Sentence examples for mappings were introduced from inspiring English sources

The asymptotically nonexpansive mappings were introduced in 1972 by Geobel and Kirk [12].

Accretive mappings were introduced independently in 1967 by Browder [5] and Kato [9].

The other three similar mappings were introduced by Aoyama et al. [27].

The previous mappings were introduced to allow for simple cross-language evaluation of the phonetic recognisers.

The notions of α-ψ-contractive and α-admissible mappings were introduced by Samet et al. [1].

The classes of asymptotically demicontractive mappings and asymptotically hemicontractive mappings were introduced in 1987 by Liu [12] in Hilbert spaces.

A notion of α-ψ-quasi contractive mappings is introduced.

The notion of asymptotic pointwise mappings was introduced in [1 4].

The concept of weakly compatible mappings is introduced as follows.

The concept of compatible mappings was introduced as a generalization of commuting mappings.

The class ofasymptotically strict pseudocontractive mappings was introduced by Qihou in 1987.