{"title":"Banach代数上锥度量空间的公共不动点定理","authors":"S. K. Malhotra, P. K. Bhargava, S. Shukla","doi":"10.37896/sr7.7/010","DOIUrl":null,"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":0.0000,"publicationDate":"2019-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":null,\"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\":0.0000,\"publicationDate\":\"2019-03-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Theory and Applications of Mathematics & Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37896/sr7.7/010\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theory and Applications of Mathematics & Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37896/sr7.7/010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Common Fixed Point theorem in Cone Metric Spaces Over Banach Algebras
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.
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