The minimax identity for a nondecreasing upper-semicontinuous utility function satisfying mild growth assumption is studied. In contrast to the classical setting, concavity of not asumed. By considering concave envelope function, equalities and inequalities between robust functionals an initial its concavification are obtained. Furthermore, similar proved in case implementing upper bound on fin...

We establish qualitative results of Phragmèn-Lindelöf type for upper semicontinuous viscosity solutions of fully nonlinear partial differential inequalities of the second order in general unbounded domains of IR.

In this paper, we establish some results on strong convergence for weighted sums of uniformly integrable fuzzy random variables taking values in the space of upper-semicontinuous fuzzy sets in Rp.

We obtain necessary and sufficient conditions in the Large Deviation Principle for random upper semicontinuous functions on a separable Banach space. The main tool is the recent work of Arcones on the LDP for empirical processes.

We show that every upper semicontinuous and equi-affine invariant valuation on the space of d-dimensional convex bodies is a linear combination of affine surface area, volume and the Euler characteristic. 1991 AMS subject classification: Primary 52A20; Secondary 53A15.

This paper is a continuation of [5]. We apply the upper envelope representation method (or the quasilinearization method) in vector lattices developed in [4, 5] to the homogeneous functional calculus of linear and bilinear operators. Explicit formulae for computing φ̂(T1, . . . , TN ) for any finite sequence of regular linear or bilinear operators T1, . . . , TN are derived. For the theory of ve...

We prove a fixed-point result for compact upper semicontinuous compact-convex-valued multifunctions satisfying antipodal boundary conditions on bounded symmetric subsets of a normed space. Two types or antipodal conditions are considered.

In the present work we obtain existence results for Hammerstein type integro-differential inclusions in a finite dimensional space for the cases when the integral multifunction satisfies upper Caratheodory conditions and when it is almost lower semicontinuous.