Iterative algorithms for equilibrium problems

Optimization

Volumn 52, Issue 3, 2003, Pages 301-316

  Iusem, Alfredo N ^a   Sosa, Wilfredo ^b  

^a IMPA   (Brazil)

^b PUCP   (Peru)

Author keywords

Convex feasibility problems; Equilibrium problems; Projection methods

Indexed keywords

EID: 0042730351     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/0233193031000120039     Document Type: Article

References (17)

1. G. Allen (1977). Variational inequalities, complementarity problems and duality theorems. Journal of Mathematical Analysis and Applications, 58, 1-10.
2. H.H. Bauschke and J.M. Borwein (1996). On projection algorithms for solving convex feasibility problems. SIAM Review, 38, 367-426.
3. C. Berge (1959). Espaces Topologiques et Fonctious Multivoques. Dunod, Paris.
4. M. Bianchi and S. Schaible (1996). Generalized monotone bifunctions and equilibrium problems. Journal of Optimization Theory and Applications, 90, 31-43.
5. E. Blum and W. Oettli (1994). From optimization and variational inequalities to equilibrium problems. The Mathematics Student, 63, 123-145.
6. H. Brezis, L. Nirenberg and G.A. Stampacchia (1972). Remark on Ky Fan's minimax principle. Bolletino della Unione Matematica Italiana, 6, 293-300.
7. R.S. Burachik, D. Butnariu and A.N. Iusem (2000). Iterative methods of solving stochastic convex feasibility problems and applications. Computational Optimization and Applications, 15, 269-307.
8. Y. Censor and A. Lent (1982). Cyclic subgradient projections. Mathematical Programming, 24, 233-235.
9. Y. Censor and S. Zenios, (1997). Parallel Optimization, Theory, Algorithms and Applications. Oxford University Press, Oxford.
10. A.N. Iusem and W. Sosa (2003). New existence results for equilibrium problems. Nonlinear Analysis, Theory Methods and Application, 52/2, 621-635.
11. S. Karamardian and S. Schaible (1990). Seven kinds of monotone maps. Journal of Optimization Theory and Applications, 66, 37-46.
12. K. Fan (1961). A generalization of Tychonoff 's fixed point theorem. Mathematische Annalen, 142 305-310.
13. K. Fan (1972). A minimax inequality and applications. In: O. Shisha (Ed.), Inequality III, pp. 103-113. Academic Press, New York.
14. L.G. Gubin, B.T. Polyak and E.V. Raik, (1967). The method of projections for finding the common point of convex sets, Computational Mathematics and Mathematical Physics, 7, 1-24.
15. A.N. Iusem and L. Moledo (1986). A finitely convergent method of simultaneous subgradient projections for the convex feasibility problem. Matemática Aplicada e Computational, 5, 169-184.
16. W. Oettli (1997). A remark on vector-valued equilibria and generalized monotonicity. Acta Mathematica Vietnamica, 22, 215-221.
17. C.-L. Yen (1981). A minimax inequality and its application to variational inequalities. Pacific Journal of Mathematics, 97, 477-481.