Optimality and duality in fractional programming involving semilocally convex and related functions

Optimization

Volumn 41, Issue 3, 1997, Pages 237-255

  Lyall, V ^a   Suneja, S ^a   Aggarwal, S ^a  

^a UNIVERSITY OF DELHI   (India)

Author keywords

Duality; Generalized convexity; Nonlinear programming; Optimality

Indexed keywords

EID: 0031461725     PISSN: 02331934     EISSN: None     Source Type: Journal    
DOI: 10.1080/02331939708844338     Document Type: Article

References (8)

1. Charnes, A. and Cooper, W. W. (1962). Programming with Fractional Functional, Nav. Res. Log. Quart., 9, pp. 181-186.
2. Ewing, G. M. (1977). Sufficient Conditions for global minima of suitable convex functionals from variational and control theroy, SIAM Rev., 19(2), pp. 202-220.
3. Kaul, R. N. and Lyall, V. (1989). A note on Nonlinear Fractional Vector maximization. Opsearch, 26(2), pp. 108-121.
4. Kaul, R. N. and Kaur, S. (1982). Generalization of convex and related functions. European Journal of Operational Research, 9, pp. 369-377.
5. Kaul, R. N. and Kaur, S. (1982). Sufficient optimality conditions using generalized convex functions, Opsearch, 19(4), pp. 212-224.
6. Kaul, R. N. and Kaur, S. (1984). Generalized convex functions - properties, optimality and duality. Technical Report SOL, 84-4, Stanford University, California.
7. Mangasarian, O. L. (1969). Nonlinear Programming, McGraw Hill, New York.
8. Suneja, S. K. and Gupta, S. (1993). Duality in Nonlinear Programming involving semilocally convex and related functions, Optimization, 28. pp. 17-29.