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Generalized contractions for a sequence of multi-valued mappings

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… Click to show full 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.

Keywords: sequence multi; multi valued; valued mappings; fixed point

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2020

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