Irresolute Mappings Research Articles

ON Supra α‒ Compactness In Supra topological Spaces

The purpose of this paper is to introduce the concept of strongly supra continuous function, perfectly supra continuous function and totally supra continuous function, The relationships among these functions are studied., and investigated some properties of them. Also we introduced the concepts of supra compact space, supra Lindelof spaces and countably supra compact spaces. Some basic properties are proved. At last the relationships among supra open, supra continuous maps and supra irresolute maps in supra topological spaces .
 http://dx.doi.org/10.25130/tjps.24.2019.038

ON Supra α‒ Compactness In Supra topological Spaces

The purpose of this paper is to introduce the concept of strongly supra continuous function, perfectly supra continuous function and totally supra continuous function, The relationships among these functions are studied., and investigated some properties of them. Also we introduced the concepts of supra compact space, supra Lindelof spaces and countably supra compact spaces. Some basic properties are proved. At last the relationships among supra open, supra continuous maps and supra irresolute maps in supra topological spaces .

Generalized Regular Fuzzy Irresolute Mappings and Their Applications

In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open and generalized regular fuzzy irresolute closed maps in fuzzy topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy irresolute maps are investigated. As a natural follow-up of the study of r-generalized regular fuzzy open sets, the concept of r-generalized regular fuzzy connectedness of a fuzzy set is introduced and studied.

Generalized Weak Forms of Irresolute Mappings in Intuitionistic Topological Spaces

The purpose of this paper is to study a new classes of irresolute mappings called Intuitionistic Generalized Pre irresolute mappings, Intuitionistic Generalized Semi irresolute mappings, Intuitionistic Generalized α-irresolute mappings and Intuitionistic Generalized β-irresolute mappings with study of their properties. Then we investigate relationships between them..

∆*-Locally Continuous Functions and ∆*-Locally Irresolute Maps in Topological Spaces

The objective of the paper is to introduce a new types of continuous maps and irresolute functions called ∆*-locally continuous functions and ∆*-irresolute maps in topological spaces. The comparative study between these functions with other existing maps is discussed in this paper. Some significant results are also proved as an application of new spaces namely, ∆*-submaximal space and –space. Further the characteristics of these maps under composition maps are exhibited.

\(\alpha_\beta\)-Connectedness as a characterization of connectedness

In this paper, a new class of \(\alpha_\beta\)-open sets in a topological space \(X\) is introduced which forms a topology on \(X\). The connectedness of this new topology on \(X\), called \(\alpha_\beta\)-connectedness, turns out to be equivalent to connectedness of \(X\) and hence also to \(\alpha\)-connectedness of \(X\). The \(\alpha_\beta\)-continuous and \(\alpha_\beta\)-irresolute mappings are defined and their relationship with other mappings such as continuous mappings and \(\alpha\)-continuous mappings are discussed. An intermediate value theorem is obtained. The hyperconnected spaces constitute a subclass of \(\alpha_\beta\)-connected spaces.

Weak and strong forms of fuzzy \(\alpha\)-open (closed) sets and its applications

In this paper, we generalize the concept of infra-\(\alpha\)-open (closed) and supra-\(\alpha\)-open (closed) sets to fuzzy topological spaces and basic properties of these new concepts have been introduced. Some applications on fuzzy (supra-) infra-\(\alpha\)-open (closed) sets, likely, fuzzy (supra-) infra-\(\alpha\)-continuous mappings, fuzzy (supra-) infra-\(\alpha\)-open (closed) mappings, fuzzy supra-\(\alpha\)- irresolute mapping and fuzzy supra-\(\alpha\)-connected space are introduced. The relations and converse relations between these new concepts and others kinds of fuzzy open sets and fuzzy continuous mappings are discussed. Special results about these new concepts are investigated and studied.

Fuzzy $e$-regular spaces and strongly $e$-irresolute mappings

The aim of this paper is to introduce fuzzy ($e$, almost) $e^{*}$-regular spaces in $check{S}$ostak's fuzzy topological spaces. Using the $r$-fuzzy $e$-closed sets, we define $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points and their properties. Moreover, we investigate the relations among $r$-($r$-$theta$-, $r$-$etheta$-) $e$-cluster points, $r$-fuzzy ($e$, almost) $e^{*}$-regular spaces and their functions.

English

English

$r$-fuzzy regular semi open sets in smooth topological spaces

In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. Also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Moreover, we investigate the relationship among fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Finally, we have given some counter examples to show that these types of mappings are not equivalent.

On Irresolute Topological Vector Spaces

In this paper, our focus is to investigate the notion of irresolute topological vector spaces. Irresolute topological vector spaces are defined by using semi open sets and irresolute mappings. The notion of irresolute topological vector spaces is analog to the notion of topological vector spaces, but mathematically it behaves differently. An example is given to show that an irresolute topological vector space is not a topological vector space. It is proved that: 1) Irresolute topological vector spaces possess open hereditary property; 2) A homomorphism of irresolute topological vector spaces is irresolute if and only if it is irresolute at identity element; 3) In irresolute topological vector spaces, the scalar multiple of semi compact set is semi compact; 4) In irresolute topological vector spaces, every semi open set is translationally invariant.

Intuitionistic Fuzzy β Generalized Irresolute Mappings

The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy β generalized continuous mappings in intuitionistic fuzzy topological space. Also intuitionistic fuzzy β generalized irresolute mapping was introduced and their properties were studied. Some characterizations theorems have been proved using intuitionistic fuzzy β-generalized T1/2 space.

Generalized Alpha Contra Continuous Mapping in Intuitionistic Fuzzy Topological Spaces

In this paper we introduce the concept of intuitionistic fuzzy generalized α contra continuous mapping; intuitionistic fuzzy strongly generalized α contra continuous mapping; intuitionistic fuzzy generalized α contra irresolute mapping and their interrelations are established with necessary examples. Some applications to intuitionistic fuzzy generalized α compact spaces are also established.

On -continuous and -irresolute Maps in Topological Spaces

We investigated a new class of ▪-continuous maps and ▪-irresolute maps in topological spaces and study some of its basic properties and relations among them

(g*p)**- CLOSED SETS IN TOPOLOGICAL SPACES

In this paper, we have introduced a new class of sets called (g*p)**-closed sets which is properly placed in between the class of closed sets and the class of (g*p)**-closed sets. As an application, we introduce three new spaces namely, gT**p,T**p and T**p-spaces. We have also introduced (g*p)**-continuous and (g*p)**-irresolute maps and their properties are investigated.

English

In this paper we introduce a new class of sets namely, (sp) * -closed sets and properties of this set are investigated. We introduce (sp) * -continuous maps and (sp) * -irresolute maps.

SOMEWHAT FUZZY γ-IRRESOLUTE CONTINUOUS MAPPINGS

We define and characterize a somewhat fuzzy pre-irresolute continuous mapping and a somewhat fuzzy irresolute preopen mapping on a fuzzy topological space. Besides, some interesting properties of those mappings are given.

(1,2)*- R^G CLOSED SETS IN BITOPOLOGICAL SPACES

In this paper, we introduce a new class of sets called (1,2)*- r^g closed sets and a new class of generalized functions called (1,2)*- r^g continuous maps and (1,2)*-r^g irresolute maps in bitopological spaces. Also we obtain the basic properties of (1,2)*- r^g closed sets and (1,2)*- r^g open sets. Mathematics Subject Classification : 54E55

(i,j) - r^g Closed Sets in Bitopological Spaces

The aim of this paper is to introduce a new class of sets called (i,j) r^g closed sets and a new class of maps called D^(i,j) continuous maps and D^(i,j)irresolute maps in bitopological spaces. Also we introduce some new spaces called (i,j) – T^1/2 , (i,j) ^T 1/2 ,*T^1/2, ^T*1/2 and ^Trg and obtain their basic properties. Mathematics Subject Classification: 54A10

A new class of minimal and maximal sets via gsg closed set

In this paper we introduce a new class of closed and open sets called minimal gsg-closed, maximal gsg-closed, minimal gsg-open and maximal gsg-open sets and study their properties. Besides, we introduce and studied the sets namely gsg-semi-maximal open and gsg-semi-minimal closed sets. Continuous and irresolute maps via these sets are also introduced and we establish some of its properties.