1. Invariant approximation for fuzzy nonexpansive mappings
- Creator:
- Beg, Ismat and Abbas, Mujahid
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- fuzzy normed space, strictly convex fuzzy normed space, fixed point, fuzzy nonexpansive mapping, fuzzy best approximation, and fuzzy Banach mapping
- Language:
- English
- Description:
- We establish results on invariant approximation for fuzzy nonexpansive mappings defined on fuzzy metric spaces. As an application a result on the best approximation as a fixed point in a fuzzy normed space is obtained. We also define the strictly convex fuzzy normed space and obtain a necessary condition for the set of all t-best approximations to contain a fixed point of arbitrary mappings. A result regarding the existence of an invariant point for a pair of commuting mappings on a fuzzy metric space is proved. Our results extend, generalize and unify various known results in the existing literature.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public