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Open Journal of Mathematical Analysis最新文献

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Some fixed point theorems for (F)-expansive mapping in generalized metric spaces 广义度量空间中(F) -扩张映射的不动点定理
Open Journal of Mathematical Analysis Pub Date : 2021-08-13 DOI: 10.30538/psrp-oma2021.0090
M. Rossafi, A. Kari
{"title":"Some fixed point theorems for (F)-expansive mapping in generalized metric spaces","authors":"M. Rossafi, A. Kari","doi":"10.30538/psrp-oma2021.0090","DOIUrl":"https://doi.org/10.30538/psrp-oma2021.0090","url":null,"abstract":"In this paper, we present the notion of generalized (F)-expansive mapping incomplete rectangular metric spaces and study various fixed point theorems for such mappings. The findings of this paper, generalize and improve many existing results in the literature.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42199588","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}
引用次数: 1
The hyper order and fixed points of solutions of a class of linear differential equations 一类线性微分方程解的超阶不动点
Open Journal of Mathematical Analysis Pub Date : 2021-08-12 DOI: 10.30538/psrp-oma2021.0089
Nour El Imane Khadidja Cheriet, B. Belaïdi
{"title":"The hyper order and fixed points of solutions of a class of linear differential equations","authors":"Nour El Imane Khadidja Cheriet, B. Belaïdi","doi":"10.30538/psrp-oma2021.0089","DOIUrl":"https://doi.org/10.30538/psrp-oma2021.0089","url":null,"abstract":"In this paper, we precise the hyper order of solutions for a class of higher-order linear differential equations and investigate the exponents of convergence of the fixed points of solutions and their first derivatives for the second-order case. These results generalize those of Nan Li and Lianzhong Yang and of Chen and Shon.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46046716","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}
引用次数: 0
A study of the power-cosine copula 幂余弦共轭的研究
Open Journal of Mathematical Analysis Pub Date : 2021-06-29 DOI: 10.30538/psrp-oma2021.0086
C. Chesneau
{"title":"A study of the power-cosine copula","authors":"C. Chesneau","doi":"10.30538/psrp-oma2021.0086","DOIUrl":"https://doi.org/10.30538/psrp-oma2021.0086","url":null,"abstract":"Copulas played a key role in numerous areas of statistics over the last few decades. In this paper, we offer a new kind of trigonometric bivariate copula based on power and cosine functions. We present it via analytical and graphical approaches. We show that it may be used to create a new bivariate normal distribution with interesting shapes. Subsequently, the simplest version of the suggested copula is highlighted. We discuss some of its relationships with the Farlie-Gumbel-Morgensten and simple polynomial-sine copulas, establish that it is a member of a well-known semi-parametric family of copulas, investigate its dependence domains, and show that it has no tail dependence.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69238008","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}
引用次数: 4
Characterization of orthogonality conditions in certain classes of normed spaces 一类赋范空间中正交性条件的刻画
Open Journal of Mathematical Analysis Pub Date : 2021-06-29 DOI: 10.30538/psrp-oma2021.0087
W. L. Otae, N. B. Okelo, O. Ongati
{"title":"Characterization of orthogonality conditions in certain classes of normed spaces","authors":"W. L. Otae, N. B. Okelo, O. Ongati","doi":"10.30538/psrp-oma2021.0087","DOIUrl":"https://doi.org/10.30538/psrp-oma2021.0087","url":null,"abstract":"In this paper, we give characterizations of orthogonality conditions in certain classes of normed spaces. We first consider Range-Kernel orthogonality in norm-attainable classes then we characterize orthogonality conditions for Jordan elementary operators.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48976266","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}
引用次数: 0
On generalization of extended Gegenbauer polynomials of two variables 二元扩展Gegenbauer多项式的推广
Open Journal of Mathematical Analysis Pub Date : 2021-06-11 DOI: 10.30538/psrp-oma2021.0085
A. Al-Gonah, Ahmed Ali Atash
{"title":"On generalization of extended Gegenbauer polynomials of two variables","authors":"A. Al-Gonah, Ahmed Ali Atash","doi":"10.30538/psrp-oma2021.0085","DOIUrl":"https://doi.org/10.30538/psrp-oma2021.0085","url":null,"abstract":"Recently, many extensions of some special functions are defined by using the extended Beta function. In this paper, we introduce a new generalization of extended Gegenbauer polynomials of two variables by using the extended Gamma function. Some properties of these generalized polynomials such as integral representation, recurrence relation and generating functions are obtained.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46684849","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}
引用次数: 0
Fixed point theorems for generalized (left( psi ,varphi ,Fright) )-contraction type mappings in (b)-metric spaces with applications (b) -度量空间中广义(left( psi ,varphi ,Fright) ) -收缩型映射的不动点定理及其应用
Open Journal of Mathematical Analysis Pub Date : 2021-01-01 DOI: 10.30538/psrp-oma2021.0080
T. Hamaizia
{"title":"Fixed point theorems for generalized (left( psi ,varphi ,Fright) )-contraction type mappings in (b)-metric spaces with applications","authors":"T. Hamaizia","doi":"10.30538/psrp-oma2021.0080","DOIUrl":"https://doi.org/10.30538/psrp-oma2021.0080","url":null,"abstract":"The purpose of this paper is to prove a fixed point theorem for (C)-class functions in complete (b)-metric spaces. Moreover, the solution of the integral equation is obtained using our main result.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69237999","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}
引用次数: 0
On properties of inner product type integral transformers 内积式积分变压器的特性
Open Journal of Mathematical Analysis Pub Date : 2020-12-27 DOI: 10.30538/PSRP-OMA2020.0075
Benard Okelo
{"title":"On properties of inner product type integral transformers","authors":"Benard Okelo","doi":"10.30538/PSRP-OMA2020.0075","DOIUrl":"https://doi.org/10.30538/PSRP-OMA2020.0075","url":null,"abstract":"In this paper, we give characterizations of certain properties of inner product type integral transformers. We first consider unitarily invariant norms and operator valued functions. We then give results on norm inequalities for inner product type integral transformers in terms of Landau inequality, Grüss inequality. Lastly, we explore some of the applications in quantum theory.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49403830","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}
引用次数: 1
Some applications of second-order differential subordination for a class of analytic function defined by the lambda operator lambda算子定义的一类解析函数的二阶微分从属关系的一些应用
Open Journal of Mathematical Analysis Pub Date : 2020-12-27 DOI: 10.30538/PSRP-OMA2020.0076
B. Venkateswarlu, P. Reddy, Sujatha S. Sridevi
{"title":"Some applications of second-order differential subordination for a class of analytic function defined by the lambda operator","authors":"B. Venkateswarlu, P. Reddy, Sujatha S. Sridevi","doi":"10.30538/PSRP-OMA2020.0076","DOIUrl":"https://doi.org/10.30538/PSRP-OMA2020.0076","url":null,"abstract":"In this paper, we introduce a new class of analytic functions by using the lambda operator and obtain some subordination results.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47727953","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}
引用次数: 0
Boundary value problems for a class of stochastic nonlinear fractional order differential equations 一类随机非线性分数阶微分方程的边值问题
Open Journal of Mathematical Analysis Pub Date : 2020-12-21 DOI: 10.30538/PSRP-OMA2020.0074
M. Omaba, L. Omenyi
{"title":"Boundary value problems for a class of stochastic nonlinear fractional order differential equations","authors":"M. Omaba, L. Omenyi","doi":"10.30538/PSRP-OMA2020.0074","DOIUrl":"https://doi.org/10.30538/PSRP-OMA2020.0074","url":null,"abstract":"Consider a class of two-point Boundary Value Problems (BVP) for a stochastic nonlinear fractional order differential equation (D^alpha u(t)=lambdasqrt{I^beta[sigma^2(t,u(t))]}dot{w}(t)  ,0< t< 1) with boundary conditions (u(0)=0,,,u'(0)=u'(1)=0,) where (lambda>0) is a level of the noise term, (sigma:[0,1]timesmathbb{R}rightarrowmathbb{R}) is continuous, (dot{w}(t)) is a generalized derivative of Wiener process (Gaussian white noise), (D^alpha) is the Riemann-Liouville fractional differential operator of order (alphain (3,4)) and (I^beta,,,beta>0) is a fractional integral operator. We formulate the solution of the equation via a stochastic Volterra-type equation and investigate its existence and uniqueness under some precise linearity conditions using contraction fixed point theorem. A case of the above BVP for a stochastic nonlinear second order differential equation for (alpha=2) and (beta=0) with (u(0)=u(1)=0) is also studied.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42552531","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}
引用次数: 0
Common fixed point results of $s$-$alpha $ contraction for a pair of maps in $b$-dislocated metric spaces $b$位错度量空间中一对映射的$s$-$ α $收缩的公共不动点结果
Open Journal of Mathematical Analysis Pub Date : 2020-12-16 DOI: 10.30538/PSRP-OMA2020.0073
Abdissa Fekadu, Kidane Koyas, S. Gebregiorgis
{"title":"Common fixed point results of $s$-$alpha $ contraction for a pair of maps in $b$-dislocated metric spaces","authors":"Abdissa Fekadu, Kidane Koyas, S. Gebregiorgis","doi":"10.30538/PSRP-OMA2020.0073","DOIUrl":"https://doi.org/10.30538/PSRP-OMA2020.0073","url":null,"abstract":"The purpose of this article is to construct fixed point theorems and prove the existence and uniqueness of common fixed point results of ( s-alpha ) contraction for a pair of maps in the setting of ( b ) - dislocated metric spaces. Our results extend and generalize several well-known comparable results in the literature. The study procedure we used was that of Zoto and Kumari [1]. Furthermore, we provided an example in support of our main result.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45549502","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}
引用次数: 0
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