Common Fixed Point for Generalized Multivalued maps via Simulation function in Metric Space
Commun. Korean Math. Soc.
Published online August 13, 2020
Swati Antal and U. C. Gairola
Hemvati Nandan Bahuguna Garhwal University Srinagar (Uttarakhand)
Abstract : The purpose of this paper is to introduce the notion of generalized multivalued Z- contraction and generalized multivalued Suzuki type Z- contraction for pair of maps 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 Z- contraction for pair of maps, generalized Suzuki type Z- contraction for pair of maps, simulation function, common fixed point.
MSC numbers : 47H10, 54H25
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