INEXACT VERSIONS OF PROXIMAL POINT AND AUGMENTED LAGRANGIAN ALGORITHMS IN BANACH SPACES

By Alfredo Noel Iusem, Rolando Gárciga Otero. 2001

70 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/d37c80c901a317d5719f3fe9a77db8f559fab380

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Citations in the corpus

• Fast and Simple Bregman Projection Methods for Solving Variational Inequalities and Related Problems in Banach Spaces (2020, methodology): “In what follows, we present some conditions on an auxiliary function, called f , which are important for the feasibility and convergence analysis of our algorithms (see also [21,31]): H1.”
• Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities (2019, background): “4 ([26,27]): Let H1 and H2 be two real Hilbert spaces.”
• Bregman Monotone Optimization Algorithms (2003, background): “In the context of Banach spaces, we introduced in [8] the following notion a Legendre function.”
• Inexact Proximal Point Methods for Equilibrium Problems in Banach Spaces (2007, methodology): “This inexact procedure, as well as a related one introduced in [33], were extended to Banach spaces in [15].”