Some fixed point theorems via $\widetilde{G}$-rational contractive mappings in ordered modified $G$-metric spaces

Vahid Parvaneh, Nawab Hussain, Seyyed Jalaleddin Hosseini Ghoncheh, Farhan Golkarmanesh

Abstract


In this paper, recalling the structure of modified $G$-metric spaces(as a generalization of both $G$-metric and $G_b$-metric spaces), we present   the notions of $\widetilde{G}$-rational contractive mappings  and investigate the existence of fixedpoint for such mappings. We also provide examples and  anapplication  to illustrate the results presented herein.

Keywords


Fixed point, complete metric space, ordered $G$-metric space.

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