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


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.


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

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