Journal of the Korean Society for Industrial and Applied Mathematics
- Volume 6 Issue 1
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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
- LEE, WON JUNG (Department of Applied Mathematics Pukyong National University)
- Published : 2002.06.30
Abstract
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.