Strongly quasibounded maximal monotone perturbations for the Berkovits–Mustonen topological degree theory
| Autor: | Dhruba R. Adhikari, Athanassios G. Kartsatos |
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| Rok vydání: | 2008 |
| Předmět: |
Discrete mathematics
Applied Mathematics Berkovits–Mustonen degree theory Banach space Perturbation (astronomy) Monotonic function Topological degree theory Browder degree theory Strongly monotone Bounded operator Combinatorics Maximal monotone operator Monotone polygon Bounded function Bounded demicontinuous operator of type (S+) Analysis Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 348(1):122-136 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2008.07.009 |
| Popis: | Let X be a real reflexive Banach space with dual X ∗ . Let L : X ⊃ D ( L ) → X ∗ be densely defined, linear and maximal monotone. Let T : X ⊃ D ( T ) → 2 X ∗ , with 0 ∈ D ( T ) and 0 ∈ T ( 0 ) , be strongly quasibounded and maximal monotone, and C : X ⊃ D ( C ) → X ∗ bounded, demicontinuous and of type ( S + ) w.r.t. D ( L ) . A new topological degree theory has been developed for the sum L + T + C . This degree theory is an extension of the Berkovits–Mustonen theory (for T = 0 ) and an improvement of the work of Addou and Mermri (for T : X → 2 X ∗ bounded). Unbounded maximal monotone operators with 0 ∈ D ˚ ( T ) are strongly quasibounded and may be used with the new degree theory. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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