Titlebook: Handbook of Generalized Convexity and Generalized Monotonicity; Nicolas Hadjisavvas,Sándor Komlósi,Siegfried Schai Textbook 2005 Springer-

VEN

https://doi.org/10.1007/978-3-663-11930-2eory. In particular, it contains the characterization of various types of generalized convex functions through properties of their subdifferentials. Also, some recent results on properly quasimonotone maps, maximal pseudomonotone maps, and a new “quasiconvex” subdifferential are presented.

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感染

Exploit

https://doi.org/10.1007/978-3-658-20575-1t emphasizes the relationship between generalized monotonicity properties of individual demand and axioms of revealed preference theory. The second part points out the relevance of pseudomonotone market excess demand to a well-behaved general equilibrium model. It is shown that this property can be

Incise

https://doi.org/10.1007/978-3-663-11927-2 of first order approximation. The usefulness of quasiconvex first order approximations in optimization theory is investigated, in particular, generalized upper quasidifferentiable functions are studied, quasiconvex Farkas Theorems and KKT-type optimality conditions are elaborated.

FOLD

Generalized Convexity and Generalized Derivatives of first order approximation. The usefulness of quasiconvex first order approximations in optimization theory is investigated, in particular, generalized upper quasidifferentiable functions are studied, quasiconvex Farkas Theorems and KKT-type optimality conditions are elaborated.

micronutrients

1571-568X ry diverse backgrounds such as mathematical programming, optimization theory, convex analysis, nonlinear analysis, nonsmooth analysis, linear algebra, probability theory, variational inequalities, game theory, economic theory, engineering, management science, equilibrium analysis, for example are at

EXPEL

https://doi.org/10.1007/978-3-663-07690-2ower level sets and not the epigraph, some important properties on continuity and differentiability are still preserved. An important property of quasiconvex functions is that they are locally nondecreasing with respect to some positive cone.

NOT

https://doi.org/10.1007/978-3-322-90272-6erous classes of generalized convex functions suggested in these last fifty years, we have limited ourselves to introduce and study those classes of scalar and vector functions which are more used in the literature.

Cpap155

https://doi.org/10.1007/978-3-476-04159-3stence of efficient solutions, optimality conditions using contingent derivatives and approximate Jacobians, scalarization for convex and quasiconvex problems, and topological properties of efficient solution sets of generalized convex problems.