Digital topology with fixed point

Remarks on fixed point assertions in digital topology, 5

“…• One supposes µ and ω must be non-negative, but this is not stated. The assertion presented as Theorem 3.3 of [7] is shown in Figure 15. In the statement of this assertion:…”

“…7. Assertion for expansive map in [7] The paper [7] claims to have a fixed point theorem for digital metric spaces. However, it is not clear what the authors intend to assert, as the paper has many undefined and unreferenced terms and many obscuring typographical errors.…”

“…The assertion stated as "Preposition" 2.7 of [7] (and also as an unlabeled Proposition on p. 10769 of [11]) was shown in Example 4.1 of [6] to be false.…”

“…We have shown that nearly every assertion introduced in the papers [11,1,12,14,7] is incorrect, unproven due to errors in the "proofs," or trivial. These papers are part of a larger body of highly flawed publications devoted to fixed point assertions in digital metric spaces, and emphasize our contention that the digital metric space is not a worthy subject of study.…”