Sentence examples for many existences from inspiring English sources

In this way I have been able to realize a kind of existence which was at least one of the many existences I had always dreamt of: I spend twelve hours a day reading, on most days of the year.

We have proved many existence theorems of best proximity points.

Many existence, uniqueness, and multiplicity results have been obtained.

There have been many existence results for system (1.2) (for example, see [1 7] and references therein).

The minimax inequalities of Fan [1] are fundamental in proving many existence theorems in nonlinear analysis.

There are many existence results for problem (1.2) in the literature.

For the past 20 years or so, many existence results have been published for various equilibrium problems (see, e.g., [7 10]).

For the past few years, many existence results and iterative algorithms for various variational inclusions systems have been studied.

Many existence results of overtaking optimal solutions and weakly overtaking optimal solutions are obtained in [3, 4].

For the past years, many existence results and iterative algorithms for various variational inequality and variational inclusion problems have been studied.

To the best of our knowledge, there are not many existence results in the literature as regards problem (1).