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Ekeland variational principle on intuitionistic fuzzy quasi metric spaces

Author

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  • Riya Dutta
  • Prasun Kumar Nayak

Abstract

Utilising Brézis and Browder principle on partiality ordered sets, we formulate Ekeland variational principle and Takahashi's minimization theorem on intuitionistic fuzzy quasi metric spaces. The existence of solution of equilibrium problem (EP) is also given here. Moreover, Banach fixed point theorem and Caristi-Kirk fixed point theorem are provided in the setting of intuitionistic fuzzy quasi metric spaces.

Suggested Citation

  • Riya Dutta & Prasun Kumar Nayak, 2024. "Ekeland variational principle on intuitionistic fuzzy quasi metric spaces," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 28(1), pages 1-17.
    • Handle: RePEc:ids:ijmore:v:28:y:2024:i:1:p:1-17
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