Sentence examples for properties of strictly from inspiring English sources

In this section, we derive some properties of strictly G-preinvex functions.

Consequently, we obtain some new fixed point theorems and existence theorems of solutions for the equation Ax = μx using properties of strictly convex (concave) functions.

In this paper, we obtain some new fixed point theorems and existence theorems of solutions for the equation Ax = μx using properties of strictly convex (concave) function and theories of topological degree.

then φ is called strictly concave function on D. We are now in the position to apply the topological degree and properties of strictly convex (concave) function to derive some new fixed point theorems for semi-closed 1-set-contractive operators and existence theorems of solutions for the equation Ax = μx which generalize a great deal of well-known results and relevant recent ones.

In this paper, we firstly obtain one property of strictly G-preinvex functions, we consider the strictly G-preinvex functions introduced by Antczak [4].

At first, as R s est in (18) is similar to Rs(Ma, Pt, W) in (8), the same property of strictly concave and monotonically increasing of (18) is fulfilled.

No real valued scoring rule for imprecise probabilities can have the desirable property of being strictly proper (Seidenfeld, Schervish, and Kadane 2012).

However, the size, thermal stability and mechanical properties of microcapsules are strictly demanded to suit the natural instincts and the actual application conditions of asphalt.

Almost as bizarre, Janet Kardon, the exhibition's original curator, discussed the artistic properties of the photographs strictly in terms of light, form and composition, evading any mention of their sexual content.

In this process, careful designing of the deposition parameters is crucial in obtaining the product of strictly desired properties.

In this section, we obtain several properties for the Perron complement of strictly γ- and product γ-diagonally dominant matrices through using the entries and spectral radius of the original matrix.