A system of inequalities and nondifferentiable mathematical programming

A system of inequalities involving nondifferentiable functions, originally introduced by Eisenberg, is extended. This result is then applied to establish optimality criteria and a dual theorem for a nondifferentiable mathematical program involving quasiconvexity in its equality constraints and inequality constraints. These are natural extensions of results recently established by Mond.The author is grateful to Dr. D. J. Fleming, St. Lawrence University, for helpful discussion.