Ekeland variational principle on intuitionistic fuzzy quasi metric spaces

Riya Dutta and Prasun Kumar Nayak

International Journal of Mathematics in Operational Research, 2024, vol. 28, issue 1, 1-17

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.

Keywords: intuitionistic fuzzy quasi metric space; Ekeland variational principle; Banach contraction principle; Caristi-Kirk fixed point theorem; Takahashi's minimisation theorem; equlibrium point. (search for similar items in EconPapers)
Date: 2024
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