A Novel Filled Function Method for Nonlinear Equations

Table 1

Parameter	Description
𝑘	The number of iterations in finding the 𝑘th local minimizer
𝑥0	The initial point which satisfies 𝑥0∈𝑋
𝑥^∗𝑘	The 𝑘th local minimizer which we take as a solution or an approximate solution to (SNE)
𝑓(𝑥^∗𝑘)	The function value of 𝑓(𝑥) in finding the 𝑘th local minimizer
𝐹(𝑥^∗𝑘)	The function value of 𝐹(𝑥) in finding the 𝑘th local minimizer