{"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}
{"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}
{"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}
{"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}
{"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}
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}
{"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}
{"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}
{"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}
{"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}