On the Solvability of Inclusions with Multivalued Compact Perturbations of Bi-Mappings
Sign Up to like & getrecommendations! Published in 2019 at "Set-Valued and Variational Analysis"
DOI: 10.1007/s11228-017-0431-x
Abstract: AbstractThis paper is about the solvability of the inclusion A(u,u)+F(u)∋L,$$A(u,u) + F(u) \ni L , $$ where X is a reflexive Banach space, L ∈ X∗, A is maximal monotone in one argument and continuous… read more here.
Keywords: multivalued compact; compact perturbations; solvability inclusions; inclusions multivalued ... See more keywords
Solvability of inclusions of Hammerstein type
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.01.049
Abstract: Abstract We establish a universal rule for solving operator inclusions of Hammerstein type in Lebesgue–Bochner spaces with the aid of some recently proven continuation theorem of Leray–Schauder type for the class of so-called admissible multimaps.… read more here.
Keywords: inclusions hammerstein; inclusion; solvability inclusions; hammerstein type ... See more keywords