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Commun. Korean Math. Soc. 2020; 35(4): 1107-1121
Online first article August 13, 2020 Printed October 31, 2020
https://doi.org/10.4134/CKMS.c190388
Copyright © The Korean Mathematical Society.
Common fixed point for generalized multivalued mappings via simulation function in metric spaces
Swati Antal, U. C. Gairola
H. N. B. Garhwal University, BGR Campus; H. N. B. Garhwal University, BGR Campus
The purpose of this paper is to introduce the notion of generalized multivalued $\mathcal{Z}$-contraction and generalized multivalued Suzuki type $\mathcal{Z}$-contraction for pair of mappings and establish common fixed point theorems for such mappings in complete metric spaces. Results obtained in this paper extend and generalize some well known fixed point results of the literature. We deduce some corollaries from our main result and provide examples in support of our results.
Keywords: Complete metric space, multivalued mapping, generalized $\mathcal{Z}$-contraction for pair of mappings, generalized Suzuki type $\mathcal{Z}$-contraction for pair of mappings, simulation function, common fixed point
MSC numbers: Primary 47H10, 54H25
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