Some fixed point theorems on nonlinear contractive mappings in Hilbert space
The purpose of this paper is to establish the existence and uniqueness of a common fixed point for a pair of continuous self mappings over a closed subset of Hilbert space satisfying certain nonlinear rational type contraction condition. Further this result is extended and generalized for some posit...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
EJAAM
2020-06-01
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| Series: | E-Journal of Analysis and Applied Mathematics |
| Subjects: | |
| Online Access: | https://ejaam.org/articles/2020/10.2478-ejaam-2020-0001.pdf |
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| Summary: | The purpose of this paper is to establish the existence and uniqueness of a common fixed point for a pair of continuous self mappings over a closed subset of Hilbert space satisfying certain nonlinear rational type contraction condition. Further this result is extended and generalized for some positive integers powers of a pair of continuous self mappings and then is devolved for a sequence of continuous self mappings in the Hilbert space. Our results generalize and extend many well known results in the literature. |
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| ISSN: | 2544-9990 |