A class of projection-contraction methods applied to monotone variational inequalities

DOI10.1016/S0893-9659(00)00096-3zbMath0988.47041OpenAlexW1992812189MaRDI QIDQ5931722

Ram U. Verma

Publication date: 25 April 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00096-3

zbMATH Keywords

variational inequalitymonotone operatorprojection methodapproximation of solution

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items (18)

Some recent advances in projection-type methods for variational inequalities ⋮ Generalized over-relaxed proximal algorithm based ona-maximal monotonicity framework and applications to inclusion problems ⋮ A parallel projection method for a system of nonlinear variational inequalities ⋮ A generalized nonlinear random equations with random fuzzy mappings in uniformly smooth Banach spaces ⋮ General over-relaxed proximal point algorithm involving \(A\)-maximal relaxed monotone mappings with applications ⋮ Partial relaxed monotonicity and general auxiliary problem principle with applications ⋮ \((A,\eta )\)-Accretive mappings and set-valued variational inclusions with relaxed cocoercive mappings in Banach spaces ⋮ Projection iterative approximations for a new class of general random implicit quasi-variational inequalities ⋮ The generalized relaxed proximal point algorithm involving A-maximal-relaxed accretive mappings with applications to Banach spaces ⋮ A new relaxed proximal point procedure and applications to nonlinear variational inclusions ⋮ A new class of iterative algorithms for approximation-solvability of nonlinear variational inequalities ⋮ Projection methods, algorithms, and a new system of nonlinear variational inequalities ⋮ General implicit variational inclusion problems based on \(A\)-maximal (\(m\))-relaxed monotonicity (AMRM) frameworks ⋮ Global fractional-order projective dynamical systems ⋮ Approximation solvability of nonlinear random \((A,\eta )\)-resolvent operator equations with random relaxed cocoercive operators ⋮ Role of twice Fréchet-differentiable mappings in general auxiliary problem principle ⋮ Self-adaptive implicit methods for monotone variant variational inequalities ⋮ General nonlinear random equations with random multivalued operator in Banach spaces

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