Pseudomonotone variational inequalities: convergence of proximal methods

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Some recent advances in projection-type methods for variational inequalities (2003, background): “Farouq [24] showed that under (A1), which is weaker than monotonicity assumption (A1′), the GPPA with )k ¿ 0 is globally convergent.”
Some developments in general variational inequalities (2004, methodology): “It is well known that a substantial number of numerical methods can be obtained as special cases from this technique, see [13,25,80,83, 87,98,103,112,150] and the references therein.”
Invex equilibrium problems (2005, methodology): “Our results are a significant and important extension of the results of Noor [19,40] and El Farouq [39] for the invex equilibrium problems which are considered in invexity setting.”