Continuous programming containing arbitrary norms

S. Chandra, B. D. Craven, I. Husain
1985 Journal of the Australian Mathematical Society  
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
more » ... e literature, is deduced as a special case.
doi:10.1017/s144678870002214x fatcat:56rey74lv5ennfh6jxou7ld3de