Operations Research Transactions ›› 2011, Vol. 15 ›› Issue (2): 77-84.
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PAN Shao-Rong, ZHANG Li-Wei
Online:
Published:
Abstract: Based on the properties of the space of star-shaped sets, a class of star-shaped differentiable functions,whose directional derivatives are representable as a difference of two nonnegative positively homogeneous continuous functions, is defined. The necessary optimality condition of Fritz-John type for an optimization problem with star-shaped differentiable inequality constraints is given.
Key words: cone, branch-and-bound method, global optimization
CLC Number:
中图分类号: 
O221.2 
 
数学分类号: 90C30
PAN Shao-Rong, ZHANG Li-Wei. Fritz-John Condition for a Class of Nondifferntiable Optimization[J]. Operations Research Transactions, 2011, 15(2): 77-84.
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