Title of article
On some fixed points properties and convergence theorems for a Banach operator in hyperbolic spaces
Author/Authors
Adebayo Mebawondu, Akindele School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal - Durban, South Africa , Olakunle Jolaoso, Lateef School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal - Durban, South Africa , Anuoluwapo Abass, Hammed School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal - Durban, South Africa
Pages
14
From page
293
To page
306
Abstract
In this paper, we prove some fixed points properties and demiclosedness principle for a Banach opera-
tor in uniformly convex hyperbolic spaces. We further propose an iterative scheme for approximating
a fixed point of a Banach operator and establish some strong and ∆-convergence theorems for such
operator in the frame work of uniformly convex hyperbolic spaces. The results obtained in this paper
extend and generalize corresponding results on uniformly convex Banach spaces, CAT(0) spaces and
many other results in this direction.
Keywords
Banach operator , uniformly convex hyperbolic spaces , strong and ∆-convergence theorem
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2442412
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