Sentence examples for spaces and show from inspiring English sources

This part we will devote to the boundedness on modified Morrey spaces and show the proof Theorem 1.2 and 1.3.

In this work, we introduce a metric type structure in cone metric spaces and show that classical proofs do carry almost identically in these metric spaces.

In this section, we introduce our composite Mann iterative algorithms in uniformly convex and 2-uniformly smooth Banach spaces and show the strong convergence theorems.

In this paper, we first introduce the notion of continuity in the context of (C^ -valued metriC^ -valuednd show that a (C^)-valued contraction metric continuouspaces respect to our notion of continuity.

In van Benthem et al. 2006, for instance, the authors introduce the notion of horizontal and vertical topologies on the product of topological spaces, and show that the modal logic of products of topological spaces with horizontal and vertical topologies coincides with the fusion of S4 with itself.

In this paper, we extend the concepts of the (E.A -property and thE.A -propertyroperty in fuzzy metric spands thethe setting of multi-dimensional fuzzy metriCLR_{g} -property the existenCLR_{g} -propertysinnal coincidence point and fuzzy point theoremetric weakly compatible mappingspaces toe (E.A)-propertheand the (CLR_{g})-property.

While the artists give donations for their studio spaces and shows, the commercial film and video shoots are what pay for the upkeep and maintenance of the buildings.

Arockiarani et al. [12] presented (mathfrak {fns} -topological spaces and showed some important resolutions on it.

Moreover, Park [11] investigated the property of the abstract convex spaces and showed some applications.

Kirk and Panyanak [4] specialized this concept to (operatorname {CAT}(0)) spaces and showed that many Banach space results involving weak convergence have precise analogs in this setting.

In 2008, Kirk and Panyanak [27] investigated △-convergence in CAT ( 0 ) spaces and showed that △-convergence coincides with the usual weak convergence in Banach spaces.