical programming methods in a decision-theoretic framework to the solution of multi-objective decision problems, writing articles and papers on the subject in both English and Hungarian.

In a 1994 paper, Forgó used a generalized notion of convexity (CF-convexity) which enabled him to prove the existence of the Nash equilibrium point under conditions that are weaker than those previously used.

In 1999, Forgó and Joó published a paper in the Journal of Global Optimization which opened a new avenue in the area of generalization of Nash equilibria.