Sentence examples for point existence from inspiring English sources

Using the techniques of approximate solutions and fixed point, existence results are obtained, for mild solutions, when the impulsive functions are only continuous and the nonlocal item is Lipschitz in the space of piecewise continuous functions, is not Lipschitz and not compact, is continuous in the space of Bochner integrable functions, respectively.

We also discuss the fixed point existence results of contractive mappings defined on such metric spaces.

The random fixed point existence for the sub-lower semicontinuous random operators is stated below.

After this, the extreme point existence is verified by the Lagrange method as shown in (13) and (14).

We now state and prove the first common coupled fixed point existence theorem for the weakly related mappings.

In order to obtain a fixed point existence result for G-nonexpansive mappings, we need some extra assumptions.

This model represents feature points existence probabilities and their information content analysis leads to the proposed view initialization scheme.

Several boiler concepts have been examined in the context of the following three key points: existence of an intensive in-furnace recirculation, homogeneity of both the temperature and the chemical species fields, and uniformity of heat fluxes.

Each one of the proposed similarity measure does not need core-point existence and detection.

Also, we can derive some common fixed points existence results for mappings satisfying a generalized cyclic contractive condition in partially ordered b-metric spaces from our main results.

As I recall, they weren't great, but that's beside the point — their existence is what mattered.