| Autor: |
Kartsatos, Athanassios G., Skrypnik, Igor V. |
| Jazyk: |
angličtina |
| Rok vydání: |
2005 |
| Zdroj: |
Abstr. Appl. Anal. 2005, no. 2 (2005), 121-158 |
| Popis: |
Let $X$ be an infinite-dimensional real reflexive Banach space with dual space $X^*$ and $G\subset X$ open and bounded. Assume that $X$ and $X^*$ are locally uniformly convex. Let $T:X\supset D(T)\rightarrow 2^{X^*}$ be maximal monotone and $C:X\supset D(C)\rightarrow X^*$ quasibounded and of type $({\widetilde{S}}_{+})$ . Assume that $L\subset D(C)$ , where $L$ is a dense subspace of $X$ , and $0\in T(0)$ . A new topological degree theory is introduced for the sum $T+C$ . Browder's degree theory has thus been extended to densely defined perturbations of maximal monotone operators while results of Browder and Hess have been extended to various classes of single-valued densely defined generalized pseudomonotone perturbations $C$ . Although the main results are of theoretical nature, possible applications of the new degree theory are given for several other theoretical problems in nonlinear functional analysis. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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