J. Fixed Point Theory Appl. (2020) 22:23 https://doi.org/10.1007/s11784-020-0759-yc©Springer Nature Switzerland AG 2020Journal of Fixed Point Theoryand ApplicationsGeneralized contractions for a sequenceof multi-valued mappingsBoshra Hosseini and Alireza Kamel MirmostafaeeAbstract.The aim of this paper is to obtain a general result for existenceof common fixed points for a sequence of multi-valued mappings on aK-quasimetric space endowed with a graph. This will enable us to presenta simultaneous generalization of various types of fixed point theoremsin the literature. In particular, we show that some fixed point theoremsin metric spaces can be generalized to 2-quasimetric spaces.. We alsoprovided an example to show that our results are genuine generalizationof some old results.

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