Some new contractive conditions and related fixed point theorems in intuitionistic fuzzy n-Banach spaces

Article type: Research Article

Authors: Konwar, Nabanita | Debnath, Pradip^{; *}

Affiliations: Department of Mathematics, North Eastern Regional Institute of Science and Technology, Nirjuli, Arunachal Pradesh, India

Correspondence: [*] Corresponding author. Pradip Debnath, Department of Mathematics, North Eastern Regional Institute of Science and Technology, Nirjuli - 791109, Arunachal Pradesh, India. Tel.: +91 8575 158469; Fax: +91 3602 258533; E-mail: pdn@nerist.ac.in.

Abstract: In this paper we provide three new type of contractive conditions and establish fixed point theorems related to them in the setting of an intuitionistic fuzzy n-Banach space. Our results improve and generalize several classical results existing in literature. Several examples have been provided in support of non-triviality of our results.

Keywords: Intuitionistic fuzzy n-Banach space, contractive mapping, fixed point

DOI: 10.3233/JIFS-171372

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 1, pp. 361-372, 2018