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| Volume 7, Number 2, August 2006, pp. 189-198 | |||||||||
| S. K. Mishra, S. Y. Wang and K. K. Lai | |||||||||
| Key words: | |||||||||
| second order mixed symmetric dual model, non-differentiable programming, duality, second order generalized pseudo-convexity Support functions | |||||||||
| Mathematices Subject Classification: 49J40, 47J20, 47H10 | |||||||||
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| Abstract: | |||
| In this paper, we have formulated first order as well as second order Mond-Weir type mixed symmetric dual problems for a class of non-differentiable nonlinear mathematical programming problems with multiple arguments. We have established weak duality theorems for each pair of problems under generalized pseudo-convexity and second order generalized pseudo-convexity assumptions. Several known results including Hou and Yang [Journal of Mathematical Analysis and Applications 255 (2001) 491], Mishra [European Journal of Operational Research 127 (2000) 507] and Mond and Schechter [Bulletin of the Australian Mathematical Society 53 (1996) 177] as well as others are obtained as special cases. | |||
| Mond-Weir type mixed symmetric first and second order duality in non-differentiable mathematical programming | ||