2006Computational Mathematics and Mathematical PhysicsRequires access

Descent method for nonsmooth variational inequalities

I. V. Konnov

Open publisher page 6 citations

Abstract

A descent method with a gap function is proposed for a finite-dimensional variational inequality with nonintegrable and nonsmooth mapping. The convergence of the method with line search is established under strong monotonicity conditions on the underlying mapping.

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What this paper is about

A descent method with a gap function is proposed for a finite-dimensional variational inequality with nonintegrable and nonsmooth mapping. The convergence of the method with line search is established under strong monotonicity conditions on the underlying mapping.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A descent method with a gap function is proposed for a finite-dimensional variational inequality with nonintegrable and nonsmooth mapping. The convergence of the method with line search is established under strong monotonicity conditions on the underlying mapping.

Key concepts: Variational inequality, Descent (aeronautics), Mathematics, Monotonic function, Convergence (economics), Descent direction, Line search, Applied mathematics

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