In this paper, a common fixed point theorem for four mappings in cone metric spaces over Banach algebras is proved without assuming the normality of underlying cone. The results of this paper unify, generalize and extend some known results in cone metric spaces over Banach algebras. An example is presented which shows the significance of the result proved herein.
{"title":"Common Fixed Point theorem in Cone Metric Spaces Over Banach Algebras","authors":"S. K. Malhotra, P. K. Bhargava, S. Shukla","doi":"10.37896/sr7.7/010","DOIUrl":"https://doi.org/10.37896/sr7.7/010","url":null,"abstract":"In this paper, a common fixed point theorem for four mappings in cone metric spaces over Banach algebras is proved without assuming the normality of underlying cone. The results of this paper unify, generalize and extend some known results in cone metric spaces over Banach algebras. An example is presented which shows the significance of the result proved herein.","PeriodicalId":188412,"journal":{"name":"Theory and Applications of Mathematics & Computer Science","volume":"110 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133421364","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 : 2014-11-01DOI: 10.6084/M9.FIGSHARE.1502557.V1
Octavian Cira, F. Smarandache
The first prime number with the special property that its addition with reversal gives as result a prime number toois 229. The prime numbers with this property will be called Luhn prime numbers. In this article we intend to presenta performing algorithm for determining the Luhn prime numbers. Using the presented algorithm all the 50598 Luhnprime numbers have been, for p prime smaller than 2 · 107.
{"title":"Luhn Prime Numbers","authors":"Octavian Cira, F. Smarandache","doi":"10.6084/M9.FIGSHARE.1502557.V1","DOIUrl":"https://doi.org/10.6084/M9.FIGSHARE.1502557.V1","url":null,"abstract":"The first prime number with the special property that its addition with reversal gives as result a prime number toois 229. The prime numbers with this property will be called Luhn prime numbers. In this article we intend to presenta performing algorithm for determining the Luhn prime numbers. Using the presented algorithm all the 50598 Luhnprime numbers have been, for p prime smaller than 2 · 107.","PeriodicalId":188412,"journal":{"name":"Theory and Applications of Mathematics & Computer Science","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129659190","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}
In this paper, we study the univalence conditions for a new integral operator defined by Al-Oboudi differential operator. Many known univalence conditions are written to prove our main results. Keywords: Analytic functions, general Schwarz Lemma, differential operator. 2000 MSC: 30C45, 30C75.
{"title":"Univalence Conditions for a New Integral Operator","authors":"L. Stanciu","doi":"10.12816/0005961","DOIUrl":"https://doi.org/10.12816/0005961","url":null,"abstract":"In this paper, we study the univalence conditions for a new integral operator defined by Al-Oboudi differential operator. Many known univalence conditions are written to prove our main results. Keywords: Analytic functions, general Schwarz Lemma, differential operator. 2000 MSC: 30C45, 30C75.","PeriodicalId":188412,"journal":{"name":"Theory and Applications of Mathematics & Computer Science","volume":"126 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131945061","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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