Constrained optimisation problems are familiar to first-year economics students from the use of indifference curves to solve consumer choice and cost minimisation problems. But the most commonly used ...

No algorithm for optimizing general nonlinear functions exists that will always find the global optimum for a general nonlinear minimization problem in a reasonable amount of time. Since no single ...

In this article, we derive second-order necessary conditions of optimality for an abstract optimization problem with equality and inequality constraints and constraints in the form of an inclusion ...

Equilibrium problems and variational inequalities form a crucial mathematical framework for modelling systems where multiple agents or factors interact under specific constraints. An equilibrium ...