Sentence examples for by an implicit relation from inspiring English sources
In general, the mechanical response of such elements must be described by an implicit relation between the force and kinematical variables.
In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point results for self-mappings in a general class of contractions defined by an implicit relation.
In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit relation.
On the other hand, several classical fixed point theorems and common fixed point theorems have been recently unified by considering general contractive conditions expressed by an implicit relation (see Popa [1, 2]).
On the other hand, several classical fixed point theorems and common fixed point theorems have been recently unified by considering general contractive conditions expressed by an implicit relation, see Popa [16, 17] and Ali and Imdad [18].
In this paper, by using an implicit relation due to Rao et al. [12], we prove some common fixed point theorems for weakly compatible mappings with common limit range property.
On the other hand, an implicit relation is not triggered by a discourse connective, and may exist only between two consecutive sentences.
Semiotic symbols are defined by a triadic relation between forms, meanings and referents, thus having an implicit relation to the real world.
The Bruggeman model, is an improved version of the Maxwell model by accounting for these effects and defines for spherical particles the effective flux in an implicit relation: 14 The Maxwell and Bruggeman models give similar results up to φ d = 0.2.
Then, by using A φ -type real functions, some fixed point theorems for complex non-self mappings satisfying an implicit relation in fuzzy metric spaces are established.
