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

Authors

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

Keywords:

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

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.

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Published

2019-03-13

Issue

Vol. 13

Section

Vol. 13, No. 3, (2019)

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