Journal of Fixed Point Theory and Applications, Volume (22), No (1), Year (2020-2)

Title : ( Generalized contractions for a sequence of multi-valued mappings )

Authors: boshra hosseini , Seyyed Alireza Kamel Mirmostafaee ,

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Abstract

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.

Keywords

, Fixed points, set-valued operators, graph.
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@article{paperid:1081785,
author = {Hosseini, Boshra and Kamel Mirmostafaee, Seyyed Alireza},
title = {Generalized contractions for a sequence of multi-valued mappings},
journal = {Journal of Fixed Point Theory and Applications},
year = {2020},
volume = {22},
number = {1},
month = {February},
issn = {1661-7738},
keywords = {Fixed points; set-valued operators; graph.},
}

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%0 Journal Article
%T Generalized contractions for a sequence of multi-valued mappings
%A Hosseini, Boshra
%A Kamel Mirmostafaee, Seyyed Alireza
%J Journal of Fixed Point Theory and Applications
%@ 1661-7738
%D 2020

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