D-gap functions and descent methods for a class of monotone equilibrium problems

Lobachevskii Journal of Mathematics

Volumn 13, Issue , 2004, Pages 57-65

  Konnov, Igor V ^a   Pinyagina, Olga V ^a  

^a KAZAN FEDERAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4243123037     PISSN: 19950802     EISSN: 18189962     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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3. E. Blum and W. Oettli, From optimization and variational inequalities to equilibrium problems, The Mathem. Student 63 (1994), pp. 123-145.
4. I.V. Konnov and S. Schaible, Duality for equilibrium problems under generalized monotonicity, J. Optim. Theory Appl. 104 (2000), pp. 395-408.
5. O.Chadli, I.V.Konnov, and J.C.Yao, Descent method for equilibrium problems in a Banach space, Comp. and Mathem. Appl., to appear.
6. I.V.Konnov and O.V.Pinyagina, D-gap functions for a class of equilibrium problems in Banach spaces, Computational Methods in Applied Mathematics 3 (2003), No.2, pp. 274-286.
7. I.V.Konnov and O.V.Pinyagina, Descent method with respect to the gap function for nonsmooth equilibrium problems, Russ. Math.(Iz. VUZ), to appear.
8. I.V. Konnov and S. Kum, Descent methods for mixed variational inequalities in a Hilbert space, Nonlinear Analysis: Theory, Methods and Applications 47 (2001), pp. 561-572.
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10. I.V. Konnov, On a class of D-gap functions for mixed variational inequalities, Russ. Math.(Iz. VUZ) 43 (1999), No.12, pp. 60-64.
11. I.V. Konnov, Combined Relaxation Methods for Variational Inequalities, Springer-Verlag, Berlin, 2001.
12. T. Parthasarathy and T.E.S. Raghavan, Some Topics in Two-person Games, Elsevier, New York, 1977.
13. B.T. Polyak, Introduction to Optimization, Optimization Software, New York, 1987.