Abstract Roberts’ “weak neutrality” or welfarism” theorem concerns Sen social welfare functionals which are defined on an unrestricted domain of utility function profiles and satisfy independence irrelevant alternatives, the Pareto condition, a form weak continuity. Roberts (Rev Econ Stud 47(2):421–439, 1980) claimed that induced ordering states has one-way representation by continuous, monoton...

We consider a Mayer problem of optimal control, whose dynamic constraint is given by a convex-valued differential inclusion. Both state and endpoint constraints are involved. We prove necessary conditions incorporating the Hamiltonian inclusion, the Euler-Lagrange inclusion, and the WeierstrassPontryagin maximum condition. Our results weaken the hypotheses and strengthen the conclusions of earl...

This paper studies stability of user-equilibrium (UE) route flow solutions with respect to inputs to a traffic assignment problem, namely the travel demand and parameters in the link cost function. It shows, under certain continuity and strict monotonicity assumptions on the link cost function, that the UE link flow is a continuous function of the inputs, that the set of UE route flows is a con...

Symmetric rearrangeable networks (SRN) (Chakrabarty, Collier, & Mukhopadhyay, 2009) make efficient use of hardware, but they have the disadvantage of momentarily disrupting the existing communications during reconfiguration. Path continuity is a major issue in some application of rearrangeable networks. Using repackable networks (Yanga, Su, & Pin, 2008) is a solution to the path continuity prob...

For—according to the lore—any attempt at pullingoff this featwill reduce themtomaterial implicationand that is decidedlynot agoodwayof assigning truth-conditions to ordinary indicative if s. That is too bad since it seems like they are bounded from above by strict implication (they are true when their antecedents straight out imply their consequents), are bounded from below by material implicat...

This paper is intended to consider a new approach for obtaining common fixed points under strict contractive conditions in metric spaces without assuming continuity or completeness ( or closedness) of the range of any one of the involved maps. The results proved by us can be extended to the nonexpansive or Lipschitz type mapping pairs. Our results substantially improve the results of Pant [ Dis...

This paper discusses some serious difficulties for what we shall call the standard account of various kinds of relative necessity, according to which any given kind of relative necessity may be defined by a strict conditional necessarily, if C then p where C is a suitable constant proposition, such as a conjunction of physical laws. We argue, with the help of Humberstone (Reports on Mathematica...

The commission to make some changing rooms under a strict economy of means is resolved with minimum project that, except where strictly necessary, does not modify the pre-existence. This radical premise generates an architecture based on continuity that manifests itself several levels, which allows conversations have been started during training be continued and maintained until departure, gene...