Sentence examples for mappings that generalize from inspiring English sources

We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic pointwise contractions, and nonexpansive and asymptotic nonexpansive mappings.

In this paper we establish some common fixed point results for the Banach operator and symmetric Banach operator pairs in reflexive Banach spaces for Bregman nonexpansive mappings that generalize the concept of nonexpansivity.

Alber et al. [10] introduced the class of total asymptotically nonexpansive mappings that generalizes several classes of maps that are extensions of asymptotically nonexpansive mappings.

Marino et al. [27] introduced a multi-step iterative method that generalizes the two-step method studied in [19] from two nonexpansive mappings to a finite family of nonexpansive mappings, and proved that the sequence generated by this method converges strongly to a common fixed point of the mappings which is also a solution of the equilibrium problem (1.6).

This is an architectural change that generalizes past medical records.

That generalizing is difficult may be the most encouraging sign.

A mapping T : C → C is called generalized hybrid if there exist α, β ∈ R such that α ∥ T x − T y ∥ 2 + ( 1 − α ) ∥ x − T y ∥ 2 ≤ β ∥ T x − y ∥ 2 + ( 1 − β ) ∥ x − y ∥ 2. for all x, y ∈ C. We note that the generalized hybrid mappings generalize several well-known mappings.

The aim of this paper is to study common fixed point of four mappings that satisfy the generalized contractive condition in two ordered generalized metric spaces.

We observe that the 2-generalized hybrid mappings above generalize several well-known mappings.

We observe that the mappings above generalize several well-known mappings.

Jungck [4] coined the term compatible mappings to generalize the concept of weak commutativity and showed that weakly commuting maps are compatible but the converse is not true.