6 papers
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.
My last fixed point theorem
Lech Pasicki
In this note a far extension of the Banach fixed point theorem is proved.
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…
Istances and Brøndsted's variational principle
Lech Pasicki
The manuscript contains elegant extensions of the fundamental variational principles: Brøndsted's and Ekeland's. On the other hand we get general and precise version of the Takahas…
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…
A Stokes theorem for everyone
Lech Pasicki
Many versions of the Stokes theorem are known. More advanced of them require complicated mathematical machinery to be formulated which discourages the users. Our theorem is suffici…