scholarly journals A general sufficiency theorem for nonsmooth nonlinear programming

1983 ◽  
Vol 276 (1) ◽  
pp. 235-235 ◽  
Author(s):  
R. W. Chaney
Author(s):  
B. D. Craven ◽  
B. Mond

AbstractThe Fritz John necessary conditions for optimality of a differentiable nonlinear programming problem have been shown, given additional convexity hypotheses, to be also sufficient (by Gulati, Craven, and others). This sufficiency theorem is now extended to minimization (suitably defined) of a function taking values in a partially ordered space, and to (convex) objective and constraint functions which are not always differentiable. The results are expressed in terms of subgradients.


2012 ◽  
Vol 34 (6) ◽  
pp. 1425-1431
Author(s):  
Ran Gu ◽  
Xue-song Qiu ◽  
Yan Qiao ◽  
Juan Li ◽  
Luo-ming Meng

1986 ◽  
Author(s):  
Philip E. Gill ◽  
Walter Murray ◽  
Michael A. Saunders ◽  
Margaret H. Wright

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