Local expansions and accretive mappings
نویسندگان
چکیده
منابع مشابه
On perturbations of accretive mappings
In this paper, we study the following operator equation: p ∈ Ax + Cx in a Banach space X , where A : D(A) ⊆ X → 2X is an accretive mapping, C : D(C) ⊆ X → X is a nonlinear mapping and p ∈ X . Various existence results of solutions of nonlinear operator equations in Banach spaces are obtained under a countably condensing type condition. © 2004 Elsevier Ltd. All rights reserved.
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In what follows, the symbol X stands for a real Banach space with norm ‖ · ‖ and (normalized) duality mapping J. Moreover, “continuous” means “strongly continuous” and the symbol “→” (“⇀”) means strong (weak) convergence. The symbol R (R+) stands for the set (−∞,∞) ([0,∞)) and the symbols ∂D, intD, D denote the strong boundary, interior and closure of the set D, respectively. An operator T : X ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1983
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s016117128300037x