Buradasınız

Anasayfa » Content

Optimality and Duality for Second-order Multiobjective Variational Problems

Journal Name:

  • European Journal of Pure and Applied Mathematics

Publication Year:

  • 2010

Key Words:

Author Name

AMS Codes:

Abstract (2. Language): 
In this work, we first modify a converse duality theorem for second-order dual of a scalar variational problem. We then consider its multiobjective analogue and obtain necessary optimality conditions and duality relations. At the end, the static case of our problems has also been discussed.
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastirmax-optimality-and-duality-second-order-multiobjective-variational-problems.pdf
  • 5
786-805
  • English

REFERENCES

References: 

[1] I. Ahmad, T. R. Gulati, Mixed type duality for multiobjective variational problems with
generalized (F,)-convexity, Journal of Mathematical Analysis and Applications 306
(2005) 669-683.
[2] C. R. Bector, I. Husain, Duality for multiobjective variational problems, Journal of Mathematical
Analysis and Applications 166 (1992) 214-229.
[3] D. Bhatia, A. Mehra, Optimality conditions and duality for multiobjective variational
problems with generalized B-invexity, Journal of Mathematical Analysis and Applications
234 (1999) 341-360.
[4] S. Chandra, B. D. Craven, I. Husain, A class of nondifferentiable continuous programming
problems, Journal of Mathematical Analysis and Applications 107 (1985) 122-131.
[5] V. Chankong, Y. Y. Haimes, "Multiobjective Decision Making : Theory and Methodology,"
North-Holland, New York, 1983.
[6] X. H. Chen, Second-order duality for the variational problems, Journal of Mathematical
Analysis and Applications 286 (2003) 261-270.
[7] T. R. Gulati, D. Agarwal, On Huard type second-order converse duality in nonlinear
programming, Applied Mathematics Letters 20 (2007) 1057-1063.
[8] I. Husain, A. Ahmed, M. Masoodi, Second-order duality for variational problems, European
Journal of Pure and Applied Mathematics 2 (2009) 278-295.
[9] D. S. Kim, A. L. Kim, Optimality and duality for nondifferentiable multiobjective variational
problems, Journal of Mathematical Analysis and Applications 274 (2002) 255-
278.
[10] B. Mond, S. Chandra, I. Husain, Duality for variational problems with invexity, Journal
of Mathematical Analysis and Applications 134 (1988) 322-328.
[11] B. Mond, M. A. Hanson, Duality for variational problems, Journal of Mathematical Analysis
and Applications 18 (1967) 355-364.
[12] B. Mond, I. Smart, Duality and sufficiency in control problems with invexity, Journal of
Mathematical Analysis and Applications 136 (1988) 325-333.
[13] B. Mond, J. Zhang, Duality for multiobjective programming involving second order Vinvex
functions, Proceedings of the Optimization Miniconference, B. M. Glover and V.
Jeyakumar, Editors, University of New South Wales, Sydney, Australia (1985) 89-100.

Thank you for copying data from http://www.arastirmax.com