Title: Ekeland variational principle on intuitionistic fuzzy quasi metric spaces

Authors: Riya Dutta; Prasun Kumar Nayak

Addresses: Department of Mathematics, Midnapore College (Autonomous), Midnapore, WB, 721101, India ' Department of Mathematics, Midnapore College (Autonomous), Midnapore, WB, 721101, India

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.

DOI: 10.1504/IJMOR.2024.138530

International Journal of Mathematics in Operational Research, 2024 Vol.28 No.1, pp.1 - 17

Received: 01 Feb 2023
Accepted: 08 Mar 2023
Published online: 09 May 2024 *

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