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Communications in Mathematical Analysis最新文献

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Generalized $F$-contractions in Partially Ordered Metric Spaces 部分序度量空间中的广义$F$-缩约
Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI: 10.22130/SCMA.2018.81871.398
S. Razavi, H. Masiha
{"title":"Generalized $F$-contractions in Partially Ordered Metric Spaces","authors":"S. Razavi, H. Masiha","doi":"10.22130/SCMA.2018.81871.398","DOIUrl":"https://doi.org/10.22130/SCMA.2018.81871.398","url":null,"abstract":"We discuss about the generalized $F$-contraction mappings in partially ordered metric spaces. For this, we first introduce the notion of ordered weakly $F$-contraction mapping. We also present some fixed point results about this type of mapping in partially ordered metric spaces. Next, we introduce the notion of $acute{mathrm{C}}$iri$acute{mathrm{c}}$ type generalized ordered weakly $F$-contraction mapping. We also prove some fixed point results about this notion in partially ordered metric spaces. We also provide an example to support our results. In fact, this example shows that our main theorem is a genuine generalization in the area of the generalized $F$-contraction mappings in partially ordered metric spaces.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49262671","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
$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework $L_{p；r}$空间：该框架下的Cauchy奇异积分、Hardy类和Riemann-Hilbert问题
Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI: 10.22130/SCMA.2018.81285.391
A. Huseynli, Asmar Mirzabalayeva
{"title":"$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework","authors":"A. Huseynli, Asmar Mirzabalayeva","doi":"10.22130/SCMA.2018.81285.391","DOIUrl":"https://doi.org/10.22130/SCMA.2018.81285.391","url":null,"abstract":"In the present work the space  $L_{p;r} $ which is continuously embedded into $L_{p} $  is introduced. The corresponding Hardy spaces of analytic functions are defined as well. Some properties of the functions from these spaces are studied. The analogs of some results in the classical theory of Hardy spaces are proved for the new spaces. It is shown that the Cauchy singular integral operator is bounded in $L_{p;r} $. The problem of basisness of the system  $left{Aleft(tright)e^{{mathop{rm int}} }; Bleft(tright)e^{-{mathop{rm int}} } right}_{nin Z_{+} }, $  is also considered. It is shown that under an additional condition this system forms a basis in $L_{p;r} $  if and only if the Riemann-Hilbert problem has a unique solution in corresponding Hardy class ${  H}_{p;r}^{+} times {  H}_{p;r}^{+} $.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49607850","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 Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators 求最大单调算子有限族公共零的近点算法
Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI: 10.22130/SCMA.2019.100821.542
Mohsen Tahernia, S. Moradi, S. Jafari
{"title":"A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators","authors":"Mohsen Tahernia, S. Moradi, S. Jafari","doi":"10.22130/SCMA.2019.100821.542","DOIUrl":"https://doi.org/10.22130/SCMA.2019.100821.542","url":null,"abstract":"In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be nonempty, and by showing that in this case, this iterative sequence converges strongly to the metric projection of some point onto the set of common zeros of operators.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44082152","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
Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain 与锥域相关的解析函数和双单价函数的一些子类的系数估计
Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI: 10.22130/SCMA.2018.87581.449
M. Tahir, N. Khan, Q. Z. Ahmad, B. Khan, Gul Mehtab Khan
{"title":"Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain","authors":"M. Tahir, N. Khan, Q. Z. Ahmad, B. Khan, Gul Mehtab Khan","doi":"10.22130/SCMA.2018.87581.449","DOIUrl":"https://doi.org/10.22130/SCMA.2018.87581.449","url":null,"abstract":"The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequences of our main results. We also point out relevant connections to some of the earlier known developments.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44283255","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: 2
Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space varepsilon -连通正交度量空间中的不动点理论
Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI: 10.22130/SCMA.2018.72368.289
M. Gordji, Hasti Habibi
{"title":"Fixed Point Theory in $varepsilon$-connected Orthogonal Metric Space","authors":"M. Gordji, Hasti Habibi","doi":"10.22130/SCMA.2018.72368.289","DOIUrl":"https://doi.org/10.22130/SCMA.2018.72368.289","url":null,"abstract":"The existence of fixed point in orthogonal metric spaces has been initiated by Eshaghi and et. al [7]. In this paper, we prove existence and uniqueness theorem of fixed point for mappings on $varepsilon$-connected orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point for analytic function of one complex variable. The paper concludes with some illustrating examples.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42537785","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
A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions 基于广义Psi模拟函数的Suzuki型收缩的一个新的公共不动点定理
Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI: 10.22130/SCMA.2018.78315.359
Gholamreza Heidary Joonaghany, A. Farajzadeh, M. Azhini, F. Khojasteh
{"title":"A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions","authors":"Gholamreza Heidary Joonaghany, A. Farajzadeh, M. Azhini, F. Khojasteh","doi":"10.22130/SCMA.2018.78315.359","DOIUrl":"https://doi.org/10.22130/SCMA.2018.78315.359","url":null,"abstract":"In this paper, a new stratification of mappings, which is  called $Psi$-simulation functions, is introduced  to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples are furnished to demonstrate the validity of the hypothesis of our results and reality of our generalizations.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45568035","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: 10
Coefficient Bounds for Analytic bi-Bazileviv{c} Functions Related to Shell-like Curves Connected with Fibonacci Numbers 与Fibonacci数连接的类壳曲线相关的解析bi-Bazileviv{c}函数的系数界
Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI: 10.22130/SCMA.2018.82266.401
H. Guney
{"title":"Coefficient Bounds for Analytic bi-Bazileviv{c} Functions Related to Shell-like Curves Connected with Fibonacci Numbers","authors":"H. Guney","doi":"10.22130/SCMA.2018.82266.401","DOIUrl":"https://doi.org/10.22130/SCMA.2018.82266.401","url":null,"abstract":"In this paper, we define and investigate a new class of bi-Bazilevic functions related to shell-like curves connected with Fibonacci numbers.  Furthermore, we find estimates of first two coefficients of functions belonging to this class. Also, we give the Fekete-Szegoinequality for this function class.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48378463","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: 5
Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces 模糊赋范空间中直径近似最佳接近对
Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI: 10.22130/SCMA.2018.83850.420
S. Mohsenialhosseini, M. Saheli
{"title":"Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces","authors":"S. Mohsenialhosseini, M. Saheli","doi":"10.22130/SCMA.2018.83850.420","DOIUrl":"https://doi.org/10.22130/SCMA.2018.83850.420","url":null,"abstract":"The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. Using these results, we prove theorems for various types of well-known generalized contractions in  fuzzy normed spaces. Also, we apply our results to get an application of approximate fixed point and approximate best proximity pair theorem of their diameter.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44777461","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
Some Results about the Contractions and the Pendant Pairs of a Submodular System 关于子模系统的收缩和垂对的一些结果
Communications in Mathematical Analysis Pub Date : 2019-10-01 DOI: 10.22130/SCMA.2018.91924.481
Saeid Hanifehnezhad, Ardeshir Dolati
{"title":"Some Results about the Contractions and the Pendant Pairs of a Submodular System","authors":"Saeid Hanifehnezhad, Ardeshir Dolati","doi":"10.22130/SCMA.2018.91924.481","DOIUrl":"https://doi.org/10.22130/SCMA.2018.91924.481","url":null,"abstract":"Submodularity is an important  property of set functions with deep theoretical results  and various  applications. Submodular systems appear in many applicable area, for example machine learning, economics, computer vision, social science, game theory and combinatorial optimization.  Nowadays submodular functions optimization has been attracted by many researchers.  Pendant pairs of a symmetric submodular system  play  essential role  in finding a minimizer of this system.  In this paper,  we investigate some relations between pendant  pairs of  a  submodular  system and pendant pairs of its contractions. For a symmetric submodular system $left(V,fright)$ we construct a suitable sequence of $left|Vright|-1$ pendant pairs of its contractions. By using this sequence, we present some properties of the system and its contractions. Finally, we prove some results about the minimizers of a posimodular function.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42003194","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
Simple Construction of a Frame which is $epsilon$-nearly Parseval and $epsilon$-nearly Unit Norm -近Parseval和-近单位范数框架的简单构造
Communications in Mathematical Analysis Pub Date : 2019-07-30 DOI: 10.22130/scma.2018.79613.374
H. Fard, Mohammad Ali
{"title":"Simple Construction of a Frame which is $epsilon$-nearly Parseval and $epsilon$-nearly Unit Norm","authors":"H. Fard, Mohammad Ali","doi":"10.22130/scma.2018.79613.374","DOIUrl":"https://doi.org/10.22130/scma.2018.79613.374","url":null,"abstract":"In this paper, we will provide a simple method for starting with a given finite frame for an $n$-dimensional Hilbert space $mathcal{H}_n$ with nonzero elements and producing a frame which is $epsilon$-nearly Parseval and $epsilon$-nearly unit norm. Also, the concept of the $epsilon$-nearly equal frame operators for two given frames is presented. Moreover, we characterize all bounded invertible operators $T$ on the finite or infinite dimensional Hilbert space $mathcal{H}$ such that $left{f_kright}_{k=1}^infty$ and $left{Tf_kright}_{k=1}^infty$ are $epsilon$-nearly equal frame operators, where $left{f_kright}_{k=1}^infty$ is a frame for $mathcal{H}$. Finally, we introduce and characterize all operator dual Parseval frames of a given Parseval frame.","PeriodicalId":38924,"journal":{"name":"Communications in Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2019-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41401822","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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