Fixed point theorems in a new type of modular metric spaces
Abstract In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space. Then we present some examples showing that the generalized modular...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-12-01
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| Series: | Fixed Point Theory and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13663-018-0650-3 |
| Summary: | Abstract In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space. Then we present some examples showing that the generalized modular metric space includes some kind of metric structures. Finally, we provide some fixed point results for both contraction and quasicontraction type mappings on generalized modular metric spaces. |
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| ISSN: | 1687-1812 |