“…Because of the crucial role of the nonlinear problems, the researchers provided different numerical methods to obtain the solutions of nonlinear PDEs, which are properly transformed into the nonlinear algebraic equations (NAEs) by using numerically discretized methods. As mentioned in [1][2][3][4], nonlinear optimization problem, nonlinear programming, nonlinear sloshing problem, and nonlinear complementarity problem (NCP) can be recast to the issues to solve NAEs, with the help of NCP-functions, for example, the Fischer-Burmeister NCP [5]. Indeed, the numerical solution of NAEs is one of the main problems in computational mathematics.…”