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math.FA2020
Applications of the Bielecki renorming technique
Mihály Bessenyei, Zsolt Páles
The renorming technique allows one to apply the Banach Contraction Principle for maps which are not contractions with respect to the original metric. This method was invented by Bi…
math.FA2016
The contraction principle in extended context
Mihály Bessenyei
There are several extensions of the classical Banach Fixed Point Theorem in technical literature. A branch of generalizations replaces usual contractivity by weaker but still effec…
math.FA2014★ 21 cited
A contraction principle in semimetric spaces
Mihály Bessenyei, Zsolt Páles
A branch of generalizations of the Banach Fixed Point Theorem replaces contractivity by a weaker but still effective property. The aim of the present note is to extend the contract…