In this paper, we consider the monotone inclusion problem consisting of the sum of a
continuous monotone map and a point-to-set maximal monotone operator with a separable …

We propose a modification of the classical extragradient and proximal point algorithms for
finding a zero of a maximal monotone operator in a Hilbert space. At each iteration of the …

In this paper we analyze the iteration complexity of the hybrid proximal extragradient (HPE)
method for finding a zero of a maximal monotone operator recently proposed by Solodov …

We present a unified framework for the design and convergence analysis of a class of
algorithms based on approximate solution of proximal point subproblems. Our development …

In this paper, we consider both a variant of Tseng's modified forward-backward splitting
method and an extension of Korpelevich's method for solving hemivariational inequalities …

Although the central role of educational intermediaries that can connect research and
practice is increasingly appreciated, our present understanding of their motivations …

This work establishes new connections between maximal monotone operators and convex
functions. Associated to each maximal monotone operator, there is a family of convex …

In this article, we incorporate inertial terms in the hybrid proximal-extragradient algorithm
and investigate the convergence properties of the resulting iterative scheme designed to find …

We study various error measures for approximate solution of proximal point regularizations
of the variational inequality problem, and of the closely related problem of finding a zero of a …

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