马蹄形非凸区域上计算Brouwer不动点

The Combined Homotopy Method of Calculating the Brouwer Fixed Point in the Horseshoe Zone

给出了马蹄形非凸区域上计算Brouwer不动点计算方法 ,以及马蹄形非凸区域上拟法锥的构造方法 ,证明了拟法锥条件成立 ;建立了组合同伦方程 ,证明了同伦方程是收敛的 。

For solving the fixed point Brouwer problem in the non convex horseshoe zone, a constructing method of positive irrelative mapping is given. It is shown that the quasi normal cone condition holds, and an equation of combined homotopy is established. Form which the convergency of the homotopy equation is proved, and it converges to the Brouwer fixed point.