Multiobjective programming with semilocally convex functions

Journal of Mathematical Analysis and Applications

Volumn 199, Issue 2, 1996, Pages 409-424

  Mukherjee, R N ^a   Mishra, S K ^a  

^a BANARAS HINDU UNIVERSITY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030584692     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0150     Document Type: Article

References (10)

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3. 3. G. M. Ewing, Sufficient conditions for global minima of suitably convex functions from variational and control theory, SIAM Rev. 19 (1977), 202-220.
4. 4. F. John, Extemum problems with inequalities as subsidiary conditions, in "Studies and Essays," Courant Anniversary Volume (K. O. Friedrichs, O. E. Neugebauer, and J. J. Stoker, Eds.), Wiley-Interscience, New York, 1948.
5. 5. R. N. Kaul and S. Kaur, Generalizations of convex and related functions, European J. Oper. Res. 9 (1962), 369-377.
6. 6. S. Kaur, "Theoretical Studies in Mathematical Programming," Ph.D. Thesis, University of Delhi, 1983.
7. 7. H. W. Kuhn and A. W. Tucker, Nonlinear programming, in "Proc. of the Second Berkeley Symposium in Mathematical Statistics and Probability" (J. Neyman, Ed.), pp. 481-493, University of California Press, Berkeley, CA, 1951.
8. 8. Y. Sawaragi, H. Nakayama, and T. Tanino, "Theory of Multiobjective Optimization," Academic Press, New York, 1985.
9. 9. T. Weir, Programming with semilocally convex functions, J. Math. Anal. Appl. 168 (1992), 1-12.
10. 10. P. Wolfe, A duality theorem for nonlinear programming, Quart. Appl. Math. 19 (1961), 239-244.