Sentence examples for by applying standard fixed from inspiring English sources

Some new existence results are obtained by applying standard fixed point theorems.

Some existence results are obtained for convex as well as non-convex multivalued maps by applying standard fixed point theorems for such maps.

Existence and uniqueness results for the given problem are obtained by applying standard fixed-point theorems and are illustrated with the aid of examples.

The desired results are obtained by applying standard tools of the fixed point theory and are well illustrated with the aid of examples.

Mutants were constructed by applying standard geneSOEing technique.

One, they select investments by applying standards that include impacts on people and the planet.

By applying some standard fixed point principles, some existence and uniqueness results are obtained.

In Section 4, by applying some standard fixed point principles, we verify the existence of solutions for problem (1.1 - 1.3 1.1 - 1.3

By applying some standard fixed point theorems, we obtain the sufficient conditions for the existence and uniqueness of solutions of the problem at hand.

We prove the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order with three-point nonlocal fractional boundary conditions by applying some standard fixed point theorems.

By applying some standard fixed point theorems, Agarwal et al. [34] and Ahmad et al. [35] showed some existence results for sequential q-fractional integrodifferential equations with q-antiperiodic boundary conditions and nonlocal four-point boundary conditions, respectively.