Nonconvex retracts and computation for fixed point index in cones
Keywords
Nonconvex retract, fixed point index, completely continuous operatorAbstract
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 $D_1\cap D_2$ and $D_1\cup D_2$, 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.Downloads
Published
2016-04-12
How to Cite
1.
ZHANG, Guowei and LI, Pengcheng. Nonconvex retracts and computation for fixed point index in cones. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 2, pp. 365 - 372. [Accessed 28 March 2024].
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