The patients of today are more often than previously said to act as consumers towards healthcare. However, the definition of the concept of consumer is often unclear and not based on theory. The present paper applies a theoretical framework that emphasizes the role of technological devices for the construction of calculating consumers as outlined by Michel Callon. The focus is on to what extent...

This paper explores the different yet complementary aspects of the panopticon and the panspectron using the case study of the Israeli controlled Palestinian territory, the Gaza Strip. Beginning with a brief theoretical discussion of the concept of panopticon and panspectron expanding on the existing literature, the paper moves on to discuss the implementation of panoptical and panspectral techn...

This chapter focusses on Foucault, Butler, and video-sharing on sexual social networking sites. It argues that the use and prevalence of video-sharing technologies on sexual social networking websites, has a direct impact on our notions of sexual identity. Though sometimes pitted against one another and at times contradictory, the ideas of Michel Foucault and Judith Butler on the nature and exp...

The classical Jensen inequality for concave function φ is adapted for the Sugeno integral using the notion of the subdifferential. Some examples in the framework of the Lebesgue measure to illustrate the results are presented.

Extending and improving some recent results of Hantoute, López, and Zălinescu and others, we provide characterization conditions for subdifferential formulas to hold for the supremum function of a family of convex functions on a real locally convex space.

In this note we give a Brøndsted-Rockafellar Theorem for diagonal subdifferential operators in Banach spaces. To this end we apply an Ekeland-type variational principle for monotone bifunctions.

We relate the argmin sets of a given function, not necessarily convex or lower semicontinuous, and its lower semicontinuous convex hull by means of explicit characterizations involving an appropriate concept of asymptotic functions. This question is connected to the subdifferential calculus of the Legendre–Fenchel conjugate function. The final expressions, which also involve a useful extension ...

In this paper we introduce and study enhanced notions of relative Pareto minimizers to constrained multiobjective problems that are defined via several kinds of relative interiors of ordering cones and occupy intermediate positions between the classical notions of Pareto and weak Pareto efficiency/minimality. Using advanced tools of variational analysis and generalized differentiation, we estab...

and Applied Analysis 3 where ∂ denotes the subdifferential in the sense of convex analysis. We need the subdifferential inequality Φ( 󵄩󵄩󵄩󵄩x + y 󵄩󵄩󵄩󵄩) ≤ Φ (‖x‖) + ⟨y, j (x + y)⟩ ∀x, y ∈ X, j (x + y) ∈ Jφ (x + y) . (14) For a smoothX, we have Φ( 󵄩󵄩󵄩󵄩x + y 󵄩󵄩󵄩󵄩) ≤ Φ (‖x‖) + ⟨y, Jφ (x + y)⟩ ∀x, y ∈ X, (15) or considering the normalized duality mapping J, we have 󵄩󵄩󵄩󵄩x + y 󵄩󵄩󵄩󵄩 2 ≤ ‖x‖ 2 + 2 ⟨y, J (...

In general, the value function associated with an exit time problem is a discontinuous function. We prove that the lower (upper) semicontinuous envelope of the value function is a supersolution (subsolution) of the Hamilton–Jacobi equation involving the proximal subdifferentials (superdifferentials) with subdifferential-type (superdifferential-type) mixed boundary condition. We also show that i...