Pub Date : 2020-03-14DOI: 10.3844/jmssp.2020.47.53
Sahar Mohamed Ali Abou Bakr
This paper shows that if S and T are two joint generalized cyclic F-Ψ-ɸ-Λ weak nonexpansive type mappings, then they have only one common fixed point. In particular, every generalized cyclic C class Ψ-ɸ-Λ weak nonexpansive mapping has a unique fixed point. Hence it extends the results of the attached references of this paper.
本文证明了如果S和T是两个联合广义循环F-Ψ- h -Λ弱非膨胀型映射，则它们只有一个公共不动点。特别地，每一个广义循环C类Ψ- h -Λ弱非膨胀映射都有一个唯一不动点。从而推广了本文所附参考文献的结果。
{"title":"Common Fixed Points of Generalized Cyclic C Class Ψ-ɸ-Λ Weak Nonexpansive Mappings","authors":"Sahar Mohamed Ali Abou Bakr","doi":"10.3844/jmssp.2020.47.53","DOIUrl":"https://doi.org/10.3844/jmssp.2020.47.53","url":null,"abstract":"This paper shows that if S and T are two joint generalized cyclic F-Ψ-ɸ-Λ weak nonexpansive type mappings, then they have only one common fixed point. In particular, every generalized cyclic C class Ψ-ɸ-Λ weak nonexpansive mapping has a unique fixed point. Hence it extends the results of the attached references of this paper.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"93 1","pages":"47-53"},"PeriodicalIF":0.3,"publicationDate":"2020-03-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84868119","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 : 2020-02-07DOI: 10.3844/JMSSP.2020.35.46
H. Patel, V. Shah
The Article Propose An Efficacious Fault Tolerant Control (FTC) Strategy Using The Hybrid Controller Structure To Establish Stable And Tracking Control With Two Faults Constrain In The Area Of Two Tank Canonical Non-Interacting Level Control System (TTCNILCS). Many Process Industries Use Canonical Tanks Because Of Its Varying Cross-Section Area Which Contributes Better Throughput From An Outlet For Different Material. Hence TTCNILCS Exhibit Nonlinear Behavior Because Of Its Changing Cross Section Area. The Problem Of Passive FTC (PFTC) For The TTCNILCS With The Unknown Actuator And Sensor Fault Is Investigated. The Actuator And Sensor Fault Is Assumed To Have No Traditional Affine Appearance Of The System And Control Input. Hybrid Controller (Neural Network Plus PID Controller) Is Used To Design PFTC And Implement To Achieve Satisfactory Steady-State Performance From TTCNILCS. The Effectiveness Of The Proposed Controller Validate From The Simulation Results And Errors Like MSE, ISE And ITAE.
{"title":"Passive Approach for Fault Tolerant Controller Using Hybrid Controller Structure for Effective Level Control of Conical Tank System","authors":"H. Patel, V. Shah","doi":"10.3844/JMSSP.2020.35.46","DOIUrl":"https://doi.org/10.3844/JMSSP.2020.35.46","url":null,"abstract":"The Article Propose An Efficacious Fault Tolerant Control (FTC) Strategy Using The Hybrid Controller Structure To Establish Stable And Tracking Control With Two Faults Constrain In The Area Of Two Tank Canonical Non-Interacting Level Control System (TTCNILCS). Many Process Industries Use Canonical Tanks Because Of Its Varying Cross-Section Area Which Contributes Better Throughput From An Outlet For Different Material. Hence TTCNILCS Exhibit Nonlinear Behavior Because Of Its Changing Cross Section Area. The Problem Of Passive FTC (PFTC) For The TTCNILCS With The Unknown Actuator And Sensor Fault Is Investigated. The Actuator And Sensor Fault Is Assumed To Have No Traditional Affine Appearance Of The System And Control Input. Hybrid Controller (Neural Network Plus PID Controller) Is Used To Design PFTC And Implement To Achieve Satisfactory Steady-State Performance From TTCNILCS. The Effectiveness Of The Proposed Controller Validate From The Simulation Results And Errors Like MSE, ISE And ITAE.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"155 1","pages":"35-46"},"PeriodicalIF":0.3,"publicationDate":"2020-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75395339","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 : 2020-01-27DOI: 10.3844/JMSSP.2020.24.34
Xingbo Wang, Junjian Zhong
The paper proves that an odd composite integer N can be factorized in O((log2N)4) bit operations if N = pq, the divisor q is of the form 2αu +1 or 2αu-1 with u being an odd integer and α being a positive integer and the other divisor p satisfies 1 < p ≤ 2α+1 or 2α +1 < p ≤ 2α+1-1. Theorems and corollaries are proved with detail mathematical reasoning. Algorithm to factorize the odd composite integers is designed and tested in Maple. The results in the paper demonstrate that fast factorization of odd integers is possible with the help of valuated binary tree.
{"title":"Fast Approach to Factorize Odd Integers with Special Divisors","authors":"Xingbo Wang, Junjian Zhong","doi":"10.3844/JMSSP.2020.24.34","DOIUrl":"https://doi.org/10.3844/JMSSP.2020.24.34","url":null,"abstract":"The paper proves that an odd composite integer N can be factorized in O((log2N)4) bit operations if N = pq, the divisor q is of the form 2αu +1 or 2αu-1 with u being an odd integer and α being a positive integer and the other divisor p satisfies 1 < p ≤ 2α+1 or 2α +1 < p ≤ 2α+1-1. Theorems and corollaries are proved with detail mathematical reasoning. Algorithm to factorize the odd composite integers is designed and tested in Maple. The results in the paper demonstrate that fast factorization of odd integers is possible with the help of valuated binary tree.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"85 1","pages":"24-34"},"PeriodicalIF":0.3,"publicationDate":"2020-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79125396","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":"The q-Riccati Algebra","authors":"Amna Hasan, Hakeem A. Othman, Sami H. Altoum","doi":"10.3844/JMSSP.2020.20.23","DOIUrl":"https://doi.org/10.3844/JMSSP.2020.20.23","url":null,"abstract":"For q∈(0, 1), we introduce the q-Riccati Lie algebra. Using the q-derivative (or Jackson derivative), we give a representation of this Lie algebra.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"27 1","pages":"20-23"},"PeriodicalIF":0.3,"publicationDate":"2020-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72552952","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 reliability of the results of sensory analysis is directly linked to the performance of panel of assessors what, in general, means the ability of judges to identify small differences between products, the replicability of their ratings for the same product and the panel consonance. The panel consonance - usually called unidimensionality - can be understood as the agreement between the judges, thus it reflects the degree of training. Several methods have been proposed for assessing panel unidimensionality but always checking one attribute at a time. We proposed a generalization of the unidimensionality concept based on canonical correlation and enabling to consider several attributes simultaneously.
{"title":"Canonical Correlation-based Tests for the Agreement of Sensory Panelists","authors":"M. C. Rocha, E. Ferreira, D. F. Ferreira","doi":"10.3844/JMSSP.2020.9.19","DOIUrl":"https://doi.org/10.3844/JMSSP.2020.9.19","url":null,"abstract":"The reliability of the results of sensory analysis is directly linked to the performance of panel of assessors what, in general, means the ability of judges to identify small differences between products, the replicability of their ratings for the same product and the panel consonance. The panel consonance - usually called unidimensionality - can be understood as the agreement between the judges, thus it reflects the degree of training. Several methods have been proposed for assessing panel unidimensionality but always checking one attribute at a time. We proposed a generalization of the unidimensionality concept based on canonical correlation and enabling to consider several attributes simultaneously.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"81 1","pages":"9-19"},"PeriodicalIF":0.3,"publicationDate":"2020-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79439112","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 : 2020-01-01DOI: 10.3844/jmssp.2020.170.175
Tomoyuki Nakagawa, Toshiki Takei, Aki Ishii, S. Tomizawa
For square contingency tables, some studies have developed the weighted arithmetic mean type measure to represent the degree of departure from the marginal homogeneity. The present paper proposes (1) the cumulative partial marginal homogeneity model which has the weaker restriction than the marginal homogeneity model and (2) the measure to represent the degree of departure from the proposed model. The measure is expressed as a weighted geometric mean of the diversity index. Finally, numerical studies are presented.
{"title":"Geometric Mean Type Measure of Marginal Homogeneity for Square Contingency Tables with Ordered Categories","authors":"Tomoyuki Nakagawa, Toshiki Takei, Aki Ishii, S. Tomizawa","doi":"10.3844/jmssp.2020.170.175","DOIUrl":"https://doi.org/10.3844/jmssp.2020.170.175","url":null,"abstract":"For square contingency tables, some studies have developed the weighted arithmetic mean type measure to represent the degree of departure from the marginal homogeneity. The present paper proposes (1) the cumulative partial marginal homogeneity model which has the weaker restriction than the marginal homogeneity model and (2) the measure to represent the degree of departure from the proposed model. The measure is expressed as a weighted geometric mean of the diversity index. Finally, numerical studies are presented.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"10 1","pages":"170-175"},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74916474","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 : 2020-01-01DOI: 10.3844/jmssp.2020.125.132
H. Zahed
In this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems: (P)where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on and f(x, s) is asymptotically linear in s at infinity, that is = l < ∞. We will prove that the problem (P) has a positive solution for l large enough and does not have positive solutions for l less than the first eigenvalue of the operator. We prove also that the method works for the case when f(x, s) is sub-critical and super-linear at +∞.2010 Mathematics Subject classification: 35J05, 35J65, 35J20, 35J60, 35K57, 35J70.
本文研究了以下非线性椭圆型问题的正解的存在性和不存在性:(P)其中，Ω是一个正则有界域，N≥2,a(x)是上的光滑函数，f(x, s)在s无穷远处渐近线性，即= l <∞。我们将证明问题(P)对于l有一个足够大的正解，并且对于l小于算子的第一个特征值没有正解。我们还证明了该方法适用于f(x, s)在+∞上是次临界和超线性的情况数学学科分类:35J05、35J65、35J20、35J60、35K57、35J70。
{"title":"Positive Solutions for Some Weighted Elliptic Problems","authors":"H. Zahed","doi":"10.3844/jmssp.2020.125.132","DOIUrl":"https://doi.org/10.3844/jmssp.2020.125.132","url":null,"abstract":"In this study, we study the existence and the nonexistence of positive solutions for the following nonlinear elliptic problems: (P)where, Ω is a regular bounded domain in ℝ , N ≥ 2, a(x) is a smooth function on and f(x, s) is asymptotically linear in s at infinity, that is = l < ∞. We will prove that the problem (P) has a positive solution for l large enough and does not have positive solutions for l less than the first eigenvalue of the operator. We prove also that the method works for the case when f(x, s) is sub-critical and super-linear at +∞.2010 Mathematics Subject classification: 35J05, 35J65, 35J20, 35J60, 35K57, 35J70.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"35 1","pages":"125-132"},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85067926","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 : 2020-01-01DOI: 10.3844/jmssp.2020.113.124
Hussein Eledum
In this study, we introduce two new generalized versions of the Exponentiated Pareto-I distribution called (CTEP-I-G) and (CTEP-I-R). Statistical properties of the two distributions such as reliability function, hazard function, moments and moment generating function are studied. Models parameters are estimated by the maximum likelihood method. Finally, an application of CTEP-I-G and CTEP-I-R distributions to two real datasets and compared with some distributions based on exponentiated Pareto-I distribution is illustrated. The applications suggest that the CTEP-I-G performs better than CTEP-I-R.
{"title":"Some Cubic Transmuted Exponentiated Pareto-1 Distribution","authors":"Hussein Eledum","doi":"10.3844/jmssp.2020.113.124","DOIUrl":"https://doi.org/10.3844/jmssp.2020.113.124","url":null,"abstract":"In this study, we introduce two new generalized versions of the Exponentiated Pareto-I distribution called (CTEP-I-G) and (CTEP-I-R). Statistical properties of the two distributions such as reliability function, hazard function, moments and moment generating function are studied. Models parameters are estimated by the maximum likelihood method. Finally, an application of CTEP-I-G and CTEP-I-R distributions to two real datasets and compared with some distributions based on exponentiated Pareto-I distribution is illustrated. The applications suggest that the CTEP-I-G performs better than CTEP-I-R.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"22 1","pages":"113-124"},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89904488","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 : 2020-01-01DOI: 10.3844/jmssp.2020.161.169
C. L. Ejikeme, M. Abbas, D. F. Agbebaku
This paper deals with the approximate solutions of accretive maps in a uniformly convex Banach space. A weak convergence of a three - step iterative scheme involving the resolvents of accretive operators is proved. The main result is applied to a convex minimization problem in Hilbert spaces. In particular, the minimizer of a convex and proper lower semi-continuous function defined in a Hilbert space was obtained. Numerical illustration with graphical display of the convergence of the sequence obtained from the iterative scheme is also presented.
{"title":"Convergence Results for Fixed Point Problems of Accretive Operators in Banach Spaces","authors":"C. L. Ejikeme, M. Abbas, D. F. Agbebaku","doi":"10.3844/jmssp.2020.161.169","DOIUrl":"https://doi.org/10.3844/jmssp.2020.161.169","url":null,"abstract":"This paper deals with the approximate solutions of accretive maps in a uniformly convex Banach space. A weak convergence of a three - step iterative scheme involving the resolvents of accretive operators is proved. The main result is applied to a convex minimization problem in Hilbert spaces. In particular, the minimizer of a convex and proper lower semi-continuous function defined in a Hilbert space was obtained. Numerical illustration with graphical display of the convergence of the sequence obtained from the iterative scheme is also presented.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"46 1","pages":"161-169"},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88167569","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 : 2020-01-01DOI: 10.3844/jmssp.2020.133.141
P. M. Bajracharya, Bhuwan Prasad Ojha
Let x, y ∈ X, where X is an inner-product space. We say x is orthogonal to y if ⟨x, y⟩ = 0. When we move to general normed spaces there are many possibilities of extending the notion of orthogonality. Since 1934, different types of orthogonality relations in normed spaces have been introduced and studied. In this study, we enlist some properties of Birkhoff's orthogonality and Carlsson's orthogonality along with it we introduce two new particular cases of Carlsson's orthogonality and check some properties of othogonality in relation to these particular cases in normed spaces.
{"title":"Birkhoff Orthogonality and Different Particular Cases of Carlsson's Orthogonality on Normed Linear Spaces","authors":"P. M. Bajracharya, Bhuwan Prasad Ojha","doi":"10.3844/jmssp.2020.133.141","DOIUrl":"https://doi.org/10.3844/jmssp.2020.133.141","url":null,"abstract":"Let x, y ∈ X, where X is an inner-product space. We say x is orthogonal to y if ⟨x, y⟩ = 0. When we move to general normed spaces there are many possibilities of extending the notion of orthogonality. Since 1934, different types of orthogonality relations in normed spaces have been introduced and studied. In this study, we enlist some properties of Birkhoff's orthogonality and Carlsson's orthogonality along with it we introduce two new particular cases of Carlsson's orthogonality and check some properties of othogonality in relation to these particular cases in normed spaces.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"21 1","pages":"133-141"},"PeriodicalIF":0.3,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90965213","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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