Sentence examples for mappings that generalizes from inspiring English sources

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.

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.

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).

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.

As Verma point out "the class of -monotone mappings generalizes -monotone mappings.

Remark 3.2 It follows from the uniqueness of the asymptotic center and a common fixed point of the two families of mappings that Theorem 3.1 can also be generalized to the class of mappings as mentioned in Remark 2.3(i).

The 'Banach Contraction Mapping Theorem' was generalized by many authors to mappings that satisfy much weaker conditions (see, for instance, [3 10]).

Their work both allows discontinuities of mappings and generalizes Brouwer's theorem.

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.