Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme

Abstract

Recently, Khaleel et al. presented the innovative cyclic contractions of the Chatterjea and Kannan type and derived certain results with the help of Picard’s iterative scheme in the context of $G$-metric spaces. Motivated by these new contractions, certain fixed point results are obtained in $G_b$-metric spaces using Mann’s iterative scheme. An example is provided to elaborate the results obtained. An application is given to validate the results.