Document Type
Article
Publication Date
2005
Digital Object Identifier (DOI)
https://doi.org/10.1155/AAA.2005.121
Abstract
Let X be an infinite-dimensional real reflexive Banach space with dual space X∗ and G⊂X open and bounded. Assume that X and X∗ are locally uniformly convex. Let T:X⊃D(T)→2X∗ be maximal monotone and C:X⊃D(C)→X∗ quasibounded and of type (S˜+). Assume that L⊂D(C), where L is a dense subspace of X, and 0∈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.
Rights Information
This work is licensed under a Creative Commons Attribution 3.0 License.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Abstract and Applied Analysis, v. 2005, art. 743732
Scholar Commons Citation
Kartsatos, Athanassios G. and Skrypnik, Igor V., "A new topological degree theory for densely defined quasibounded (S˜+)-perturbations of multivalued maximal monotone operators in reflexive Banach spaces" (2005). Mathematics and Statistics Faculty Publications. 47.
https://digitalcommons.usf.edu/mth_facpub/47
