@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},
	}