As pointed out by Kirk and Xu, asymptotic pointwise mappings seem to be a natural generalization of nonexpansive mappings.
As pointed out by Kirk and Xu, asymptotic pointwise mappings seem to bea natural generalization of nonexpansive mappings.
The most general results for uniformly continuous Φ-pseudo-contractive-type and ϕ-hemi-contractive-type mappings seem to be the following theorems (see also [2], Chapter 9).
Remark 3.2 Theorem 3.1 extends the main results in [4, 16, 18, 20] to the case of asymptotically nonexpansive in the intermediate sense mappings and it seems to be new even in the case that the space has a Fr échet differentiable norm.
On the other hand, Heilpern [23] first introduced the concept of fuzzy contraction mappings and proved afixed point theorem for fuzzy contraction mappings in a complete metric linearspaces, which seems to be the first to establish a fuzzy analog of Nadler'scontraction principle [24].
Although almost nothing else seems to be invariant under projective mappings, one should note that lines are mapped onto lines.
Asai hasn't revealed the technical details of the project, but as SlashGear points out, it seems to use an initial face-mapping technology to latch on during real-time movements and accurately project various designs onto the face.
This seems to suggest that Melentsov may have identified conditions that imply the existence of fixed points for contractive mappings.
The performed study in the manuscript seems to be also promising for its extension to the study of single-valued and multivalued proximal contraction mappings in-between subsets of metric spaces because of the close formal relation between cyclic self-mappings and proximal mappings.
Not all countries seem to have succeeded in this task, resulting in 'unspecified' (Canada and Japan, Denmark, Germany, Sweden, England/Northern Ireland, United States) or missing (Italy and Flanders) orientation, despite the fact that the ISCED mappings indicate an orientation for every educational program.
