Sentence examples for of generating space from inspiring English sources

Based on above definition, we introduce the following definition in the setting of generating space of b-quasi-metric family.

Inspired by the above definition, we introduce the (G_{bd} -cyclic-Kannan contraction in the settinG_{bd} -cyclic-Kannan of a b-dislocated metric family.

Motivated by all above facts, we introduce the new classes of Hardy-Rogers type contractions and prove some fixed point theorems using various types of Hardy-Rogers contractions in the context of generating space of a b-dislocated metric family.

Some new concepts of generating spaces of quasi-norm family are introduced and their linear topological structures are studied.

In this paper, we prove some fixed point theorems using various cyclic contractions in weaker forms of generating spaces.

Then we prove the existence of fixed point theorems in weaker forms of generating spaces by using the above mentioned contractive conditions.

Note that although minimizing the traditional kriging variance looks equally demanding, one here can usually resort to efficient methods of generating space-filling designs rather than taking a direct approach.

We also evaluated whether the number of generated space-time signals can be reduced by restricting the time and spatial windows for the analyses.

Now we give some basic definitions of the generating space of a b-quasi-metric family.

Now we introducing the concepts of a generating space of a b-dislocated quasi-metric family (simply '(G_{bdq} -family') and a G_{bdq} -familye of and-dislocated metric family (simply '(generatingmily').

In 1997, Chang et al. [22] introduced the definition of a generating space of a quasi-metric family and established some interesting fixed point theorems and coincidence point theorems in the generating space of a quasi-metric family.