Sentence examples for mappings are introduced from inspiring English sources

New concepts of generalized invex functions for non-differentiable functions and generalized invariant monotone operators for set-valued mappings are introduced.

First, a new concept, positive Hilbert spaces, is introduced and some fundamental inequalities which are applied to studying the properties of the resolvent operator associated for ( γ G, λ ) -weak-GRD set-valued mappings are introduced and discussed in positive Hilbert spaces.

A new class of nonlinear mixed ordered inclusion problems for ordered ( α A, λ ) -ANODM set-valued mappings with strong comparison mapping A and characterizations of ordered ( α A, λ ω ) -ANODM set-valued mappings are introduced in ordered Banach spaces.

In ordered Banach spaces, characterizations of ordered ( α A, λ ) -weak-ANODD set-valued mareintroducedntroduced and studied, which is applied to giving an approximate solution for a new class of general nonlinear mixed-order quasi-variational inclusions involving ⊕ operator.

Specifically, first language reading is more reliant on both lexical/semantic and nonlexical processing when new orthographic to phonological mappings are introduced by second language learning.

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.

mappings was introduced by Kohlenbach and Lambov [28] as it has nice logical behavior w.r.t.