arXiv Analytics

Sign in

arXiv:1506.02868 [math.FA]AbstractReferencesReviewsResources

Approximation of fixed points for a representation of nonexpansive mappings in Banach spaces

Ebrahim Soori

Published 2015-06-09Version 1

The purpose of this paper is to study an implicit scheme for a representation of nonexpansive mappings on a closed convex subset of a smooth and uniformly convex Banach space with respect to a left regular sequence of means defined on an appropriate space of bounded real valued functions of the semigroup. This algorithm extends the algorithm that introduced in [N. Hussain, M. L. Bami and E. Soori, An implicit method for finding a common fixed point of a representation of nonexpansive mappings in Banach spaces, Fixed Point Theory and Applications 2014, 2014:238].

Comments: 17 pages
Categories: math.FA
Subjects: 47H09, 47H10
Related articles: Most relevant | Search more
arXiv:1704.05704 [math.FA] (Published 2017-04-19)
Existence and approximation of fixed points of vicinal mappings in geodesic spaces
arXiv:1405.5183 [math.FA] (Published 2014-05-20)
On the stability of the existence of fixed points for the projection-iterative methods with relaxation
arXiv:1201.1536 [math.FA] (Published 2012-01-07, updated 2014-03-11)
Uniqueness of the fixed point of nonexpansive semidifferentiable maps

Links

Toolbox