Open AccessFixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition
Author(s) -
Nilakshi Goswami,
Bijoy Patir
Publication year - 2021
Publication title -
proyecciones
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.226
H-Index - 12
eISSN - 0717-6279
pISSN - 0716-0917
DOI - 10.22199/issn.0717-6279-3333
Subject(s) - mathematics , metric space , fixed point , convexity , fixed point theorem , class (philosophy) , metric (unit) , discrete mathematics , convergence (economics) , convex metric space , pure mathematics , fuzzy logic , mathematical analysis , computer science , artificial intelligence , operations management , financial economics , economics , economic growth
In this paper we prove some fixed point theorems in fuzzy metric spaces for a class of generalized nonexpansive mappings satisfying Bγ,µ condition. We introduce a type of convexity in fuzzy metric spaces with respect to an altering distance function and prove convergence results for some iteration schemes to the fixed point. The results are supported by suitable examples.