Sentence examples for mappings the class from inspiring English sources

Among classes of nonlinear mappings, the class of pseudocontractions is one of the most important classes of mappings.

As an important extension of the class of contractive mappings, the class of weakly contractive mappings was introduced by Alber and Guerre-Delabriere [1].

(2) The class of Bregman quasi-strictly pseudo-contractions is more general than the class of Bregman relatively nonexpansive mappings, the class of Bregman weak relatively nonexpansive mappings, and the class of Bregman quasi-nonexpansive mappings.  .

As a generalization of the class of nonexpansive mappings, the class of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [16]) in 1972 and has been studied by several authors.

The class of Bregman quasi-strictly pseudo-contractions is more general than the class of Bregman relatively nonexpansive mappings, the class of Bregman weak relatively nonexpansive mappings, and the class of Bregman quasi-nonexpansive mappings.

In this study, we introduce two classes of nonlinear mappings, the class ofasymptotically demicontractive mappings in the intermediate sense andasymptotically hemicontractive mappings in the intermediate sense and prove theconvergence of Mann-type and Ishikawa-type iterative schemes to their respectivefixed points.

Extend the mappings from one family of mappings to two families of mappings; Extend the mappings from the class of asymptotically nonexpansive mappings to the class of generalized asymptotically nonexpansive mappings.

As generalizations of nonexpansive mappings and pseudocontractive mappings, the classes of asymptotically nonexpansive mappings and asymptotically pseudocontractive mappings were introduced by some authors, respectively; see, for instance, [4 6].

(1) Extend the mappings from one family of mappings to two families of mappings;   (2) Extend the mappings from the class of asymptotically nonexpansive mappings to the class of generalized asymptotically nonexpansive mappings.  .

The class of generalized hybrid mappings contains the class of nonexpansive mappings, nonspreading mappings, and hybrid mappings.

The class of -strict pseudocontractions falls into the one between classes of nonexpansive mappings, and the pseudocontraction mappings, and the class of strong pseudocontraction mappings is independent of the class of -strict pseudocontraction.