ON THE CONTINUOUS MINIMAX PROBLEM FOR CLASS QUADRATIC FUNCTIONS

23.06.2022 International Scientific Journal "Science and Innovation". Series A. Volume 1 Issue 3

S. Otakulov, N. Abdukhamidov

Abstract. In the paper we consider continuous minimax problem for class quadratic functions. In the nonsmooth optimization problem some properties of maximum function are studied. The conditions for existence and uniquely of solution are obtained. The necessary and sufficient conditions of optimality are researched.

Keywords: quadratic function, maximum function, nonsmooth function, minimax problem, conditions for existence, conditions of optimality.