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Start Over Creator Beg, Ismat

1. An iteration process for nonlinear mappings in uniformly convex linear metric spaces

Creator:
Beg, Ismat
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
linear metric space, fixed point, and uniformly convex
Language:
English
Description:
We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. 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