On vector valued pseudo metrics and applications
In this article, we will introduce a new concept of gauge spaces induced by a family of vector valued pseudo metrics. After this, we will also prove some results to ensure the existence of fixed points of self mappings. As an application of our result, we will give an existence theorem to ensure the...
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2018-12-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809218300692 |
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doaj-eadc20ae384542788c790eeed219244b2020-11-25T02:17:15ZengElsevierTransactions of A. Razmadze Mathematical Institute2346-80922018-12-011723309317On vector valued pseudo metrics and applicationsMuhammad Usman Ali0Mihai Postolache1Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, PakistanCenter for General Education, China Medical University, Taichung 40402, Taiwan; Gh. Mihoc-C. Iacob Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy, Bucharest 050711, Romania; Department of Mathematics and Computer Science, University Politehnica of Bucharest, Bucharest 060042, Romania; Corresponding author at: Department of Mathematics and Computer Science, University Politehnica of Bucharest, Bucharest 060042, Romania.In this article, we will introduce a new concept of gauge spaces induced by a family of vector valued pseudo metrics. After this, we will also prove some results to ensure the existence of fixed points of self mappings. As an application of our result, we will give an existence theorem to ensure the existence of solutions of n different integral equations. Keywords: Vector gauge space, Ordered vector space ordered metric space, Order-convergent and order-Cauchy sequenceshttp://www.sciencedirect.com/science/article/pii/S2346809218300692 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Muhammad Usman Ali Mihai Postolache |
| spellingShingle |
Muhammad Usman Ali Mihai Postolache On vector valued pseudo metrics and applications Transactions of A. Razmadze Mathematical Institute |
| author_facet |
Muhammad Usman Ali Mihai Postolache |
| author_sort |
Muhammad Usman Ali |
| title |
On vector valued pseudo metrics and applications |
| title_short |
On vector valued pseudo metrics and applications |
| title_full |
On vector valued pseudo metrics and applications |
| title_fullStr |
On vector valued pseudo metrics and applications |
| title_full_unstemmed |
On vector valued pseudo metrics and applications |
| title_sort |
on vector valued pseudo metrics and applications |
| publisher |
Elsevier |
| series |
Transactions of A. Razmadze Mathematical Institute |
| issn |
2346-8092 |
| publishDate |
2018-12-01 |
| description |
In this article, we will introduce a new concept of gauge spaces induced by a family of vector valued pseudo metrics. After this, we will also prove some results to ensure the existence of fixed points of self mappings. As an application of our result, we will give an existence theorem to ensure the existence of solutions of n different integral equations. Keywords: Vector gauge space, Ordered vector space ordered metric space, Order-convergent and order-Cauchy sequences |
| url |
http://www.sciencedirect.com/science/article/pii/S2346809218300692 |
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AT muhammadusmanali onvectorvaluedpseudometricsandapplications AT mihaipostolache onvectorvaluedpseudometricsandapplications |
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