Ahmadi Zand, Mohammad Reza; Khosravi, Zahra(Universitat Politècnica de València, 2021-04-01)
[EN] Let X be an arbitrary topological space. F(X) denotes the set of all real-valued functions on X and C(X)F denotes the set of all f ∈ F(X) such that f is discontinuous at most on a finite set. It is proved that if r ...
Boxer, Laurence(Universitat Politècnica de València, 2021-04-01)
[EN] We continue the study of freezing sets in digital topology, introduced in [4]. We show how to find a minimal freezing set for a "thick" convex disk X in the digital plane Z^2. We give examples showing the significance of ...
Roy, Kushal; Panja, Sayantan(Universitat Politècnica de València, 2021-04-01)
[EN] In this article we consider a restricted version of Ciric-quasi contraction mapping for showing that this mapping generalizes several known interpolative type contractive mappings. Also here we introduce the concept ...
Lael, Fatemeh; Shabanian, Samira(Universitat Politècnica de València, 2021-04-01)
[EN] Although fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead ...
Mitra, Biswajit; Chowdhury, Debojyoti(Universitat Politècnica de València, 2021-04-01)
[EN] Let C∞ (X) denote the family of real-valued continuous functions which vanish at infinity in the sense that {x ∈ X : |f(x)| ≥ 1/n} is compact in X for all n ∈ N. It is not in general true that C∞ (X) is an ideal of ...