1,721,431 research outputs found
Local cone approximations in optimization
No full textWe show how to use intensively local cone approximations to obtain results in some fields of optimization theory such as optimality conditions, constraint qualifications, mean value theorems and error bound
On the mean value theorem for semidifferentiable functions
No full textThe --semidifferentiability concept was introduced in literature some years ago and it furnishes a general scheme
for treating generalized derivatives. We prove that, in this context, it is possible to obtain a
mean value theorem. By exploiting this result we deduce conditions for a function to be
lipschitzian, C--decreasing or quasiconvex
Second Order Optimality Conditions for Differentiable Multiobjective Problems
No full textA second order optimality condition for multiobjective optimization with a set constraint is developed; this condition is expressed as the impossibility of nonhomogeneous linear systems. When the constraint is given in terms of inequalities and equalities, it can be turned into a John type multipliers rule, using a nonhomogeneous Motzkin Theorem of the Alternative. Adding weak second order regularity assumptions, Karush, Kuhn-Tucker type conditions are therefore deduced
Existence of quasiequilibria in metric vector spaces
Full text linkThis paper provides sufficient conditions for the existence of solutions for quasiequilibrium problems and generalized game problems in the setting of infinite-dimensional metrizable spaces. To this purpose, we prove a modified version of a selection theorem due to Michael [15] by exploiting the fact that any compact set in a metric space is both complete and separable. Thereafter, by a fixed point technique which is based on the notion of inside point of a convex set, we provide some existence results without requiring the upper semicontinuity and the closed-valuedness of the feasibility maps
Le routine nelle organizzazioni
No full textIn this paper we claim that organizational routines are not to be framed as merely automatic procedures. In contrast, even if routines execution leads to the logic of rule following, an interdisciplinary study of the generative processes is required to reach a comprehensive standpoint. According to this, we propose an analysis focused on two main understandings of routines, the former of which is based on the strictly operational conduct, while the latter focuses on the wide process by which individuals perceive the link the between current scenarios and planned behavior. Starting from robust models developed by leading scholars in cognitive economics, we stress the notion of categorizing situations and we sketch individuals' capability to foster the so called «we-intentionality» as a basic requirement. Beyond their role in solving problems, facilitating coordination, managing the motivational problems and resolving conflicts, routines are believed to be essential in organizational life, since agents share cultural values and formerly habits of procedural rationality. At this regard, we investigate reasoning by analogy as a collective phenomenon emerging from intersubjectivity. Moreover, we emphasize that such a process is influenced by socio-cognitive mechanisms that help us understand how people also face illstructured problems that are usually characterized by creative thinking. Mental models enhancing inventiveness are also examined as a driving force that turns out to be the core of humans' propensity of adapting past solutions to brand new sets of circumstances
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