Contact phenomena abound, and play an important role in structural and mechanical engineering. Owing to their inherent complexity, they are modelled by highly nonlinear inequalities. Considerable progress has been achieved in modelling, variational analysis and numerical approximations of contact problems involving viscoelastic and viscoplastic materials. Moreover, it has led to several new typ...

In this paper, we propose the new concept of optimal solution for fuzzy variational problems based on the possibility and necessity measures. Inspired by the well–known embedding theorem, we can transform the fuzzy variational problem into a bi–objective variational problem. Then the optimal solutions of fuzzy variational problem can be obtained by solving its corresponding biobjective variatio...

We consider a problem of optimal production control of a single unreliable machine. The objective is to minimize a discounted convex inventory/backlog cost over an infinite horizon. Using the variational analysis methodology, we develop the necessary conditions of optimality in terms of the co-state dynamics. We show that an inventorythreshold control policy is optimal when the work and repair ...

We consider a periodic review inventory system and present its optimal policy in the infinite horizon setting. The optimal inventory policy that maximizes the infinite horizon expected discounted profit for the model is analytically obtained by relating to the finite horizon setting using results from variational analysis. Results are provided that elucidate the operations of the inventory syst...

The formation of interparticle contacts and neck growth by grain boundary and surface di€usion during the sintering of rows of spherical particles is modeled. It is shown that rows of identical particles sinter into a metastable equilibrium con®guration whereas rows of particles with di€erent sizes evolve continuously by sintering followed by relatively slow coarsening. During coarsening, small...

VARIATIONAL ANALYSIS AND STABILITY IN OPTIMIZATION

In this paper, we establish a new version of Ekeland’s variational principle in a new setting of cone pseudo-quasimetric spaces. In constrast to metric spaces, we do not require that each forward Cauchy sequence is forward convergent and that each forward convergent sequence has the unique forward limit. The motivation of this paper comes from applications in Behavioral Sciences since a cone ps...