Sentence examples for version of the mappings from inspiring English sources

An interim version of the mappings file has previously been made available upon request, and was also included in a collection of mapping sets for various biomedical ontologies at the BioPortal website.

Later versions of the structure-mapping theory incorporate additional ideas and constraints (Forbus, Ferguson, and Gentner 1994; Forbus 2001 and elsewhere), and the same is true of other structuralist computational approaches, such as ACME (discussed in §3.4).

The above results lead us to the following version of the demiclosedness principlefor semigroup of mappings.

In this paper, we first give a two-mappings version of the algorithm (1.1) in hyperbolic spaces and use P T ( x ) = { y ∈ T x : d ( x, y ) = d ( x, T x ) } instead of a stronger condition T p = { p } for any p ∈ F ( T ) to approximate common fixed points of two multivalued nonexpansive maps.

We also introduce the concept of strongly generalized nonexpansive mappings and prove the analogue version of the result above for Ibaraki-Takahashi's generalized nonexpansive mappings.

We also introduce a concept of strongly generalized nonexpansive mappings and present the analogue version of the result above for Ibaraki-Takahashi's generalized nonexpansive mappings.

The following short version of the Banach contraction principle for self-mappings in cone metric spaces follows immediately from Theorem 11.1.

In [67], Pant and Bisht introduced a new notion of pseudo compatible mappings, which is a stronger version of conditionally compatible mappings.

In the year 1978, a generalized version of the theorem of Hyers for approximately linear mappings was given by Rassias [4].

We are going to give a version of the above result using a pair of mappings satisfying the (CLR_{g} -property.

A generalized version of the theorem of Hyers for approximately linear mappings was presented by Rassias [12] in 1978 by considering the case when inequality (1.2) is unbounded.