This international journal is entirely devoted to the mathematical applications of minimax results, methods and techniques (understood in the broadest and inclusive sense) to topics from optimization theory, calculus of variations, mathematical programming, game theory, control theory, convex analysis, functional analysis, nonlinear analysis, non-smooth analysis, set-valued analysis and variational analysis. Accordingly, the journal encourages submission of papers dealing with new applications of possibly classical minimax results rather than with new abstract minimax results of uncertain applicability. In particular, the scope of the journal includes (but is by no means limited to): minimax equalities; minimax inequalities; variational and quasi-variational inequalities; duality theories; critical points; minimax control problems; Hamilton-Jacobi equations. Numerical aspects related to minimax theory will also be considered. All submitted papers are thoroughly peer-reviewed before publication.