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Co-coercivity and its role in the convergence of iterative schemes for solving variational inequalities. (English) Zbl 0855.47043
Summary: This paper stresses the role of co-coercivity and related notions in the convergence of iterative schemes for solving monotone but not necessarily strongly or even strictly monotone variational inequalities. The analysis will be conducted within the conceptual framework of the “auxiliary problem principle”.

MSC:
47J20Inequalities involving nonlinear operators
47H05Monotone operators (with respect to duality) and generalizations
47J25Iterative procedures (nonlinear operator equations)
49J40Variational methods including variational inequalities
49M27Decomposition methods in calculus of variations
90C25Convex programming