On the degree theory for mappings of monotone type and applications
β Scribed by Juha Berkovits
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 355 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
In this paper, E is a real Banach space, A : E\*\* = E\*\* Βͺ E\* is a semi-monotone operator. We first study the variational inequality problem: Find u g K, such Ε½ Ε½ . . that A u, u , Β¨y u G 0, where K ; E\*\* is a closed convex subset; then the Ε½ . operator equation A u, u s p\*, and we also constr
We show that in a large class of continuous operators on Jordan domains the 0-epi maps are precisely those maps with nonzero degree. The class contains in particular perturbations of the identity by countably 1/2-condensing operators. This implies that the example of Z.