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Solving fixed point problems in unbounded regions via a non-interior path following algorithm

Menglong Su, Li Zhang


In this paper, for solving fixed point problems in a broader class of unbounded non-convex sets, we propose a set of unboundedness conditions. Under suitable conditions, we obtain convergence results of the non-interior path following algorithm, which is globally convergent and select initial points more easily than the locally convergent algorithms.


fixed point problems, unbounded non-convex sets, globally convergent.

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