2023
DOI: 10.3934/math.2023058
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On existence results of Volterra-type integral equations via $ C^* $-algebra-valued $ F $-contractions

Abstract: <abstract><p>It is a fact that $ C^* $-algebra-valued metric space is more general and hence the results in this space are proper improvements of their corresponding ideas in standard metric spaces. With this motivation, this paper focuses on introducing the concepts of $ C^* $-algebra-valued $ F $-contractions and $ C^* $-algebra-valued $ F $-Suzuki contractions and then investigates novel criteria for the existence of fixed points for such mappings. It is observed that the notions examined herein… Show more

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