Picard-Jungck Operator for a Pair of Mappings and Simulation Type Functions
In this manuscript, we propose a new class of Picard-Jungck operators for a pair of mappings on complete metric spaces by taking into account of the <inline-formula> <math display="inline"> <semantics> <msub> <mi mathvariant="script">C</mi> <...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-05-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/7/5/461 |
| Summary: | In this manuscript, we propose a new class of Picard-Jungck operators for a pair of mappings on complete metric spaces by taking into account of the <inline-formula> <math display="inline"> <semantics> <msub> <mi mathvariant="script">C</mi> <mi mathvariant="script">G</mi> </msub> </semantics> </math> </inline-formula>-simulation function. Also, some new results for the existence of such operators for a pair of self mappings in the setting of metric spaces are obtained. Some nontrivial examples are presented to show the usability of the results. |
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| ISSN: | 2227-7390 |