Abstract
The aim of this paper is to obtain a general result for existence of common fixed points for a sequence of multi-valued mappings on a K-quasimetric space endowed with a graph. This will enable us to present a simultaneous generalization of various types of fixed point theorems in the literature. In particular, we show that some fixed point theorems in metric spaces can be generalized to 2-quasimetric spaces.. We also provided an example to show that our results are genuine generalization of some old results.
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Acknowledgements
The authors would like to thank the anonymous reviewer for careful reading of the manuscript and useful suggestions. This research was supported by a Grant from Ferdowsi University of Mashhad (No. 2/50723).
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Hosseini, B., Mirmostafaee, A.K. Generalized contractions for a sequence of multi-valued mappings. J. Fixed Point Theory Appl. 22, 23 (2020). https://doi.org/10.1007/s11784-020-0759-y
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DOI: https://doi.org/10.1007/s11784-020-0759-y