Noor, Muhammad Aslam; Noor, Khalida Inayat On equilibrium problems. (English) Zbl 1064.49009 Appl. Math. E-Notes 4, 125-132 (2004). Summary: Some iterative methods for solving equilibrium problems are suggested and analyzed by using the technique of the auxiliary principle. We have shown that the convergence of the proposed methods either requires only pseudomonotonicity, which is a weaker condition than monotonicity or partially relaxed strongly monotonicity. Our results represent an improvement and refinement of previously known results. Since the equilibrium problems include variational inequalities and complementarity problems as special cases, the results proved in this paper continue to hold for these problems. Cited in 12 Documents MSC: 49J40 Variational inequalities 47N10 Applications of operator theory in optimization, convex analysis, mathematical programming, economics 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) Keywords:variational inequalities; auxiliary principle technique; equilibrium problems PDFBibTeX XMLCite \textit{M. A. Noor} and \textit{K. I. Noor}, Appl. Math. E-Notes 4, 125--132 (2004; Zbl 1064.49009) Full Text: EuDML EMIS