Generalized Convexity

Table of Contents

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   Book Overview
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   Chapter 1 Univex sets, functions and univex nonlinear programming
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   Chapter 2 Optimization on closely convex sets
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   Chapter 3 A note on ordinal concavity
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   Chapter 4 Generalized concavity in cooperative game theory: characterizations in terms of the core
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   Chapter 5 On the existence of Nash-equilibrium in n -person generalized concave games
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   Chapter 6 A deep cut ellipsoid algorithm and quasiconvex programming
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   Chapter 7 Quasiconvexity and related properties in the calculus of variations
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   Chapter 8 Ray-quasiconvex and f-quasiconvex functions
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    Chapter 9 Geodesic convexity on ℝ n
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    Chapter 10 A class of differentiable generalized convex functions
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    Chapter 11 Equivalence between generalized gradients and subdifferentials for a suitable class of lower semicontinuos functions
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    Chapter 12 Generalizing convexity for second order optimality conditions
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    Chapter 13 Regularity conditions for constrained extremum problems via image space approach: the linear case
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    Chapter 14 Duality theory for convex/quasiconvex functions and its application to optimization
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    Chapter 15 First order generalized optimality conditions for programming problems with a set constraint
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    Chapter 16 Abstract nonsmooth nonconvex programming
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    Chapter 17 A survey on optimality and duality in nonsmooth programming
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    Chapter 18 Generalized monotonicity — a survey
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    Chapter 19 Orderings, generalized convexity and monotonicity
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    Chapter 20 Generalized monotonicity in non-smooth analysis
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    Chapter 21 Some invariance properties of generalized monotonicity
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    Chapter 22 On quasiconvexity in fractional programming
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    Chapter 23 A class of non-linear programs: theoretical and algorithmical results
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    Chapter 24 Post-buckling analysis of frames by a hybrid path-following method
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    Chapter 25 Fractional programming under uncertainty
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    Chapter 26 Generalized concavity and optimality conditions in vector and scalar optimization
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    Chapter 27 Duality for vector valued B-invex programming
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    Chapter 28 A cutting plane algorithm for linear optimization over the efficient set
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    Chapter 29 Multiobjective scheduling problems
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    Chapter 30 On the relationships between bicriteria problems and non-linear programming