Mixed linear complementarity problem

The Mixed Linear Complementarity Problem (MLCP) is a mathematical problem that seeks to find a solution to a system of inequalities and equalities, often arising in various fields such as optimization, economics, engineering, and game theory. It combines elements of linear programming and complementarity conditions. To formally define the MLCP, consider the following components: 1. **Variables**: A vector \( x \in \mathbb{R}^n \).