Vol. 77, No. 2, 1978

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Surjectivity results for ϕ-accretive set-valued mappings

David Downing

Vol. 77 (1978), No. 2, 381–388
Abstract

Let X and Y be Banach spaces. A mapping f : X 2Y is said to be locally strongly ϕ-accretive if for each y0 Y and r > 0 there exists a constant c > 0 such that if z f(X) Br(y0) and x f1(z), then for all u sufficiently near x and w f(u) : (ϕ(xu),(w z)) cxu2, where ϕ : X Y is a suitably restricted mapping. A number of surjectivity results are obtained for this class of mappings, along with some other basic results.

Mathematical Subject Classification 2000
Primary: 47H06
Milestones
Received: 29 November 1977
Revised: 3 March 1978
Published: 1 August 1978
Authors
David Downing