Abstract
In this paper, we introduce the notion of \(C^*\)-algebra-valued partial metric space which is more general than partial metric space. Some fixed point results using C-class functions on such spaces are obtained. Moreover, some illustrated examples are also provided.
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Acknowledgements
The third author (CP) was supported by the Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education, Science and Technology (NRF-2017R1D1A1B04032937).
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Communicating Editor: T S S R K Rao
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Chandok, S., Kumar, D. & Park, C. \(\varvec{C}^{\varvec{*}}\)-algebra-valued partial metric space and fixed point theorems. Proc Math Sci 129, 37 (2019). https://doi.org/10.1007/s12044-019-0481-0
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DOI: https://doi.org/10.1007/s12044-019-0481-0