Generalized Convexity

Proceedings of the IVth International Workshop on Generalized Convexity Held at Janus Pannonius University Pécs, Hungary, August 31–September 2, 1992

ISBN: 978-3-540-57624-2 (Print) 978-3-642-46802-5 (Online)

Table of contents (30 chapters)

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  1. Front Matter

    Pages i-viii

  2. Generalized Convex Functions

    1. Front Matter

      Pages 1-1

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      Pages 3-18

      Univex sets, functions and univex nonlinear programming

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      Pages 19-34

      Optimization on closely convex sets

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      Pages 35-39

      A note on ordinal concavity

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      Pages 40-52

      Generalized concavity in cooperative game theory: characterizations in terms of the core

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      Pages 53-61

      On the existence of Nash-equilibrium in n-person generalized concave games

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      Pages 62-76

      A deep cut ellipsoid algorithm and quasiconvex programming

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      Pages 77-84

      Quasiconvexity and related properties in the calculus of variations

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      Pages 85-90

      Ray-quasiconvex and f-quasiconvex functions

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      Pages 91-103

      Geodesic convexity on n

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      Pages 104-115

      A class of differentiable generalized convex functions

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      Pages 116-133

      Equivalence between generalized gradients and subdifferentials for a suitable class of lower semicontinuos functions

  3. Optimality and Duality

    1. Front Matter

      Pages 135-135

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      Pages 137-144

      Generalizing convexity for second order optimality conditions

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      Pages 145-152

      Regularity conditions for constrained extremum problems via image space approach: the linear case

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      Pages 153-170

      Duality theory for convex/quasiconvex functions and its application to optimization

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      Pages 171-185

      First order generalized optimality conditions for programming problems with a set constraint

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      Pages 186-210

      Abstract nonsmooth nonconvex programming

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      Pages 211-225

      A survey on optimality and duality in nonsmooth programming

  4. Generalized Monotone Maps

    1. Front Matter

      Pages 227-227

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      Pages 229-249

      Generalized monotonicity — a survey

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      Pages 250-262

      Orderings, generalized convexity and monotonicity

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      Pages 263-275

      Generalized monotonicity in non-smooth analysis

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