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math.FA2026
On Significant Pointwise Contractions and Annular Contractions
Ovidiu Popescu
In the current paper, we introduce the class of \textit{significant pointwise contractions}. This family of mappings extends the classical Banach contractions and also contains non…
math.DS2026
On fixed point results in metric spaces for large triangle-perimeter contractions
Ovidiu Popescu
In this paper we introduce a corrected extension of Burton's theory of large contractions in the context of triangle-perimeter contractions introduced by Petrov. Combining these tw…