Eigenvalue for Densely Defined (S+)L Perturbations of Multivalued Maximal Monotone Operators in Reflexive Banach Spaces
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-03
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
Let X be a real reflexive Banach space and let X∗ be its dual.
Let Ω⊂X be open and bounded such that 0∈Ω.
Let T:X⊃D(T)→2X∗ be maximal monotone with 0∈D(T) and 0∈T(0).
Using the topological degree theory developed by Kartsatos and Quarcoo we study the eigenvalue problem Tx+λPx∋0, where the operator P:X⊃D(P)→X∗ is a single-valued of class (S+)L.
The existence of continuous branches of eigenvectors of infinite length then could be easily extended to the case where the operator P:X→2X∗ is multivalued and is investigated.
American Psychological Association (APA)
Ibrahimou, Boubakari. 2013. Eigenvalue for Densely Defined (S+)L Perturbations of Multivalued Maximal Monotone Operators in Reflexive Banach Spaces. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-461590
Modern Language Association (MLA)
Ibrahimou, Boubakari. Eigenvalue for Densely Defined (S+)L Perturbations of Multivalued Maximal Monotone Operators in Reflexive Banach Spaces. Journal of Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-461590
American Medical Association (AMA)
Ibrahimou, Boubakari. Eigenvalue for Densely Defined (S+)L Perturbations of Multivalued Maximal Monotone Operators in Reflexive Banach Spaces. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-461590
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461590