{"title":"L∞-Convergence Analysis of a Finite Element Linear Schwarz Alternating Method for a Class of Semi-Linear Elliptic PDEs","authors":"Q. Farei, M. Boulbrachene","doi":"10.28924/2291-8639-21-2023-71","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-71","url":null,"abstract":"In this paper, we prove uniform convergence of the standard finite element method for a Schwarz alternating procedure for a class of semi-linear elliptic partial differential equations, in the context of linear iterations and non-matching grids. More precisely, making use of the subsolution-based concept, we prove that finite element Schwarz iterations converge, in the maximum norm, to the true solution of the PDE. We also give numerical results to validate the theory. This work introduces a new approach and generalizes the one in [14] as it encompasses a larger class of problems.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42094410","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}
Paul Ryan A. Longhas, Alsafat M. Abdul, E. B. Baccay
{"title":"The Security Assignment Problem and Its Solution","authors":"Paul Ryan A. Longhas, Alsafat M. Abdul, E. B. Baccay","doi":"10.28924/2291-8639-21-2023-72","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-72","url":null,"abstract":"In this paper we derived a new method for finding the optimal solution to security assignment problems using projection onto a convex set. This study will help communities find the optimal number of assigned and reserved personnels in designating security officers to an area. This study is applicable as well to CCTV assignment problems. The main goal of this study is to give a new method that can be applied in solving security assignment problems. We used some of the known properties of the convex optimization in proving the properties of the optimal solution, such as the concept of proximity operator, projection onto the convex set, and primal and dual problem. In addition to that, we used some basic knowledge in graph theory to answer our real-life application of this study. The main results of this paper showed that we found instances when the optimal solution to a security problem exists and when the solutions exist, we can determine the answer to the problem explicitly. Also, we proved that there always exists a Pseudo-solution in security assignment problems, and if the solution exists, then the Pseudo-solution will coincide with it. The most important aspect of this paper is the introduction of the application of convex optimization in the security problem.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48829840","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}
{"title":"A Note on Skew Generalized Power Serieswise Reversible Property","authors":"E. Ali","doi":"10.28924/2291-8639-21-2023-69","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-69","url":null,"abstract":"The aim of this paper is to introduce and study (S, ω)-nil-reversible rings wherein we call a ring R is (S, ω)-nil-reversible if the left and right annihilators of every nilpotent element of R are equal. The researcher obtains various necessary or sufficient conditions for (S, ω)-nil-reversible rings are abelian, 2-primal, (S, ω)-nil-semicommutative and (S, ω)-nil-Armendariz. Also, he proved that, if R is completely (S, ω)-compatible (S, ω)-nil-reversible and J an ideal consisting of nilpotent elements of bounded index ≤ n in R, then R/J is (S, ¯ω)-nil-reversible. Moreover, other standard rings-theoretic properties are given.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46444515","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}
{"title":"Investigation Factors of Brand Personality Affecting on Purchase Intentions Towards Authentic Agricultural Products in Vietnam","authors":"Tuong-Vi Thi Tran, Quang Nhut Ho, Nhu-Ty Nguyen, Truong-Phuc Le, Hoai-Anh Duc Nguyen","doi":"10.28924/2291-8639-21-2023-70","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-70","url":null,"abstract":"This study investigates how theoretical framework for brand personality ([1]) influence on authentic agricultural products purchase intention. The model is operationalized by a quantitative method process with SPSS and AMOS software. The survey was completed by 627 persons. Multiple regression demonstrated the factors of brand personality, brand equity; brand authenticity are important predictors of consumer purchase intention for authentic agricultural products. Consumer preference as the intermediator, with a positive weight, explains the purchase intention. The results are also analyzed in different circumstances by monthly income and residence area in Vietnam. This study helps marketers examined how Vietnamese customers view their brands and their rivals therefore what competitors of these authentic agricultural brands can do to enhance the customer purchase intention. The purchase intention findings may be used to identify those brand personality attributes that appear to be most essential in explaining customer preferences.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44016595","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}
{"title":"Large Fractional Linear Type Differential Equations","authors":"M. A. Hammad, I. Jebril, R. Khalil","doi":"10.28924/2291-8639-21-2023-65","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-65","url":null,"abstract":"This paper aims to handle some types of fractional differential equations with a fractional-order values β>1. In particular, we propose a novel analytical solution called an atomic solution for certain fractional linear type differential equations as well as for some other types of partial differential equations with fractional-order values exceeding one. Some examples are provided to validate our findings.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48003319","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}
G. Srikanya, G. P. Babu, K. R. Rao, C. Santhi, S. Raj
{"title":"Fuzzy Initial and Final Segments in ADL’s","authors":"G. Srikanya, G. P. Babu, K. R. Rao, C. Santhi, S. Raj","doi":"10.28924/2291-8639-21-2023-67","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-67","url":null,"abstract":"In this paper, we define the concepts of fuzzy initial and final segments in an Almost Distributive Lattice (ADL) and certain properties of these are discussed. It is proved that the set of fuzzy initial segments forms a complete lattice and that the set of fuzzy final segments of an ADL A forms a complete lattice if and only if A is a bounded distributive lattice.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48997297","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}
M. Ahmad, Muhammad Jafar Hussain, Gulnaz Atta, Sajid Raza, Irfan Waheed, A. Qayyum
{"title":"Topological Evaluation of Four Para-Line Graphs Absolute Pentacene Graphs Using Topological Indices","authors":"M. Ahmad, Muhammad Jafar Hussain, Gulnaz Atta, Sajid Raza, Irfan Waheed, A. Qayyum","doi":"10.28924/2291-8639-21-2023-66","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-66","url":null,"abstract":"A real-number to molecular structure mapping is a topological index. It is a graph invariant method for describing physico-chemical properties of molecular structures specific substances. In that article, We examined pentacene’s chemical composition. The research on the subsequent indices is reflected in our paper, we conducted an analysis of several indices including general randic connectivity index, first general zagreb index, general sum-connectivity index, atomic bond connectivity index, geometric-arithmetic index, fifth class of geometric-arithmetic indices, hyper-zagreb index, first and second multiple zagreb indices for a four para-lines graphs of linear [n]-pentacene and multi-pentacene.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48598930","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}
{"title":"Hypersurfaces With a Common Geodesic Curve in 4D Euclidean space E4","authors":"S. H. Nazra","doi":"10.28924/2291-8639-21-2023-68","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-68","url":null,"abstract":"In this paper, we attain the problem of constructing hypersurfaces from a given geodesic curve in 4D Euclidean space E4. Using the Serret–Frenet frame of the given geodesic curve, we express the hypersurface as a linear combination of this frame and analyze the necessary and sufficient conditions for that curve to be geodesic. We illustrate this method by presenting some examples.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45376356","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}
Gadde S. Rao, D. Ramesh, Aiyared Iampan, B. Satyanarayana
{"title":"Fuzzy Soft Boolean Rings","authors":"Gadde S. Rao, D. Ramesh, Aiyared Iampan, B. Satyanarayana","doi":"10.28924/2291-8639-21-2023-60","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-60","url":null,"abstract":"This article introduces the idea of (fuzzy soft Boolean rings) FSBRs and investigates their algebraic properties. The concepts of fuzzy soft ideals (FSIs) of FSBRs, and idealistic fuzzy soft Boolean rings (IFSBRs) are then defined and discussed.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46762936","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}
{"title":"Best Proximity Point and Existence of the Positive Definite Solution for Matrix Equations","authors":"S. Jain, G. Meena, R. Jain","doi":"10.28924/2291-8639-21-2023-64","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-64","url":null,"abstract":"In this research, α − ψ − θ contraction has been defined to find the best proximity point in partially ordered metric spaces. Proper support for the result has been given in the form of a suitable example. The third part is fully devoted to the positive definite solution of matrix equations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42841485","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}