Optimal control and variational problems are mathematical frameworks used to find the best possible solutions to problems that involve dynamic systems and constraints.

Equilibrium problems and variational inequalities form a crucial mathematical framework for modelling systems where multiple agents or factors interact under specific constraints.

Abstract In this paper, we introduce the concept of a weak q-distance and for this distance we derive a set-valued version of Ekeland's variational principle in the setting of uniform spaces. By using ...

Using some variational methods sufficient conditions for the continuous dependence of trajectories on controls are proved. The obtained results are applied then to the optimal control problem governed ...