Asymptotically Nonexpansive, Mappings J. Robert Dhiliban, A. Eldred
{"title":"Strong and ∆-Convergence of a New Iteration for Common Fixed Points of Two Asymptotically Nonexpansive Mappings","authors":"Asymptotically Nonexpansive, Mappings J. Robert Dhiliban, A. Eldred","doi":"10.28924/2291-8639-21-2023-62","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-62","url":null,"abstract":"The purpose of this paper is to study strong and ∆ - convergence of a newly defined iteration to a common fixed point of two asymptotically nonexpansive self mappings in a hyperbolic space framework. We provide an example and a comparison table to support our assertions.","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":"46843341","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":"Optimality Conditions for Set-Valued Optimization Problems","authors":"R. Zeng","doi":"10.28924/2291-8639-21-2023-63","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-63","url":null,"abstract":"In this paper, we first prove that the generalized subconvexlikeness introduced by Yang, Yang and Chen [1] and the presubconvelikeness introduced by Zeng [2] are equivalent. We discuss set-valued nonconvex optimization problems and obtain some optimality conditions.","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":"46785051","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":"Powered Inverse Rayleigh Distribution Using DUS Transformation","authors":"M. I. Khan, A. Mustafa","doi":"10.28924/2291-8639-21-2023-61","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-61","url":null,"abstract":"This article reports an extension of powered inverse Rayleigh distribution via DUS transformation, named DUS-Powered Inverse Rayleigh (DUS-PIR) distribution. Some statistical properties of suggested distribution in particular, moments, mode, quantiles, order statistics, entropy, inequality measures and stress-strength parameter have been investigated extensively. To estimate the parameters, maximum likelihood estimation (MLE) is discussed. The model superiority is verified through two real datasets.","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":"41894648","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 PDE Approach to the Problems of Optimality of Expectations","authors":"M. Hasanov","doi":"10.28924/2291-8639-21-2023-57","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-57","url":null,"abstract":"Let (X, Z) be a bivariate random vector. A predictor of X based on Z is just a Borel function g(Z). The problem of \"least squares prediction\" of X given the observation Z is to find the global minimum point of the functional E[(X − g(Z))2] with respect to all random variables g(Z), where g is a Borel function. It is well known that the solution of this problem is the conditional expectation E(X|Z). We also know that, if for a nonnegative smooth function F: R×R → R, arg ming(Z)E[F(X, g(Z))] = E[X|Z], for all X and Z, then F(x, y) is a Bregmann loss function. It is also of interest, for a fixed ϕ to find F (x, y), satisfying, arg ming(Z)E[F(X, g(Z))] = ϕ(E[X|Z]), for all X and Z. In more general setting, a stronger problem is to find F (x, y) satisfying arg miny∈RE[F (X, y)] = ϕ(E[X]), ∀X. We study this problem and develop a partial differential equation (PDE) approach to solution of these problems.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45112015","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}
Aiyared Iampan, A. Satirad, R. Chinram, R. Prasertpong, P. Julatha
{"title":"Lattice Valued Fuzzy Sets in UP (BCC)-Algebras","authors":"Aiyared Iampan, A. Satirad, R. Chinram, R. Prasertpong, P. Julatha","doi":"10.28924/2291-8639-21-2023-59","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-59","url":null,"abstract":"The aim of this paper is to apply the concept of L-fuzzy sets (LFSs) to UP (BCC)-algebras and introduce five types of LFSs in UP (BCC)-algebras: L-fuzzy UP (BCC)-subalgebras, L-fuzzy near UP (BCC)-filters, L-fuzzy UP (BCC)-filters, L-fuzzy UP (BCC)-ideals, and L-fuzzy strong UP (BCC)-ideals. Also, we study the characteristic LFSs, t-level subsets, and the Cartesian product of LFSs in UP (BCC)-algebras.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42761809","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":"Analysis of the Logistic Growth Model With Taylor Matrix and Collocation Method","authors":"Elçin Çelik, Deniz Uçar","doi":"10.28924/2291-8639-21-2023-58","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-58","url":null,"abstract":"Early analysis of infectious diseases is very important in the spread of the disease. The main aim of this study is to make important predictions and inferences for Covid 19, which is the current epidemic disease, with mathematical modeling and numerical solution methods. So we deal with the logistic growth model. We obtain carrying capacity and growth rate with Turkey epidemic data. The obtained growth rate and carrying capacity is used in the Taylor collocation method. With this method, we estimate and making predictions close to reality with Maple. We also show the estimates made with the help of graphics and tables.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46952886","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}
Safa Gherian, Abdelaziz Azeb Ahmed, F. Yazid, F.S. Djeradi
{"title":"Frictional Contact Problem With Wear for Thermo-Viscoelastic Materials With Damage","authors":"Safa Gherian, Abdelaziz Azeb Ahmed, F. Yazid, F.S. Djeradi","doi":"10.28924/2291-8639-21-2023-56","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-56","url":null,"abstract":"We consider a mathematical model which describes a dynamic frictional contact problem for thermo-viscoelastic materials with long memory and damage. The contact is modeled by the normal compliance condition and wear between surfaces are taken into account. We establish a variational formulation for the model and prove the existence and uniqueness of the weak solution. The proof is based on arguments of hyperbolic nonlinear differential equations, parabolic variational inequalities and Banach fixed point.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49592957","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":"Existence of Solutions via C-Class Functions in Ab-Metric Spaces With Applications","authors":"N. Mangapathi, B. Rao, K. Rao, M. I. Pasha","doi":"10.28924/2291-8639-21-2023-55","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-55","url":null,"abstract":"Using C-class functions, we demonstrate a few popular common coupled fixed point theorems on Ab-metric spaces and discuss some implications of the main findings. Additionally, we provide examples to illustrate the findings and their applications to both homotopy theory and integral equations.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41701640","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":"Doubt m-Polar Fuzzy Sets Based on BCK-Algebras","authors":"Bayan Albishry, Sarah O. Alshehri, N. Zeyada","doi":"10.28924/2291-8639-21-2023-53","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-53","url":null,"abstract":"Doubt m-polar subalgebras (ideals) were introduced and some properties were investigated. Also, doubt m-polar positive implicative (commutative) ideals were defined and related results were proved.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48625702","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":"On the Exponential Stability of the Implicit Differential Systems in Hilbert Spaces","authors":"N. Beghersa, M. Benabdallah, Mohamed Hariri","doi":"10.28924/2291-8639-21-2023-54","DOIUrl":"https://doi.org/10.28924/2291-8639-21-2023-54","url":null,"abstract":"The aim of this research is to study the exponential stability of the stationary implicit system: Ax’(t) + Bx(t) = 0, where A and B are bounded operators in Hilbert spaces. The achieved results are the generalization of Liapounov Theorem for the spectrum of the operator pencil λA + B. We also establish the exponential stability conditions for the corresponding perturbed and quasi-linear implicit systems.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":" ","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42060621","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}