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A conjecture on fixed-point indices of mappings in cones

✍ Scribed by Dongsheng Li; Yinnian He

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
398 KB
Volume
17
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper, we will study a conjecture on fixed-point indices of mappings in cones proposed by Dancer. Adding the assumptions that the cone has nonempty interior and one of the generalized eigenspaces of the operator, whose corresponding eigenvalue is greater than 1, intersects the interior of the cone, we shall prove the conjecture.

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