27 research outputs found
On the connection between the existence of zeros and the asymptotic behavior of resolvents of maximal monotone operators in reflexive Banach spaces
No full textAn invariance of domain result for multi-valued maximal monotone operators whose domains do not necessarily contain any open sets
No full textDEGREE THEORETIC SOLVABILITY OF INCLUSIONS INVOLVING PERTURBATIONS OF NONLINEAR M-ACCRETIVE OPERATORS IN BANACH SPACES
No full textA compact evolution operator generated by a nonlinear time-dependent m-accretive operator in a Banach space.
No full textOn the maintenance of oscillations of nth order equations under the effect of a small forcing term
Get PDFNew results in the perturbation theory of maximal monotone and -accretive operators in Banach spaces
No full textSets in the ranges of nonlinear accretive operators in Banach spaces
No full textLet X be a real Banach space and G ⊂ X open and bounded. Assume that one of the following conditions is satisfied:
(i) X* is uniformly convex and T:Ḡ→ X is demicontinuous and accretive;
(ii) T:Ḡ→ X is continuous and accretive;
(iii) T:X ⊃ D(T)→ X is m-accretive and Ḡ ⊂ D(T).
Assume, further, that M ⊂ X is pathwise connected and such that M ∩ TG ≠ ∅ and . Then . If, moreover, Case (i) or (ii) holds and T is of type , or Case (iii) holds and T is of type , then M ⊂ TG. Various results of Morales, Reich and Torrejón, and the author are improved and/or extended
