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A homotopy algorithm for computing the fixed point of self-mapping with inequality and equality constraints

A homotopy algorithm for computing the fixed point of self-mapping with inequality and equality constraints

In this paper, to compute the fixed point of self-mapping on general non-convex sets, a modified constraint shifting homotopy algorithm for perturbing simultaneously both equality constraints and inequality constraints is proposed and the global convergence of the smooth homotopy pathways is proven under some mild conditions.The advantage of the newly …