Search Results - "Deb Ray, A."
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Common fixed point theorems on complete and weak G-complete fuzzy metric spaces
Published in Applied general topology (02-04-2024)“…Motivated by Gopal and Vetro, we introduce a symmetric pair of β-admissible mappings and obtain common fixed point theorems for such a pair in complete and…”
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2
On rings of Baire one functions
Published in Applied general topology (01-04-2019)“…This paper introduces the ring of all real valued Baire one functions, denoted by B1(X) and also the ring of all real valued bounded Baire one functions,…”
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3
On weak G-completeness for fuzzy metric spaces
Published in Soft computing (Berlin, Germany) (01-03-2022)“…In this paper, we provide equivalent characterizations of weak G -complete fuzzy metric spaces. Since such spaces are complete, we also characterize fuzzy…”
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4
A generalization of topology of uniform convergence on C(X)
Published in Topology and its applications (01-04-2022)“…We introduce the UI-topology, a generalized version of the topology of uniform convergence or the U-topology on C(X) through a z-ideal in C(X). It is realized…”
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5
Ideals in B1(X) and residue class rings of B1(X) modulo an ideal
Published in Applied general topology (01-10-2019)“…This paper explores the duality between ideals of the ring B1(X) of all real valued Baire one functions on a topological space X and typical families of zero…”
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6
Rings and subrings of continuous functions with countable range
Published in Quaestiones mathematicae (03-06-2021)“…Intermediate rings of the functionally countable subalgebra of C(X) (i.e., the rings A c (X) lying between C c ∗ (X) and C c (X)), where X is a Hausdorff…”
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Extension of Generalized Topological Spaces via Stacks
Published in Acta mathematica Hungarica (01-10-2015)“…A typical construction for extensions of T 0 generalized topological spaces (in short, GTS) is introduced and studied. A precise description for such…”
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Intrinsic characterizations of C-realcompact spaces
Published in Applied general topology (01-10-2021)“…c-realcompact spaces are introduced by Karamzadeh and Keshtkar in Quaest. Math. 41, no. 8 (2018), 1135-1167. We offer a characterization of these spaces X via…”
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On generalized cluster sets of functions and multifunctions
Published in Acta mathematica Hungarica (01-07-2013)“…This paper introduces and studies generalized cluster sets ( g -cluster sets) of functions and multifunctions on GTS, which unifies the existing notions of…”
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10
A characterization of completeness of generalized metric spaces using generalized Banach contraction principle
Published in Demonstratio mathematica (01-09-2012)“…In this paper, introducing a contraction principle on generalized metric spaces, a generalization of Banach’s fixed point theorem is obtained under the…”
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11
Fixed point theorems on generalized fuzzy metric spaces
Published in Hacettepe Journal of Mathematics and Statistics (2010)“…In this paper, a generalized fuzzy metric space is defined and shown to be a proper generalization of a fuzzy metric space. Besides, the results corresponding…”
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12
Some Properties of Lebesgue Fuzzy Metric Spaces
Published 27-01-2020“…Sahand Communications in Mathematical Analysis, 18(1), 2021, 1-14 In this paper, we establish a sequential characterisation of Lebesgue fuzzy metric and…”
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13
On Rings of Baire one functions
Published 19-11-2018“…Appl. Gen. Topol. 20, no. 1 (2019), 237-249 This paper introduces the ring of all real valued Baire one functions, denoted by $B_1(X)$ and also the ring of all…”
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14
Lebesgue Property and $G$-completeness in Generalized Quasi-uniform Spaces
Published 04-11-2023“…This paper extends the Lebesgue property and (weak) $G$-completeness to generalized quasi-uniform spaces. It investigates the connections between completeness,…”
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15
On a Generalization of Quasi-metric Space
Published 18-08-2023“…We find an extension of the quasi-metric (to be called $g$-quasi metric) such that the induced generalized topology may fail to form a topology. We show that…”
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16
On $g_{ij}$-closed bi-generalized topological spaces
Published in Boletim da Sociedade Paranaense de Matemática (01-01-2017)“…In this paper, generalizations of adherence and convergence of nets and filters on a bi-GTS are introduced and studied. Several properties and interrelations…”
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17
Common Fixed Point Theorems on Complete and Weak $G$-Complete Fuzzy Metric Spaces
Published 17-11-2021“…Applied General Topology 2024 Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of…”
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18
Real compactness via real maximal ideals of $B_1(X)
Published 19-03-2021“…In this paper, constructing a class of ideals of $B_1(X)$ from proper ideals of $C(X)$ a one-one correspondence between the class of real maximal ideals of…”
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19
More on the rings $B_1(X)$ and $B_1^(X)
Published 10-07-2020“…This paper focuses mainly on the ring of all bounded Baire one functions on a topological space. The uniform norm topology arises from the $\sup$-norm defined…”
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20
On Weak $G$-Completeness for Fuzzy Metric Spaces
Published 09-07-2020“…Soft Computing, 2022 In this paper, we provide equivalent characterizations of weak $G$-complete fuzzy metric spaces. Since such spaces are complete, we also…”
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