Note that the class of -strict pseudo-contractions strictly includes the class of nonexpansive mappings which are mapping on such that, for all,.
We note that the class of -strict pseudocontractions strictly includes the class of nonexpansive mappings which are mapping on such that (1.3).
Note that the class of strict pseudocontractions properly includes the class of nonexpansive mappings which are mapping on such that (1.4).
Note that the class of strict pseudocontractions strictly includes the class of nonexpansive mappings which are mapping on such that (1.3).
Note that for the first time the study of such mappings which are close to diagonal mapping was suggested by Rudin in [2].
The best examples of noncompatible maps are found among pairs of mappings which are discontinuous at their common fixed point [69].
On the other hand, there are many nonlinear mappings which are more general than the nonexpansive mapping.
That is, there are bounded measurable mappings which are ⪯-comonotonic with all the maps of the maximal generator of ⪯ ˜ and they do not belong to such a generator.
In this paper, we give the definitions of a countable family of relatively nonexpansive mappings and a countable family of weak relatively nonexpansive mappings which are generalizations of a relatively nonexpansive mapping and a weak relatively nonexpansive mapping respectively.
However, there are some half-continuous mappings which are not u.d.c.. To see this, consider the mapping defined by (4.4).
There are some half-continuous mappings which are not continuous.
