A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets

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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 R$^3$ are presented to illustrate the results in this paper.

Keywords:

unbounded condition interior point homotopy method Brouwer fixed point problem.
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A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets. (2021). Communications in Mathematical Research, 25(2), 137-142. https://global-sci.com/index.php/cmr/article/view/8607