On gap functions and duality of variational inequality problems

Journal of Mathematical Analysis and Applications

Volumn 214, Issue 2, 1997, Pages 658-673

  Chen, G Y ^a   Goh, C J ^b   Yang, X Q ^b  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); FUNCTIONS; OPTIMIZATION;

FENCHEL OPTIMIZATION PROBLEMS; GAP FUNCTIONS;

VARIATIONAL TECHNIQUES;

EID: 0031248768     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5608     Document Type: Article

References (10)

1. 1. A. Auslender, "Optimisation: Méthodes Numériques," Masson, Paris, 1976.
2. 2. V. Barbu, "Convexity and Optimization in Banach Spaces," Reidel, Dordrecht, 1986.
3. 3. M. Fukushima, Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems, Math. Programming 53 (1992), 99-110.
4. 4. D. W. Hearn, The gap function of a convex program, Oper. Res. Lett. 1 (1982), 67-71.
5. 5. U. Mosco, Dual variational inequalities, J. Math. Anal. Appl. 40 (1972), 202-206.
6. 6. A. Narguney, "Network Economics - A Variational Inequality Approach," Kluwer Academic, Dordrecht, 1993.
7. 7. R. T. Rockefellar, "Convex Analysis," Princeton University Press, 1970.
8. 8. G. Stampacchia, Formes bilinéaires coercitives sur les ensembles convexes, C. R. Acad. Sci. Paris 258 (1964), 4413-4416.
9. 9. X. Q. Yang, Vector variational inequality and its duality, Nonlinear Anal. 21 (1993), 869-877.
10. 10. D. L. Zhu and P. Marcotte, An extended descent framework for variational inequalities, J. Optim. Theory Appl. 80 (1994), 349-366.