Sentence examples for mappings is much from inspiring English sources

The fixed point theory of multivalued nonexpansive mappings is much more complicated and difficult than the corresponding theory of single-valued nonexpansive mappings.

The fixed point theory of multi-valued mappings is much more complicated and harder than the corresponding theory of single-valued mappings.

Corollary 1 (leave alone our Theorem 3) generalizes Corollary 4.3 of Zheng [17] in two ways: we do not need closedness of C and the class of our mappings is much more general than that of [17].

Corollary 1 not only keeps this sense but also gives faster convergence (see [1]).   (3) Corollary 1 (leave alone our Theorem 3) generalizes Corollary 4.3 of Zheng [17] in two ways: we do not need closedness of C and the class of our mappings is much more general than that of [17].

Now that the weak generalized φ-hemicontractive mappings are much more general mappings.

Since the proofs for the ρ-nonexpansive mappings are much simpler, the authors decided to include them in the current paper for the sake of clarity and completeness.

The convergence theorem, Theorem 3.1, generalizes, extends, and unifies some well-known weak and strong convergence results of Moudafi et al. [12], Ma et al. [15], Ma et al. [13] and Chidume et al. [16] as we considered the class of demi-contractive mappings, which is much larger than the class of nonexpansive mappings, firmly quasi-nonexpansive mappings.

In addition, the proposed algorithm only focuses on the 86 unique mappings of 8PSK constellation out of a total of 5,040 mappings, which is much more efficient than the exhaustive search algorithms.

It is much easier to manage dense mappings from one key to one value than sparse mappings from one key to multiple values.

Several of the putative SNPs identified in the genome sequencing project were not variable (Table S1), and we were much more successful in fine-mapping CAPN1 than CAST.

Inspection of paired-read mappings from the 11 kb library revealed that it was much less complex than any of the other libraries.