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摘要
In this paper we construct two retracts in a cone by nonnegative functionals of convex and concave types, and an example is given to illustrate that the retracts are nonconvex. Then the nonconvex retracts are used to compute the fixed point index for the completely continuous operator in the domains D-1 boolean AND D-2 and D-1 boolean OR D-2, where D-1 and D-2 are bounded open sets in the cone. The computation for fixed point index can be applied to the existence and the more precise location of positive fixed points.
- 出版日期2014-6
- 单位东北大学
