Sentence examples for mappings which was from inspiring English sources

Heilpern [33] introduced the concept of fuzzy mapping and proved a fixed point theorem for fuzzy contraction mappings, which was successively generalized by Estruch and Vidal [34].

The above result is still true for nonspreading mappings which was shown in Kohsaka and Takahashi [4].

In the Hilbert space setting, there is a fixed point existence result for nonexpansive mappings, which was proved by Browder [11, 12], Göhde [13] and Kirk [14].

One of the popular classes of generalized nonexpansive mappings is the class of asymptotically nonexpansive mappings which was introduced by Goebel and Kirk [22] in 1972.

Moreover, Hou [5] proposed an intersection theorem for an infinite family of set-valued mappings, which was defined on non-compact spaces.

Very recently, Karapınar and Samet [13] introduced the concept of generalized α-ψ contractive mappings, which was inspired by the notion of α-ψ-contractive mappings.

Note that the class of -strict pseudo-contractions strictly includes the class of nonexpansive mappings which are mapping on such that, for all,.

We note that the class of -strict pseudocontractions strictly includes the class of nonexpansive mappings which are mapping on such that (1.3).

Note that the class of strict pseudocontractions properly includes the class of nonexpansive mappings which are mapping on such that (1.4).

Note that the class of strict pseudocontractions strictly includes the class of nonexpansive mappings which are mapping on such that (1.3).

Kohsaka and Takahashi [17] introduced a class of mappings which is called nonspreading mapping.