γ-Open sets and γ-continuous mappings in fuzzy bitopological spaces

2013 ◽  
Vol 24 (3) ◽  
pp. 631-635 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Shyamal Debnath
Keyword(s):  
Continuous Mappings ◽  
Bitopological Spaces

scholarly journals On pairwise super continuous mappings in bitopological spaces

1991 ◽  
Vol 14 (4) ◽  
pp. 715-722 ◽  
Author(s):  
F. H. Khedr ◽  
A. M. Al-Shibani
Keyword(s):  
Strong Continuity ◽  
Complete Continuity ◽  
Continuous Mappings ◽  
Perfect Continuity ◽  
Bitopological Spaces

The aim of this paper is to define and study super-continuous mappings and some other forms of continuity such as strong continuity, perfect continuity and complete continuity in bitopological spaces and investigate the relations between these kinds of continuity and their effects on some kinds of spaces.

scholarly journals Fuzzy pairwise regular bitopological spaces in quasi-coincidence sense

2021 ◽  
Vol 44 (2) ◽  
pp. 139-143
Author(s):  
Md Ruhul Amin ◽  
Md Sahadat Hossain ◽  
Saikh Shahjahan Miah
Keyword(s):  
Hereditary Property ◽  
Continuous Mappings ◽  
Academy Of Sciences ◽  
Bitopological Spaces

This paper introduces three notions of fuzzy pairwise regular between bitopological spaces in quasi-coincidence sense. Then, we investigate some relations between ours and other counterparts. We observe that all these concepts are preserved under one-one, onto, fuzzy closed, fuzzy open, and fuzzy continuous mappings. Also, the hereditary property is satisfied by these concepts. Journal of Bangladesh Academy of Sciences, Vol. 44, No. 2, 139-143, 2020

𝒢Θτi⋆τj-Fuzzy Closure Operator

2020 ◽  
Vol 16 (01) ◽  
pp. 123-141
Author(s):  
Fahad Alsharari ◽  
Yaser. M. Saber
Keyword(s):  
Closure Operator ◽  
Closed Sets ◽  
New Class ◽  
Continuous Mappings ◽  
Fuzzy Ideal ◽  
Bitopological Spaces

In this paper, a new class of fuzzy ideal sets, namely the [Formula: see text]-[Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets, is introduced for fuzzy bitopological spaces in Šostak sense. This class falls strictly in between the class of [Formula: see text]-[Formula: see text]-[Formula: see text]-fuzzy ideal closed sets and the class of [Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets. Furthermore, by using the class of [Formula: see text]-[Formula: see text]-[Formula: see text]-generalized fuzzy ideal closed sets we establish a new fuzzy closure operator which generates fuzzy bitopological spaces in Šostak sense. Finally, the [Formula: see text] strongly-[Formula: see text]-fuzzy ideal continuous, [Formula: see text]-[Formula: see text]-generalized fuzzy ideal continuous and [Formula: see text]-[Formula: see text]-generalized fuzzy ideal irresolute mappings are introduced, and we show the [Formula: see text]-[Formula: see text]-generalized fuzzy ideal continuous properly fuzzy ideal bitopological spaces in Šostak sense (for short, fibtss) in between [Formula: see text] strongly-[Formula: see text]-fuzzy ideal continuous and [Formula: see text]-generalized fuzzy continuous mappings.

Dynamics of a family of orbitally continuous mappings

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3507-3517
Author(s):  
Abhijit Pant ◽  
R.P. Pant ◽  
Kuldeep Prakash
Keyword(s):  
Fixed Points ◽  
Julia Sets ◽  
Real Numbers ◽  
Continuous Mappings ◽  
Non Linear

The aim of the present paper is to study the dynamics of a class of orbitally continuous non-linear mappings defined on the set of real numbers and to apply the results on dynamics of functions to obtain tests of divisibility. We show that this class of mappings contains chaotic mappings. We also draw Julia sets of certain iterations related to multiple lowering mappings and employ the variations in the complexity of Julia sets to illustrate the results on the quotient and remainder. The notion of orbital continuity was introduced by Lj. B. Ciric and is an important tool in establishing existence of fixed points.

Operations and its applications on L-fuzzy bitopological spaces: Part I

1999 ◽  
Vol 106 (2) ◽  
pp. 255-274
Author(s):  
A. Kandil ◽  
A.S. Abd-Allah ◽  
A.A. Nouh
Keyword(s):  
Bitopological Spaces

scholarly journals Some Modifications of Pairwise Soft Sets and Some of Their Related Concepts

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1781
Author(s):  
Samer Al Ghour
Keyword(s):  
Topological Space ◽  
Sufficient Conditions ◽  
Soft Sets ◽  
New Concepts ◽  
Bitopological Spaces ◽  
The Relationship ◽  
Soft Topological Space

In this paper, we first define soft u-open sets and soft s-open as two new classes of soft sets on soft bitopological spaces. We show that the class of soft p-open sets lies strictly between these classes, and we give several sufficient conditions for the equivalence between soft p-open sets and each of the soft u-open sets and soft s-open sets, respectively. In addition to these, we introduce the soft u-ω-open, soft p-ω-open, and soft s-ω-open sets as three new classes of soft sets in soft bitopological spaces, which contain soft u-open sets, soft p-open sets, and soft s-open sets, respectively. Via soft u-open sets, we define two notions of Lindelöfeness in SBTSs. We discuss the relationship between these two notions, and we characterize them via other types of soft sets. We define several types of soft local countability in soft bitopological spaces. We discuss relationships between them, and via some of them, we give two results related to the discrete soft topological space. According to our new concepts, the study deals with the correspondence between soft bitopological spaces and their generated bitopological spaces.

scholarly journals A study of uniformities on the space of uniformly continuous mappings

2020 ◽  
Vol 18 (1) ◽  
pp. 1478-1490
Author(s):  
Ankit Gupta ◽  
Abdulkareem Saleh Hamarsheh ◽  
Ratna Dev Sarma ◽  
Reny George
Keyword(s):  
Uniform Space ◽  
Uniform Spaces ◽  
Continuous Mappings ◽  
Uniformly Continuous

Abstract New families of uniformities are introduced on UC(X,Y) , the class of uniformly continuous mappings between X and Y, where (X,{\mathcal{U}}) and (Y,{\mathcal{V}}) are uniform spaces. Admissibility and splittingness are introduced and investigated for such uniformities. Net theory is developed to provide characterizations of admissibility and splittingness of these spaces. It is shown that the point-entourage uniform space is splitting while the entourage-entourage uniform space is admissible.

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