@article{(Open Science Index):https://publications.waset.org/pdf/11175, title = {A Constructive Proof of the General Brouwer Fixed Point Theorem and Related Computational Results in General Non-Convex sets}, author = {Menglong Su and Shaoyun Shi and Qing Xu}, country = {}, institution = {}, abstract = {In this paper, by introducing twice continuously differentiable mappings, we develop an interior path following following method, which enables us to give a constructive proof of the general Brouwer fixed point theorem and thus to solve fixed point problems in a class of non-convex sets. Under suitable conditions, a smooth path can be proven to exist. This can lead to an implementable globally convergent algorithm. Several numerical examples are given to illustrate the results of this paper. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {6}, number = {8}, year = {2012}, pages = {894 - 899}, ee = {https://publications.waset.org/pdf/11175}, url = {https://publications.waset.org/vol/68}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 68, 2012}, }