Pub Date : 2023-08-16DOI: 10.28924/2291-8639-21-2023-90
C. Boonpok, P. Pue-on
This paper deals with the concepts of upper and lower weakly α-*-continuous multifunctions. Moreover, some characterizations of upper and lower weakly α-*-continuous multifunctions are investigated. Furthermore, the relationships between almost α-*-continuity and weak α-*-continuity are discussed.
{"title":"Upper and Lower Weakly α-*-Continuous Multifunctions","authors":"C. Boonpok, P. Pue-on","doi":"10.28924/2291-8639-21-2023-90","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-90","url":null,"abstract":"This paper deals with the concepts of upper and lower weakly α-*-continuous multifunctions. Moreover, some characterizations of upper and lower weakly α-*-continuous multifunctions are investigated. Furthermore, the relationships between almost α-*-continuity and weak α-*-continuity are discussed.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49274708","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-16DOI: 10.28924/2291-8639-21-2023-87
Sivakumar Thirupathi, Nirmala Thamaraiselvan
Doubly bordered k-tridiagonal interval linear systems play a crucial role in various mathematical and engineering applications where uncertainty is inherent in the system’s parameters. In this paper, we propose a novel symbolic algorithm for solving such systems efficiently. Our approach combines symbolic computation techniques with interval arithmetic to provide rigorous solutions in the form of tight interval enclosures. By exploiting the tridiagonal structure and employing a divide-and-conquer strategy, our algorithm achieves significantly reduced computational complexity compared to existing numerical methods. We also present theoretical analysis and provide numerical experiments to demonstrate the effectiveness and accuracy of our algorithm. The proposed symbolic algorithm offers a valuable tool for handling doubly bordered k-tridiagonal interval linear systems and opens up possibilities for addressing uncertainty in real-world problems with improved efficiency and reliability.
{"title":"A Symbolic Algorithm for Solving Doubly Bordered k-Tridiagonal Interval Linear Systems","authors":"Sivakumar Thirupathi, Nirmala Thamaraiselvan","doi":"10.28924/2291-8639-21-2023-87","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-87","url":null,"abstract":"Doubly bordered k-tridiagonal interval linear systems play a crucial role in various mathematical and engineering applications where uncertainty is inherent in the system’s parameters. In this paper, we propose a novel symbolic algorithm for solving such systems efficiently. Our approach combines symbolic computation techniques with interval arithmetic to provide rigorous solutions in the form of tight interval enclosures. By exploiting the tridiagonal structure and employing a divide-and-conquer strategy, our algorithm achieves significantly reduced computational complexity compared to existing numerical methods. We also present theoretical analysis and provide numerical experiments to demonstrate the effectiveness and accuracy of our algorithm. The proposed symbolic algorithm offers a valuable tool for handling doubly bordered k-tridiagonal interval linear systems and opens up possibilities for addressing uncertainty in real-world problems with improved efficiency and reliability.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46101986","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-16DOI: 10.28924/2291-8639-21-2023-88
C. Boonpok, M. Thongmoon
The aim of this paper is to introduce the concept of generalized (Λ, α)-closed sets. Moreover, we investigate some characterizations of Λα-T1/2 -spaces, (Λ, α)-normal spaces and (Λ, α)-regular spaces by utilizing generalized (Λ, α)-closed sets.
{"title":"Some Properties of Generalized (Λ, α)-Closed Sets","authors":"C. Boonpok, M. Thongmoon","doi":"10.28924/2291-8639-21-2023-88","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-88","url":null,"abstract":"The aim of this paper is to introduce the concept of generalized (Λ, α)-closed sets. Moreover, we investigate some characterizations of Λα-T1/2 -spaces, (Λ, α)-normal spaces and (Λ, α)-regular spaces by utilizing generalized (Λ, α)-closed sets.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45636240","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-09DOI: 10.28924/2291-8639-21-2023-86
Sameh Gana
This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably rescaled Chebyshev points. We are concerned with the computation of high-order eigenvalues of Sturm-Liouville problems using an effective method of discretization based on the Chebfun software algorithms with domain truncation. We solve some numerical Sturm-Liouville eigenvalue problems and demonstrate the efficiency of computations.
{"title":"Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems","authors":"Sameh Gana","doi":"10.28924/2291-8639-21-2023-86","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-86","url":null,"abstract":"This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably rescaled Chebyshev points. We are concerned with the computation of high-order eigenvalues of Sturm-Liouville problems using an effective method of discretization based on the Chebfun software algorithms with domain truncation. We solve some numerical Sturm-Liouville eigenvalue problems and demonstrate the efficiency of computations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135696751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-09DOI: 10.28924/2291-8639-21-2023-85
N. Rafi, Y. Monikarchana, R. Bandaru, Aiyared Iampan
In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL. Finally, topological investigations are performed on prime E-ideals and minimal prime E-ideals.
{"title":"On Prime E-ideals of Almost Distributive Lattices","authors":"N. Rafi, Y. Monikarchana, R. Bandaru, Aiyared Iampan","doi":"10.28924/2291-8639-21-2023-85","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-85","url":null,"abstract":"In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL. Finally, topological investigations are performed on prime E-ideals and minimal prime E-ideals.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47938613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The main aim of this paper is to introduce and study the new notions namely M∗-irresolute topological rings and M∗-irresolute topological R-modules by virtue of M∗-open sets. Examples of an M∗-irresolute topological ring and module have been put forth. Further, we provide several fundamental properties and characterizations of M∗-irresolute topological rings and M∗-irresolute topological R-modules. In addition, we shall define boundedness in these two structures and present several results on them.
{"title":"On M∗-Irresolute Topological Rings","authors":"Shallu Sharma, Naresh Digra, Pooja Saproo, Tsering Landol","doi":"10.28924/2291-8639-21-2023-84","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-84","url":null,"abstract":"The main aim of this paper is to introduce and study the new notions namely M∗-irresolute topological rings and M∗-irresolute topological R-modules by virtue of M∗-open sets. Examples of an M∗-irresolute topological ring and module have been put forth. Further, we provide several fundamental properties and characterizations of M∗-irresolute topological rings and M∗-irresolute topological R-modules. In addition, we shall define boundedness in these two structures and present several results on them.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42548995","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-04DOI: 10.28924/2291-8639-21-2023-80
G. R. Elkahlout
A device has a better failure rate at specific age t0 property, denoted by BFR-t0 if its failure rate r(t) increases for t≤t0 and for t>t0, r(t) is not less than its value at t0. A test statistic is proposed to test exponentiality versus BFR-t0 based on a randomly right censored sample of size n. Kaplan-Meier estimator is used to estimate the empirical life distribution. Properties of the test are measured by power estimates, estimated risks, and test of normality. The efficiency loss due to censoring is investigated by using tests for censored sample data.
{"title":"A Class of Tests for Testing Better Failure Rate at Specific Age Distribution With Randomly Right Censored Data","authors":"G. R. Elkahlout","doi":"10.28924/2291-8639-21-2023-80","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-80","url":null,"abstract":"A device has a better failure rate at specific age t0 property, denoted by BFR-t0 if its failure rate r(t) increases for t≤t0 and for t>t0, r(t) is not less than its value at t0. A test statistic is proposed to test exponentiality versus BFR-t0 based on a randomly right censored sample of size n. Kaplan-Meier estimator is used to estimate the empirical life distribution. Properties of the test are measured by power estimates, estimated risks, and test of normality. The efficiency loss due to censoring is investigated by using tests for censored sample data.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44742092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-04DOI: 10.28924/2291-8639-21-2023-81
H. Gissyr, M. A. Bakhit
We describe the boundedness and compactness of the composition operators Cϕ acting in NK(p,q) on the open unit ball B.
我们描述了在NK(p,q)上作用于开单位球B上的复合算子cφ的有界性和紧性。
{"title":"Composition Operators on NK(p, q)-Type Spaces on the Unit Ball","authors":"H. Gissyr, M. A. Bakhit","doi":"10.28924/2291-8639-21-2023-81","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-81","url":null,"abstract":"We describe the boundedness and compactness of the composition operators Cϕ acting in NK(p,q) on the open unit ball B.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43136285","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-04DOI: 10.28924/2291-8639-21-2023-82
S. Rathee, Yogeeta Narwal
The work reported in this article studies the equivalence relationship between fractional integral equation and Ψ-Hilfer Hybrid Langevin Differential Equations of fractional order with nonlocal initial conditions, and then we use this relationship to establish the existence of the results by means of Banach algebra and Schauder’s fixed point theorem. We then demonstrate the uniform local attractiveness of all the solutions.
{"title":"On Existence and Attractivity of Ψ-Hilfer Hybrid Fractional-order Langevin Differential Equations","authors":"S. Rathee, Yogeeta Narwal","doi":"10.28924/2291-8639-21-2023-82","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-82","url":null,"abstract":"The work reported in this article studies the equivalence relationship between fractional integral equation and Ψ-Hilfer Hybrid Langevin Differential Equations of fractional order with nonlocal initial conditions, and then we use this relationship to establish the existence of the results by means of Banach algebra and Schauder’s fixed point theorem. We then demonstrate the uniform local attractiveness of all the solutions.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43392273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-04DOI: 10.28924/2291-8639-21-2023-83
Jamal Oudetallah, Nabeela Abu-Alkishik, I. Batiha
In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-topological space coupled with deriving several their properties and relations.
{"title":"Nigh-Open Sets in Topological Space","authors":"Jamal Oudetallah, Nabeela Abu-Alkishik, I. Batiha","doi":"10.28924/2291-8639-21-2023-83","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-83","url":null,"abstract":"In this paper, we aim to introduce a new class of open sets namely nigh-open set. Accordingly, we define a topological space called a nigh-topological space. This consequently leads us to outline several new operations in connection with the sets in nigh-topological space coupled with deriving several their properties and relations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41846901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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