Sentence examples for by using standard fixed from inspiring English sources

Some existence and uniqueness results are obtained by using standard fixed point theorems.

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

Some new existence results are obtained by using standard fixed point theorems when the right-hand side of the inclusion has convex as well as non-convex values.

Some new existence and uniqueness results are obtained for this class of nonlocal problems by using standard fixed point theorems and Leray-Schauder degree theory.

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

In this paper, we prove existence and uniqueness results for a mixed initial value problem which contains Hadamard derivative and Riemann-Liouville fractional integrals by using standard fixed point theorems.

Results (ORs) of the four studies were combined using standard fixed-effects meta-analyses.

They were previously treated in the clinical office of the first author by using standard edgewise fixed appliances.

We develop some existence and uniqueness results for the boundary value problem (1.1) by using standard techniques from fixed point theory.

Tumors and normal mammary glands were fixed in 10% buffered formalin and embedded in paraffin by using standard procedures [ 17].

Another portion was fixed in buffered formalin (4%) for 12 hours and embedded in paraffin by using standard procedures.