A fixed point theorem for the sum of two nonlinear operators
In this article, we consider a map A-.M^ X and a multivalued, map B: M —• CB(X) where M is a closed convex subset of a Banach space X. We give sufficient conditions for the existence of a fixed point xo 6 M of the multivalued operator A + B satisfying Axo + Bxo = {so}- This result includes the well-...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2008
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| Sorozat: | Acta scientiarum mathematicarum
74 No. 3-4 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16277 |
| Tartalmi kivonat: | In this article, we consider a map A-.M^ X and a multivalued, map B: M —• CB(X) where M is a closed convex subset of a Banach space X. We give sufficient conditions for the existence of a fixed point xo 6 M of the multivalued operator A + B satisfying Axo + Bxo = {so}- This result includes the well-known Krasnoselskii's fixed point theorem for the sum of two nonlinear single valued operators. |
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| Terjedelem/Fizikai jellemzők: | 885-899 |
| ISSN: | 0001-6969 |