Volume 25, Issue 2
A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets

Commun. Math. Res., 25 (2009), pp. 137-142.

Published online: 2021-06

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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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@Article{CMR-25-137, author = {Menglong and Su and and 18130 and and Menglong Su and Xianrui and Lü and and 18131 and and Xianrui Lü and Yong and Ma and and 18132 and and Yong Ma}, title = {A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {25}, number = {2}, pages = {137--142}, 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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19294.html} }
TY - JOUR T1 - A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets AU - Su , Menglong AU - Lü , Xianrui AU - Ma , Yong JO - Communications in Mathematical Research VL - 2 SP - 137 EP - 142 PY - 2021 DA - 2021/06 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19294.html KW - unbounded condition, interior point homotopy method, Brouwer fixed point problem. AB -

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.

MenglongSu, XianruiLü & YongMa. (2021). A Continuation Method for Solving Fixed Point Problems in Unbounded Convex Sets. Communications in Mathematical Research . 25 (2). 137-142. doi:
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