New Fixed Point Theorems via Contraction Mappings in Complete Intuitionistic Fuzzy Normed Linear Space

Nabanita Konwar (), Ayhan Esi () and Pradip Debnath
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Nabanita Konwar: Department of Mathematics, North Eastern Regional Institute of Science and Technology, Nirjuli, Arunachal Pradesh 791109, India
Ayhan Esi: #x2020;Department of Mathematics, Science and Art Faculty, Adiyaman University, TR-02040 Adiyaman, Turkey
Pradip Debnath: #x2021;Department of Applied Science and Humanities, Assam University, Silchar, Cachar, Silchar 788011, India

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 01, 65-83

Abstract: Contraction mappings provide us with one of the major sources of fixed point theorems. In many mathematical models, the existence of a solution may often be described by the existence of a fixed point for a suitable map. Therefore, study of such mappings and fixed point results becomes well motivated in the setting of intuitionistic fuzzy normed linear spaces (IFNLSs) as well. In this paper, we define some new contraction mappings and establish fixed point theorems in a complete IFNLS. Our results unify and generalize several classical results existing in the literature.

Keywords: Intuitionistic fuzzy normed linear space; contractive mapping; fixed point on complete intuitionistic fuzzy normed linear space (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S1793005719500042

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