Sentence examples for mappings or a from inspiring English sources

Is there some way to improve the results to more than two mappings or a family of mappings as in the case of nonexpansive mappings (see, for example, [10] and references contained therein)?

Much work has been done in designing iterative algorithms either to approximate a null point of maximal monotone mappings or a fixed point of weakly or strongly relatively non-expansive mappings, see [5 10] and the references therein.

Questions (i) Are the results in Theorem 2.2 and Theorem 3.4 still true when the norm closedness for R c is replaced by weak closedness or weak∗ closedness (for dual Banach spaces)?   (ii) Is there some way to improve the results to more than two mappings or a family of mappings as in the case of nonexpansive mappings (see, for example, [10] and references contained therein)?  .

Further, when A i = A, M i = M(i = 1,2) and y = x, the system (1.3) reduces to a nonlinear variational inclusion of find x ∈ ℬ such that 0 ∈ N ( x ) + M ( g ( x ) ), which contains the variational inclusions with H-monotone operator, H-accretive mappings, or A-maximal (m -relaxed m -relaxedAmonotonepings in [2, 3] AMRMpecial cases.

Uniquely mapped reads (called unique mappings) or reads with a certain amount of mismatches can thus easily be queried.

It is based on a library of mapping modules implementing functions such as discovering mappings or evaluating mapping strategies.

(b) For the mappings, we extend the mappings from nonexpansive mappings, relatively nonexpansive mappings or quasi- -nonexpansive mapping to an infinite family of quasi- -asymptotically mappings;   (c) For the algorithms, we propose a new modified block iterative algorithms which are different from ones given in [12 14, 19] and others.  .

For the mappings, we extend the mappings from nonexpansive mappings, relatively nonexpansive mappings or quasi- -nonexpansive mapping to an infinite family of quasi- -asymptotically mappings; For the algorithms, we propose a new modified block iterative algorithms which are different from ones given in [12 14, 19] and others.

When a tRNA overlapped more than one mapping in another species, due to either low-resolution mappings or multiple mappings, orthology was preferentially assigned to a tRNA with the same identity and anticodon.

Thus, it is necessary to obtain some results for various optimal value mappings or various optimal solution mappings of optimization problems from a quantitative viewpoint.

Let {T i : i ∈ I}: C → X be a finite family of nonself asymptotically nonexpansive mappings (or nonself asymptotically quasi-nonexpansive mappings) with {k in }.