Journal of the Korean Society for Industrial and Applied Mathematics
- 제6권1호
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- Pages.67-80
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- 2002
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- 1226-9433(pISSN)
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- 1229-0645(eISSN)
SYMMETRIC DUALITY FOR A CLASS OF NONDIFFERENTIABLE VARIATIONAL PROBLEMS WITH INVEXITY
초록
We formulate a pair of nondifferentiable symmetric dual variational problems with a square root term. Under invexity assumptions, we establish weak, strong, converse and self duality theorems for our variational problems by using the generalized Schwarz inequality. Also, we give the static case of our nondifferentiable symmetric duality results.