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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-12-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809218300692 |
| Summary: | 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 |
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| ISSN: | 2346-8092 |