The Maximality of the Sum of Monotone Operators in Banach Space and an Application to Hemivariational Inequalities

Author: Taa A.

Source: Journal of Mathematical Analysis and Applications, Volume 204, Number 3, December 1996 , pp. 693-700(8)

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Abstract:

In this paper we give some conditions under which T +∂ f is maximal monotone in the Banach space X (not necessarily reflexive), where T is a monotone operator from X into X * and ∂ f is the subdifferential of a proper lower semicontinuous convex function f , from X into R∪ {+[infinity]}. We also give an application to hemivariational inequalities.

Language: English

Document Type: Research article

Affiliations: B.P. 618, Faculte des Sciences et Techniques, Marrakech, Morocco

Publication date: 1996-12-01