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Continuous programming containing arbitrary norms

Published online by Cambridge University Press:  09 April 2009

S. Chandra ,
B. D. Craven  and
I. Husain
S. Chandra
Affiliation:
Mathematics DepartmentIndian Institute of TechnologyHauz Khas, New Delhi 110016, India
B. D. Craven
Affiliation:
Mathematics DepartmentRegional Engineering CollegeSrinagar, Kashmir, India
I. Husain
Affiliation:
Mathematics DepartmentUniversity of MelbourneParkville, Victoria 3052, Australia
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Abstract

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Optimality conditions and duality results are obtained for a class of cone constrained continuous programming problems having terms with arbitrary norms in the objective and constraint functions. The proofs are based on a Fritz John theorem for constrained optimization in abstract spaces. Duality results for a fractional analogue of such continuous programming problems are indicated and a nondifferentiable mathematical programming duality result, not explicitly reported in the literature, is deduced as a special case.

MSC classification

Secondary: 90C48: Programming in abstract spaces 90C30: Nonlinear programming
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 39 , Issue 1 , August 1985 , pp. 28 - 38
Copyright
Copyright © Australian Mathematical Society 1985

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