Generalized Convexity
Proceedings of the IVth International Workshop on Generalized Convexity Held at Janus Pannonius University Pécs, Hungary, August 31-September 2, 1992
Published on 28. March 1994
Book
Paperback/Softback
VIII, 404 pages
978-3-540-57624-2 (ISBN)
Description
Generalizations of the classical concept of a convex
function have been proposed in various fields such as
economics, management science, engineering, statistics and
applied sciences during the second half of this century. In
addition to new results in more established areas of
generalized convexity, this book presents several important
developments in recently emerging areas. Also, a number of
interesting applications are reported.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1994
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 404 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 23 mm
Weight
633 gr
ISBN-13
978-3-540-57624-2 (9783540576242)
DOI
10.1007/978-3-642-46802-5
Schweitzer Classification
Content
I. Generalized convex functions.- Univex sets, functions and univex nonlinear programming.- Optimization on closely convex sets.- A note on ordinal concavity.- Generalized concavity in cooperative game theory: characterizations in terms of the core.- On the existence of Nash-equilibrium in n-person generalized concave games.- A deep cut ellipsoid algorithm and quasiconvex programming.- Quasiconvexity and related properties in the calculus of variations.- Ray-quasiconvex and f-quasiconvex functions.- Geodesic convexity on ?n.- A class of differentiable generalized convex functions.- Equivalence between generalized gradients and subdifferentials (lower semigradients) for a suitable class of lower semicontinuous functions.- II. Optimality and duality.- Generalizing convexity for second order optimality conditions.- Regularity conditions for constrained extremum problems via image space approach: the linear case.- Duality theory for convex/quasiconvex functions and its application to optimization.- First order generalized optimality conditions for programming problems with a set constraint.- Abstract nonsmooth nonconvex programming.- A survey on optimality and duality in nonsmooth programming.- III. Generalized monotone maps.- Generalized monotonicity - a survey.- Orderings, generalized convexity and monotonicity.- Generalized monotonicity in non-smooth analysis.- Some invariance properties of generalized monotonicity.- IV. Fractional programming.- On quasiconvexity in fractional programming.- A class of non-linear programs: theoretical and algorithmical results.- Post-buckling analysis of frames by a hybrid path-following method.- Fractional programming under uncertainty.- V. Multiobjective programming.- Generalized concavity and optimality conditions in vector andscalar optimization.- Duality for vector valued B-invex programming.- A cutting plane algorithm for linear optimization over the efficient set.- Multiobjective scheduling problems.- On the relationships between bicriteria problems and non-linear programming.- Contributing authors.