On existence conditions for compatible tolerances

On the Existence of Common Fixed Point for Compatible Mappings

We establish a common fixed point theorem for two pairs of compatible mappings under a new contractive condition, which is independent of the known contractive definitions. This theorem improves various known results.

Mal’cev Conditions from Graphs for Congruences and Tolerances

In [L4] we showed that, under certain conditions, a variety satisfies a given congruence identity if and only if it satisfies the same tolerance identity. Moreover, we mentioned that a parallel result holds for Mal’cev conditions arising from graphs. In the present note we give detailed definitions and state these more general results. The motivating example for our constructions is the followi...

Existence Conditions for a Jeremy

Necessary and suffident conditions are derived for the existence ofH, controllers for a dass of linear, time-invariant enerslieed plants which is arciuded by the assoznptions genera if y made in the solution of H, problems. The assumptions relaxed in this work concern the comnarative dimensions of the dent's i n ~ u t = and ontput spaces.

On Certain Conditions for the Existence of Invariant Linear Functionals

Optimally Local Dense Conditions for the Existence of Solutions for Vector Equilibrium Problems

In this paper, by using C-sequentially sign property for bifunctions, we provide sufficient conditions that ensure the existence of solutions of some vector equilibrium problems in Hausdorff topological vector spaces which ordered by a cone. The conditions which we consider are not imposed on the whole domain of the operators involved, but just on a locally segment-dense subset of the domain.