Sentence examples for compatible metric from inspiring English sources

We present a procedure to construct a compatible metric from a given fuzzy metric space.

The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set.

In this short section we show that if ((tilde{U},d,A)) is a soft metric space with A a (nonempty) finite set, then d induces in a natural way a compatible metric on (operatorname {SP} tilde{U})).

In an attempt to reverse the trend of obtaining soft metric extensions of existing fixed point results in the framework of ordinary metric spaces, we showed that a soft metric space, under the restriction that a set of parameters is finite, gives rise to a compatible metric on the collection of all soft points of absolute soft set.

However, the important problem of obtaining a general procedure to construct a visual and manageable compatible metric for any fuzzy metric space, in such a way that the fixed point theory for fuzzy metric spaces could be deduced from the classical fixed point theory for metric spaces, remains unsolved.

Finally, we extend the formulae of Lévy Khintchine and Beurling Deny in semi-Dirichlet forms setting through introducing a quasi-compatible metric.

We also prove common fixed point theorems for weakly compatible mappings in metric and compact metric spaces.

For Lagrange algebroids, D ~ a l g bc = 0 Open image in new window and/or * D ~ a l g bc = 0 Open image in new window; a such connection is metric (compatible) if it satisfies both h- and v-metricity conditions.

For Lagrange algebroids, D ~ a l g bc = 0 Open image in new window and/or * D ~ a l g bc = 0 Open image in new window; a such connection is metric (compatible) if it satisfies both h- and v-metricity conditions.  .

Also, some authors introduced some kind of generalizations of compatible mappings in metric spaces and other spaces (see [21 24]) and they proved common fixed point theorems using these kinds of compatible mappings in metric spaces and other spaces.

In [1], the author introduced the notion of compatible mappings in metric spaces and proved some fixed-point theorems.