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

Front Matter....Pages i-viii
Front Matter....Pages 1-1
Univex sets, functions and univex nonlinear programming....Pages 3-18
Optimization on closely convex sets....Pages 19-34
A note on ordinal concavity....Pages 35-39
Generalized concavity in cooperative game theory: characterizations in terms of the core....Pages 40-52
On the existence of Nash-equilibrium in n -person generalized concave games....Pages 53-61
A deep cut ellipsoid algorithm and quasiconvex programming....Pages 62-76
Quasiconvexity and related properties in the calculus of variations....Pages 77-84
Ray-quasiconvex and f-quasiconvex functions....Pages 85-90
Geodesic convexity on ℝ n ....Pages 91-103
A class of differentiable generalized convex functions....Pages 104-115
Equivalence between generalized gradients and subdifferentials for a suitable class of lower semicontinuos functions....Pages 116-133
Front Matter....Pages 135-135
Generalizing convexity for second order optimality conditions....Pages 137-144
Regularity conditions for constrained extremum problems via image space approach: the linear case....Pages 145-152
Duality theory for convex/quasiconvex functions and its application to optimization....Pages 153-170
First order generalized optimality conditions for programming problems with a set constraint....Pages 171-185
Abstract nonsmooth nonconvex programming....Pages 186-210
A survey on optimality and duality in nonsmooth programming....Pages 211-225
Front Matter....Pages 227-227
Generalized monotonicity — a survey....Pages 229-249
Orderings, generalized convexity and monotonicity....Pages 250-262
Generalized monotonicity in non-smooth analysis....Pages 263-275
Front Matter....Pages 227-227
Some invariance properties of generalized monotonicity....Pages 276-277
Front Matter....Pages 279-279
On quasiconvexity in fractional programming....Pages 281-293
A class of non-linear programs: theoretical and algorithmical results....Pages 294-310
Post-buckling analysis of frames by a hybrid path-following method....Pages 311-321
Fractional programming under uncertainty....Pages 322-333
Front Matter....Pages 335-335
Generalized concavity and optimality conditions in vector and scalar optimization....Pages 337-357
Duality for vector valued B-invex programming....Pages 358-373
A cutting plane algorithm for linear optimization over the efficient set....Pages 374-385
Multiobjective scheduling problems....Pages 386-391
On the relationships between bicriteria problems and non-linear programming....Pages 392-400
Back Matter....Pages 401-408