Pub Date : 2024-01-01DOI: 10.21608/ejmaa.2024.263684.1120
A. M. Yehia, S. Madian, M. M. Tharwat
{"title":"Class of Meromorphic Functions Related to New Operator","authors":"A. M. Yehia, S. Madian, M. M. Tharwat","doi":"10.21608/ejmaa.2024.263684.1120","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.263684.1120","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140516523","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 : 2024-01-01DOI: 10.21608/ejmaa.2024.220095.1043
Chaluvaraju B, Veena Bankapur
. Let G = ( V,E ) be a simple graph with no isolated vertices and p ≥ 3. A set D ⊆ V is a dominating set, abbreviated as DS , of a graph G , if every vertex in V − D is adjacent to some vertex in D , while a total dominating set, abbreviated as TDS , of G is a set T ⊆ V such that every vertex in G is adjacent to a vertices in T . A set T is a superlative total dominating set, abbreviated as STDS , of G if V − T is not contains a TDS but it contains a DS of G . The superlative total domination number γ st ( G ) is the minimum cardinality of a STDS of G . In this paper, we initiate a study on γ st ( G ) and its exact values for some classes of graphs. Furthermore, bounds in terms of order, size, degree and other domination related parameters are investigated.
.设 G = ( V,E ) 是一个没有孤立顶点的简单图，且 p ≥ 3。如果 V - D 中的每个顶点都与 D 中的某个顶点相邻，则一个集合 D ⊆ V 是图 G 的支配集，缩写为 DS ，而 G 的总支配集，缩写为 TDS ，是一个集合 T ⊆ V，使得 G 中的每个顶点都与 T 中的顶点相邻。如果 V - T 不包含 TDS，但包含 G 的 DS，则集合 T 是 G 的超总支配集（缩写为 STDS）。超总支配数 γ st ( G ) 是 G 的 STDS 的最小卡片度。本文开始研究 γ st ( G ) 及其在某些图类中的精确值。此外，我们还研究了阶数、大小、度数和其他支配相关参数的边界。
{"title":"SUPERLATIVE TOTAL DOMINATION IN GRAPHS","authors":"Chaluvaraju B, Veena Bankapur","doi":"10.21608/ejmaa.2024.220095.1043","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.220095.1043","url":null,"abstract":". Let G = ( V,E ) be a simple graph with no isolated vertices and p ≥ 3. A set D ⊆ V is a dominating set, abbreviated as DS , of a graph G , if every vertex in V − D is adjacent to some vertex in D , while a total dominating set, abbreviated as TDS , of G is a set T ⊆ V such that every vertex in G is adjacent to a vertices in T . A set T is a superlative total dominating set, abbreviated as STDS , of G if V − T is not contains a TDS but it contains a DS of G . The superlative total domination number γ st ( G ) is the minimum cardinality of a STDS of G . In this paper, we initiate a study on γ st ( G ) and its exact values for some classes of graphs. Furthermore, bounds in terms of order, size, degree and other domination related parameters are investigated.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"27 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140524048","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 : 2024-01-01DOI: 10.21608/ejmaa.2024.253159.1103
Omprakash Sahu, Amitabh Banerjee
. In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of xed points of the Contractive-like mapping in the framework of uniformly convex Banach space.
{"title":"Convergence, Stability, and Data Dependence Results for a new iteration method in Banach Space","authors":"Omprakash Sahu, Amitabh Banerjee","doi":"10.21608/ejmaa.2024.253159.1103","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.253159.1103","url":null,"abstract":". In this paper, we introduce a new iterative process and show that our iteration scheme is faster than other existing iteration schemes with the help of numerical examples. Next, we have established convergence, stability, and data dependency results for the approximation of xed points of the Contractive-like mapping in the framework of uniformly convex Banach space.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"43 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140523037","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 : 2024-01-01DOI: 10.21608/ejmaa.2024.253576.1107
N. Hooda, Monika Sihag, Pardeep Kumar
. In the present paper, we generalize the results of Karapinar and
.在本文中，我们概括了卡拉皮纳尔和
{"title":"Fixed point results via a control function in Super Metric Space","authors":"N. Hooda, Monika Sihag, Pardeep Kumar","doi":"10.21608/ejmaa.2024.253576.1107","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.253576.1107","url":null,"abstract":". In the present paper, we generalize the results of Karapinar and","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"6 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140518594","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 : 2024-01-01DOI: 10.21608/ejmaa.2023.205663.1025
Sadibou Aidara, Bidji Ndiaye, A. B. Sow
. Stochastic averaging for a class of backward stochastic differential equations with fractional Brownian motion, of the Hurst parameter H in the interval (cid:0) 12 , 1 (cid:1) , is investigated under the non-Lipschitz condition. An averaged fractional BSDEs for the original fractional BSDEs is proposed, and their solutions are quantitatively compared. Under some appropriate assumptions, the solutions to original systems can be approximated by the solutions to averaged stochastic systems, both in the sense of mean square and also in probability. The stochastic integral used throughout the paper is the divergence-type integral.
{"title":"Averaging Principle for BSDEs driven by fractional Brownian motion with non Lipschitz coefficients","authors":"Sadibou Aidara, Bidji Ndiaye, A. B. Sow","doi":"10.21608/ejmaa.2023.205663.1025","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.205663.1025","url":null,"abstract":". Stochastic averaging for a class of backward stochastic differential equations with fractional Brownian motion, of the Hurst parameter H in the interval (cid:0) 12 , 1 (cid:1) , is investigated under the non-Lipschitz condition. An averaged fractional BSDEs for the original fractional BSDEs is proposed, and their solutions are quantitatively compared. Under some appropriate assumptions, the solutions to original systems can be approximated by the solutions to averaged stochastic systems, both in the sense of mean square and also in probability. The stochastic integral used throughout the paper is the divergence-type integral.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"26 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139126296","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 : 2024-01-01DOI: 10.21608/ejmaa.2024.249812.1094
Malak M. S. Ba-Ali, Ahmed M. A. El-Sayed, E. Hamdallah
{"title":"On the Pantograph functional equation","authors":"Malak M. S. Ba-Ali, Ahmed M. A. El-Sayed, E. Hamdallah","doi":"10.21608/ejmaa.2024.249812.1094","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.249812.1094","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"3 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140525214","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 : 2024-01-01DOI: 10.21608/ejmaa.2024.243997.1087
S. Bhattacharyya, C. Biswas, T. Biswas
. It is well-known that the fixed point theory plays a very important role in theory and applications. In 2017, Choi et al. [4] introduced the notion of bicomplex valued metric spaces (bi-CVMS) and established common fixed point results for weakly compatible mappings. On the other hand, in 1942, K. Menger [14] initiated the study of probabilistic metric spaces where he replaced the distance function d ( x,y ) by distribution function Fx,y ( t ), where the value of Fx,y ( t ) is interpreted as the probability that the distance between x and y be less than t , t > 0. In this paper, we have used bicomplex-valued metric on a set. We have taken Fx,y ( t ) as the probability that norm of the distance between x and y be less than t , i.e., || d ( x,y ) || < t , t > 0 and initiated menger space with bicomplex valued metric. We also aim to prove certain common fixed point theorems for a pair of weakly compatible mappings satisfying (CLRg) or (E.A) property in this space.
.众所周知，定点理论在理论和应用中起着非常重要的作用。2017 年，Choi 等人[4] 引入了双复值度量空间（bi-CVMS）的概念，并建立了弱兼容映射的常见定点结果。另一方面，1942 年，K. Menger [14] 开始了概率度量空间的研究，他用分布函数 Fx,y ( t ) 代替了距离函数 d ( x,y ) ，其中 Fx,y ( t ) 的值被解释为 x 和 y 之间的距离小于 t , t > 0 的概率。我们把 Fx,y ( t ) 作为 x 和 y 之间距离的规范小于 t 的概率，即 || d ( x,y ) || < t , t > 0，并用双复值度量启动门格尔空间。我们还旨在证明该空间中满足（CLRg）或（E.A）性质的一对弱兼容映射的某些公共定点定理。
{"title":"Common fixed point theorems in connection with two weakly compatible mappings in menger space with bicomplex-valued metric","authors":"S. Bhattacharyya, C. Biswas, T. Biswas","doi":"10.21608/ejmaa.2024.243997.1087","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.243997.1087","url":null,"abstract":". It is well-known that the fixed point theory plays a very important role in theory and applications. In 2017, Choi et al. [4] introduced the notion of bicomplex valued metric spaces (bi-CVMS) and established common fixed point results for weakly compatible mappings. On the other hand, in 1942, K. Menger [14] initiated the study of probabilistic metric spaces where he replaced the distance function d ( x,y ) by distribution function Fx,y ( t ), where the value of Fx,y ( t ) is interpreted as the probability that the distance between x and y be less than t , t > 0. In this paper, we have used bicomplex-valued metric on a set. We have taken Fx,y ( t ) as the probability that norm of the distance between x and y be less than t , i.e., || d ( x,y ) || < t , t > 0 and initiated menger space with bicomplex valued metric. We also aim to prove certain common fixed point theorems for a pair of weakly compatible mappings satisfying (CLRg) or (E.A) property in this space.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"24 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140524303","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 : 2024-01-01DOI: 10.21608/ejmaa.2024.226939.1054
S. Shinde, R. Pathak
{"title":"EXISTENCE AND UNIQUENESS OF COMMON FIXED POINT SOLUTION FOR INTEGRAL EQUATION VIA COMPLEX VALUED METRIC SPACE USING CLASS FUNCTION.","authors":"S. Shinde, R. Pathak","doi":"10.21608/ejmaa.2024.226939.1054","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.226939.1054","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"42 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140527151","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 : 2024-01-01DOI: 10.21608/ejmaa.2024.191354.1090
H. Waghamore, N. B. N.
. In this research article, we have studied the results of P. Sahoo and H. Karmakar, intending to determine, in any manner, whether it is possible to relax the nature of sharing by replacing the shift of non-constant transcendental entire functions of finite order with the product of shift. In this direction, we have investigated the uniqueness of shift difference polynomials of two entire functions when they share a non-zero polynomial with a finite weight and one being the Mobius transformation of the other satisfying n ≥ 2 d − σ +3, and also when they share a small function with a finite weight satisfying n ≥ m + σ + 5 . We also investigate the same situation when the original functions f and g share the value zero counting multiplicities (CM) satisfying n > 2(Γ 1 + d ) − σ. Our results in this paper extend and generalizes the previous results of P. Sahoo and H. Karmakar [Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2017, 52 (2), pp. 102-110].
.在这篇研究文章中，我们研究了 P. Sahoo 和 H. Karmakar 的结果，意在以任何方式确定是否有可能通过用移位乘积代替有限阶非常数超越整个函数的移位来放松共享的性质。在这个方向上，我们研究了两个全函数的移差多项式的唯一性，当它们共享一个具有有限权重的非零多项式，且其中一个是另一个的莫比斯变换，满足 n ≥ 2 d - σ +3 时，以及当它们共享一个具有有限权重的小函数，满足 n ≥ m + σ + 5 时。我们还研究了当原始函数 f 和 g 共享满足 n > 2(Γ 1 + d ) - σ 的零计数乘法（CM）值时的相同情况。我们在本文中的结果扩展并概括了 P. Sahoo 和 H. Karmakar 先前的结果[《当代数学分析期刊》（亚美尼亚科学院），2017 年，52 (2)，第 102-110 页]。
{"title":"UNIQUENESS RESULTS ON DIFFERENCE PRODUCT OF ENTIRE FUNCTIONS","authors":"H. Waghamore, N. B. N.","doi":"10.21608/ejmaa.2024.191354.1090","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.191354.1090","url":null,"abstract":". In this research article, we have studied the results of P. Sahoo and H. Karmakar, intending to determine, in any manner, whether it is possible to relax the nature of sharing by replacing the shift of non-constant transcendental entire functions of finite order with the product of shift. In this direction, we have investigated the uniqueness of shift difference polynomials of two entire functions when they share a non-zero polynomial with a finite weight and one being the Mobius transformation of the other satisfying n ≥ 2 d − σ +3, and also when they share a small function with a finite weight satisfying n ≥ m + σ + 5 . We also investigate the same situation when the original functions f and g share the value zero counting multiplicities (CM) satisfying n > 2(Γ 1 + d ) − σ. Our results in this paper extend and generalizes the previous results of P. Sahoo and H. Karmakar [Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2017, 52 (2), pp. 102-110].","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"21 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140518325","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 : 2024-01-01DOI: 10.21608/ejmaa.2023.234555.1066
Gurpreet Kaur
. In recent years, the problem of finding the sharp radii bounds for certain properties in geometric function theory has attracted several researchers. However, there are several instances where only lower bounds for the radius problems have been established. In this paper, we have worked in a similar direction to compute the upper bounds in these cases which coincides with the conjectured values. Moreover, explicit functions are provided which yield that these bounds are attainable.
{"title":"UPPER BOUNDS FOR RADIUS PROBLEMS INVOLVING RATIOS OF ANALYTIC FUNCTIONS","authors":"Gurpreet Kaur","doi":"10.21608/ejmaa.2023.234555.1066","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.234555.1066","url":null,"abstract":". In recent years, the problem of finding the sharp radii bounds for certain properties in geometric function theory has attracted several researchers. However, there are several instances where only lower bounds for the radius problems have been established. In this paper, we have worked in a similar direction to compute the upper bounds in these cases which coincides with the conjectured values. Moreover, explicit functions are provided which yield that these bounds are attainable.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"18 11","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139129600","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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