Sentence examples similar to generalized notion from inspiring English sources

This new notion generalized the notion of generalized (G -cone metric space [4] and G -coneized (D^)-metric space [4].

This notion generalizes the notion of directional contractions used by Song [5] (Condition (ii) in Corollary 3.9).

After that, many authors have studied and generalized this notion in many ways due to the potential of the introduced notion.

Following this paper, Karapınar and Samet [21] generalized the notion α-ψ-contractive mappings and obtained a fixed point for this generalized version.

In 1996, Jungck generalized the notion of compatible mappings.

In [18], Antczak further generalized the notion of V-r-invexity to the case of nondifferentiability.

Chandra and Tripathy [26] generalized the notion of Köthe-Toeplitz dual of sequence spaces.

Most recently, Ume [14] generalized the notion of τ-distance by introducing u-distance as follows.

Nguyen and Szałas [22] generalized that notion to model indiscernibility of objects and study concept learning.

Tran et al. [31] and Ha et al. [13] generalized that notion further for concept learning.

Quite recently, in [10], Çolak and Bektaş generalized this notion by using de la Valée-Poussin mean.