Abstract
We first provide new sufficient conditions for the existence of minima of functions defined on 0-complete partial metric spaces. We then apply the obtained results to derive some fixed point results for single-valued and set-valued mappings that improve and generalize several well-known results in the literature. Examples are given to illustrate our findings.
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Acknowledgement
The authors are grateful to the anonymous referee for valuable comments and suggestions which improved the original manuscript. The proof of Lemma 2.4 was suggested by the referee.
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Hoc, N.H., Nguyen, L.V. Existence of minima of functions in partial metric spaces and applications to fixed point theory. Acta Math. Hungar. 168, 345–362 (2022). https://doi.org/10.1007/s10474-022-01279-2
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DOI: https://doi.org/10.1007/s10474-022-01279-2