Ebook: Quasidifferential Calculus

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Content:
Front Matter....Pages -
Nonsmoothness and quasidifferentiability....Pages 1-19
Quasidifferentiable functions: Necessary conditions and descent directions....Pages 20-43
On the minimization of a quasidifferentiable function subject to equality-type quasidifferentiable constraints....Pages 44-55
Quasidifferential calculus and first-order optimality conditions in nonsmooth optimization....Pages 56-68
On minimizing the sum of a convex function and a concave function....Pages 69-73
An algorithm for minimizing a certain class of quasidifferentiable functions....Pages 74-84
A linearization method for minimizing certain quasidifferentiable functions....Pages 85-94
A directional implicit function theorem for quasidifferentiable functions....Pages 95-107
Directional differentiability of a continual maximum function of quasidifferentiable functions....Pages 108-117
On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions....Pages 118-134
Positively homogeneous quasidifferentiable functions and their applications in cooperative game theory....Pages 135-144
Quasidifferentiable mappings and the differentiability of maximum functions....Pages 145-159
Quasidifferentiable functions in Optimal Control....Pages 160-175
The space of star-shaped sets and its applications in nonsmooth optimization....Pages 176-202
?-Quasidifferentiability of real-valued functions and optimality conditions in extremal problems....Pages 203-218
Back Matter....Pages -

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Content:
Front Matter....Pages -
Nonsmoothness and quasidifferentiability....Pages 1-19
Quasidifferentiable functions: Necessary conditions and descent directions....Pages 20-43
On the minimization of a quasidifferentiable function subject to equality-type quasidifferentiable constraints....Pages 44-55
Quasidifferential calculus and first-order optimality conditions in nonsmooth optimization....Pages 56-68
On minimizing the sum of a convex function and a concave function....Pages 69-73
An algorithm for minimizing a certain class of quasidifferentiable functions....Pages 74-84
A linearization method for minimizing certain quasidifferentiable functions....Pages 85-94
A directional implicit function theorem for quasidifferentiable functions....Pages 95-107
Directional differentiability of a continual maximum function of quasidifferentiable functions....Pages 108-117
On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions....Pages 118-134
Positively homogeneous quasidifferentiable functions and their applications in cooperative game theory....Pages 135-144
Quasidifferentiable mappings and the differentiability of maximum functions....Pages 145-159
Quasidifferentiable functions in Optimal Control....Pages 160-175
The space of star-shaped sets and its applications in nonsmooth optimization....Pages 176-202
?-Quasidifferentiability of real-valued functions and optimality conditions in extremal problems....Pages 203-218
Back Matter....Pages -
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