On optimality conditions for cone-constrained optimization

2003 ◽  
Author(s):  
A.F. Izmailov ◽  
M.V. Solodov
Keyword(s):  
Constrained Optimization ◽  
Optimality Conditions ◽  
Cone Constrained Optimization

scholarly journals On sequential optimality conditions for smooth constrained optimization

Optimization ◽  
2011 ◽  
Vol 60 (5) ◽  
pp. 627-641 ◽  
Author(s):  
Roberto Andreani ◽  
Gabriel Haeser ◽  
J. M. Martínez
Keyword(s):  
Constrained Optimization ◽  
Optimality Conditions ◽  
Sequential Optimality Conditions

scholarly journals Continuous programming containing arbitrary norms

1985 ◽  
Vol 39 (1) ◽  
pp. 28-38 ◽  
Author(s):  
S. Chandra ◽  
B. D. Craven ◽  
I. Husain
Keyword(s):  
Mathematical Programming ◽  
Constrained Optimization ◽  
Optimality Conditions ◽  
Duality Result ◽  
Duality Results ◽  
Continuous Programming ◽  
Arbitrary Norms ◽  
Abstract Spaces ◽  
Special Case

AbstractOptimality 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.

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