메뉴 건너뛰기




Volumn 104, Issue 2, 2000, Pages 395-408

Duality for equilibrium problems under generalized monotonicity

Author keywords

Duality schemes; Equilibrium problems; Generalized convexity; Generalized monotonicity

Indexed keywords

ABSTRACT EQUILIBRIUM; DUAL-SETTING; DUALITY SCHEME; EQUILIBRIUM PROBLEM; EXISTENCE RESULTS; GENERALIZED CONVEXITY; GENERALIZED MONOTONICITY; OPTIMIZATION PROBLEMS; PRIMAL-DUAL; VARIATIONAL INEQUALITY PROBLEMS;

EID: 0034348910     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1004665830923     Document Type: Article
Times cited : (70)

References (22)
  • 1
    • 0002116806 scopus 로고
    • Two methods of search for equilibrium points of n-person concave games
    • 1. ZUKHOVITSKII, S. I., POLYAK, R. A., and PRIMAK, M. E., Two Methods of Search for Equilibrium Points of n-Person Concave Games, Soviet Mathematical Doklady, Vol. 10, pp. 279-282, 1969.
    • (1969) Soviet Mathematical Doklady , vol.10 , pp. 279-282
    • Zukhovitskii, S.I.1    Polyak, R.A.2    Primak, M.E.3
  • 2
    • 0001667407 scopus 로고
    • A minimax inequality and applications
    • Edited by O. Shisha, Academic Press, New York, NY
    • 2. FAN, K., A Minimax Inequality and Applications, Inequalities III, Edited by O. Shisha, Academic Press, New York, NY, pp. 103-113, 1972.
    • (1972) Inequalities , vol.3 , pp. 103-113
    • Fan, K.1
  • 7
    • 0000034358 scopus 로고
    • From optimization and variational inequalities to equilibrium problems
    • 7. BLUM, E., and OETTLI, W., From Optimization and Variational Inequalities to Equilibrium Problems, Mathematics Student, Vol. 63, pp. 123-145, 1994.
    • (1994) Mathematics Student , vol.63 , pp. 123-145
    • Blum, E.1    Oettli, W.2
  • 8
    • 0002626282 scopus 로고
    • On convergence of proximal methods to fixed points of extremal mappings and estimates of their rate of convergence
    • 8. ANTIPIN, A. S., On Convergence of Proximal Methods to Fixed Points of Extremal Mappings and Estimates of Their Rate of Convergence, Computational Mathematics and Mathematical Physics, Vol. 35, pp. 539-551, 1995.
    • (1995) Computational Mathematics and Mathematical Physics , vol.35 , pp. 539-551
    • Antipin, A.S.1
  • 9
    • 0002504482 scopus 로고    scopus 로고
    • A general approach to finding stationary points and the solution of related problems
    • 9. KONNOV, I. V., A General Approach to Finding Stationary Points and the Solution of Related Problems, Computational Mathematics and Mathematical Physics, Vol. 36, pp. 585-593, 1996.
    • (1996) Computational Mathematics and Mathematical Physics , vol.36 , pp. 585-593
    • Konnov, I.V.1
  • 11
    • 0000756716 scopus 로고
    • Generalized monotonicity: Concepts and uses
    • Edited by F. Giannessi and A. Maugeri, Plenum Publishing Corporation, New York, NY
    • 11. SCHAIBLE, S., Generalized Monotonicity: Concepts and Uses, Variational Inequalities and Network Equilibrium Problems, Edited by F. Giannessi and A. Maugeri, Plenum Publishing Corporation, New York, NY, pp. 289-299, 1995.
    • (1995) Variational Inequalities and Network Equilibrium Problems , pp. 289-299
    • Schaible, S.1
  • 12
    • 0001987274 scopus 로고    scopus 로고
    • Quasimonotonicity and pseudomonotonicity in variational inequalities and equilibrium problems
    • Edited by J. P. Crouzeix, J. E. Martinez-Legaz, and M. Volle, Kluwer Academic Publishers, Dordrecht, Boston, London
    • 12. HADJISAVVAS, N., and SCHAIBLE, S., Quasimonotonicity and Pseudomonotonicity in Variational Inequalities and Equilibrium Problems, Generalized Convexity, Generalized Monotonicity, Edited by J. P. Crouzeix, J. E. Martinez-Legaz, and M. Volle, Kluwer Academic Publishers, Dordrecht, Boston, London, pp. 257-275, 1998.
    • (1998) Generalized Convexity, Generalized Monotonicity , pp. 257-275
    • Hadjisavvas, N.1    Schaible, S.2
  • 14
    • 0003086532 scopus 로고
    • Implicit variational problems and quasivariational inequalities
    • Springer Verlag, Berlin, Germany
    • 14. Mosco, U., Implicit Variational Problems and Quasivariational Inequalities, Lecture Notes in Mathematics, Springer Verlag, Berlin, Germany, Vol. 543, pp. 83-156, 1976.
    • (1976) Lecture Notes in Mathematics , vol.543 , pp. 83-156
    • Mosco, U.1
  • 15
    • 0001906696 scopus 로고
    • Variational principles for equilibrium problems
    • Edited by J. Guddat, H. T. Jongen, B. Kummer, and F. Nožička, Peter Lang, Frankfurt am Main, Germany
    • 15. BLUM, E., and OETTLI, W., Variational Principles for Equilibrium Problems, Parametric Optimization and Related Topics III, Edited by J. Guddat, H. T. Jongen, B. Kummer, and F. Nožička, Peter Lang, Frankfurt am Main, Germany, pp. 79-88, 1993.
    • (1993) Parametric Optimization and Related Topics , vol.3 , pp. 79-88
    • Blum, E.1    Oettli, W.2
  • 17
    • 0031519164 scopus 로고    scopus 로고
    • Simultaneous Vector variational inequalities and Vector implicit complementarity problems
    • 17. FU, J., Simultaneous Vector Variational Inequalities and Vector Implicit Complementarity Problems, Journal of Optimization Theory and Applications, Vol. 93, pp. 141-151, 1997.
    • (1997) Journal of Optimization Theory and Applications , vol.93 , pp. 141-151
    • Fu, J.1
  • 18
    • 0001610659 scopus 로고    scopus 로고
    • A remark on Vector-valued equilibria and generalized monotonicity
    • 18. OETTLI, W., A Remark on Vector-Valued Equilibria and Generalized Monotonicity, Acta Mathematica Vietnamica, Vol. 22, pp. 213-221, 1997.
    • (1997) Acta Mathematica Vietnamica , vol.22 , pp. 213-221
    • Oettli, W.1
  • 19
  • 20
    • 33646842320 scopus 로고
    • A generalization of Tychonoff's fixed-point theorem
    • 20. FAN, K., A Generalization of Tychonoff's Fixed-Point Theorem, Mathematische Annalen, Vol. 142, pp. 305-310, 1961.
    • (1961) Mathematische Annalen , vol.142 , pp. 305-310
    • Fan, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.