Sentence examples for mappings is a from inspiring English sources

We observe from (1.1), (1.2) and (1.3) that every nonexpansive mapping is an α-strictly pseudocontractive mapping and every α-strictly pseudocontractive mapping is a pseudocontractive mapping, and hence a class of pseudocontractive mappings is a more general class of mappings.

The composition of these two mappings is a differentiable one-to-one mapping from computational space onto the domains or surfaces and has a nonvanishing Jacobian.

It is very easy to see that a α-contractive mapping is a α-strongly pseudo-contractive and α-Lipschitzian mapping, i.e., the class of contractive mappings is a proper subset of the class of Lipschitzian strong pseudo-contractions.

Furthermore, the class of asymptotically k-strictly pseudocontractive mappings is a proper subclass of the class of asymptotically pseudocontractive maps.

The study of contractive-type mappings is a famous topic in a metric fixed point theory.

Thus, the fuzzy graph for fuzzy set-valued mappings is a generalization of the crisp one.

Construction of fixed points of nonlinear mappings is an important and active research area.

Fixed point theory for nonlinear mappings is an important subject of nonlinear functional analysis.

The class of nearly Lipschitzian nonself mappings is an important generalization of the class of Lipschitzian nonself mappings and was introduced by Khan [19].

The class of nearly Lipschitzian mappings is an important generalization of the class of Lipschitzian mappings and was introduced by Sahu [40].

The class of asymptotically nonexpansive mappings is an important generalization of the class of nonexpansive mappings, which was introduced by Goebel and Kirk [1] in 1972.