Cyclic b-Multiplicative A,B-Hardy–Rogers-Type Local Contraction and Related Results in b-Multiplicative and b-Metric Spaces
The aim of this paper is to define cyclic b-multiplicative Hardy–Rogers-type local contraction in the context of generalized spaces named as b-multiplicative spaces to extend various results of the literature including the main results of Yamaod et al. In this way, we apply a new generalized contrac...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/2460702 |
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| Summary: | The aim of this paper is to define cyclic b-multiplicative Hardy–Rogers-type local contraction in the context of generalized spaces named as b-multiplicative spaces to extend various results of the literature including the main results of Yamaod et al. In this way, we apply a new generalized contractive condition only on a closed set instead of a whole set and by using b-multiplicative space instead of multiplicative metric space. We apply our results to obtain new results in b-metric spaces. Examples are given to show the usability of our results, when others cannot. |
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| ISSN: | 2314-4629 2314-4785 |