Revista de la
Unión Matemática Argentina
Multidimensional common fixed point theorems for multivalued mappings in dislocated metric spaces
Deepa Karichery and Shaini Pulickakunnel
Volume 62, no. 2 (2021), pp. 275–293    

https://doi.org/10.33044/revuma.1403

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Abstract

Motivated by the $F$-contraction introduced by Wardowski [Fixed Point Theory Appl. 2012, 2012:94], we introduce three types of multidimensional Ciric-type rational $F$-contractions for multivalued mappings in dislocated metric spaces. Using these contractions, we establish fixed points of $N$-order for multivalued mappings. Our result generalizes the main result obtained by Rasham et al. [J. Fixed Point Theory Appl. 20 (2018), no. 1, Paper no. 45].