Corrigendum to “The envelope theorem for multiobjective convex programming via contingent derivatives” [J. Math. Anal. Appl. 372 (1) (2010) 197–207]

The aim of this note is to formulate an envelope theorem for vector convex programs. This version corrects an earlier work, “The envelope theorem for multiobjective convex programming via contingent derivatives” by Jiménez Guerra et al. (2010) [3]. We first propose a necessary and sufficient condition allowing to restate the main result proved in the alluded paper. Second, we introduce a new Lagrange multiplier in order to obtain an envelope theorem avoiding the aforementioned error.

Communicating excellence in innovation

The innovation–performance relationship is well studied in the literature, but the effect of innovation-based public recognitions is underresearched. This article finds a positive effect, whose magnitude is contingent upon the firm’s growth, experience, and its service–manufacturer character.

Technology Language and Frankenstein Strategy

Teaching architecture is experiencing a moment of opportunity. New methods, like constructivist pedagogy, based on complexity and integration are yet to be explored. In this context of opportunity teaching architecture has a duty to integrate complexity in their curriculum. Teaching methods should also assume inherent indeterminacy and contingency of all complex process. If we accept this condition as part of any teaching method, the notion of truth or falsehood it becomes irrelevant. In this regard it could focus on teaching to contingency of language. Traditionally, technology is defined as the language of science. If we assume contingency as one of the characteristics of language, we could say that technology is also contingent. Therefore we could focus technology teaching to redefine its own vocabulary. So, redefining technological vocabulary could be an area of opportunity for education in architecture. The student could redefine their own tools, technology, to later innovate with them. First redefine the vocabulary, the technology, and then construct the new language, the technique. In the case of Building Technology subjects, it should also incorporate a more holistic approach for enhancing interdisciplinary transfer. Technical transfer, either from nature or other technologies to the field of architecture, is considered as a field of great educational possibilities. Evenmore, student get much broader technical approach that transgresses the boundaries of architectural discipline.

A natural extension of the classical envelope theorem in vector differential programming

The aim of this paper is to extend the classical envelope theorem from scalar to vector differential programming. The obtained result allows us to measure the quantitative behaviour of a certain set of optimal values (not necessarily a singleton) characterized to become minimum when the objective function is composed with a positive function, according to changes of any of the parameters which appear in the constraints. We show that the sensitivity of the program depends on a Lagrange multiplier and its sensitivity.