Sentence examples for mappings where the from inspiring English sources

Interesting results have also been obtained regarding set-valued mappings, where the situation is more difficult and less understood.

More recently, interesting developments have occurred for nonexpansive set-valued mappings, where the situation is more difficult and less understood.

At the end, we give a supporting example of non-commuting, non-compatible mappings where the above mentioned results can not be applied.

Figure 7 shows the harmonic structure being preserved with both Smt-MF and Smt-LF mappings, where the spacing of the partials remains uniform across tones.

Also, we give a supporting example of non-commuting, non-compatible mappings where the above mentioned results can not be applied.

In this paper, we prove some PPF dependent fixed point theorems in the Razumikhin class for some rational type contractive mappings involving α c -admissible mappings where the domain and range of the mappings are not the same.

Then converges strongly to a common fixed point of the mappings, where is the unique solution of the following variational inequality: (3.1).

Then converges strongly to a common fixed point of the mappings, where is the unique solution of the following inequality: (3.20).

Then is an approximate fixed point sequence for all mappings where, that is, (4.16).

The class of quasi-nonexpansive mappings and asymptotically nonexpansive mappings includes nonexpansive mappings, where as the class of asymptotically quasi-nonexpansive mappings is larger than that of quasi-nonexpansive mappings and asymptotically nonexpansive mappings.

Let be two mappings, where denotes the space of all linear operators from to. is called a probabilistic -contractor couple of and if there exists a function satisfying the condition such that (4.6).