Displaying similar documents to “Iterative convergence of resolvents of maximal monotone operators perturbed by the duality map in Banach space.”

Pseudomonotonicity and nonlinear hyperbolic equations

Dimitrios A. Kandilakis (1997)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we consider a nonlinear hyperbolic boundary value problem. We show that this problem admits weak solutions by using a lifting result for pseudomonotone operators and a surjectivity result concerning coercive and monotone operators.

A Recession Notion for a Class of Monotone Bivariate Functions

Moudafi, A. (2000)

Serdica Mathematical Journal

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Using monotone bifunctions, we introduce a recession concept for general equilibrium problems relying on a variational convergence notion. The interesting purpose is to extend some results of P. L. Lions on variational problems. In the process we generalize some results by H. Brezis and H. Attouch relative to the convergence of the resolvents associated with maximal monotone operators.