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math.FA2024
Perimetric contraction on quadrilaterals and related fixed point results
Anish Banerjee, Pratikshan Mondal, Lakshmi Kanta Dey
In this article, we introduce a four-point analogue of Banach-type, Kannan-type, and Chatterjea-type contractions, and examine their properties. We establish sufficient conditions…
math.FA2024
Generalized Baker's result and stability of functional equations using fixed point results
Supriti Laha, Lakshmi Kanta Dey
Hyre-Ulam stability of functional equation in single variable is studied in non-triangular metric spaces. We derive it as applications of some fixed point results developed on the…