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A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets
Authors:Su MENG-LONG LU XIAN-RUI MA YONG
Affiliation:1.College of Mathematics;Luoyang Normal University;Luoyang;Henan;471000;2.College of Mathematics;Jilin University;Changchun;130012
Abstract:In this paper, an unbounded condition is presented, under which we are able to utilize the interior point homotopy method to solve the Brouwer fixed point problem on unbounded sets. Two numerical examples in R3 are presented to illustrate the results in this paper.
Keywords:unbounded condition  interior point homotopy method  Brouwer fixed point problem
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