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math.GN2026
A criterion for Cauchy sequences in db-metric spaces
Lech Pasicki
In this note a criterion for Cauchy sequences is proved which refines the one presented in `Cauchy sequences in b-metric spaces', Topology Appl. 373 (2025) 109477.
math.GN2021
Contractions, inwardness, tool theorems
Lech Pasicki
The paper is devoted to the fixed point theory in four aspects: of contractions, nonexpansive mappings, generalized inward mappings, and of the tool theorems. The manuscript was wr…
math.GN2021
Nonexpansive fixed point theorems for primitive uniform spaces
Lech Pasicki
Some known fixed point theorems for nonexpansive mappings in metric spaces are extended here to the case of primitive uniform spaces. The reasoning presented in the proofs seems to…