Fixed point approximation of nonexpansive mappings on a nonlinear domain

Safeer Hussain Khan

doi:10.1155/2014/401650

Fixed point approximation of nonexpansive mappings on a nonlinear domain

Safeer Hussain Khan

Mathematics and Statistics

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Abstract

We use a three-step iterative process to prove some strong and Δ -convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain. Three-step iterative processes have numerous applications and hyperbolic spaces contain Banach spaces (linear domains) as well as CAT(0) spaces. Thus our results can be viewed as extension and generalization of several known results in uniformly convex Banach spaces as well as CAT(0) spaces. © 2014 Safeer Hussain Khan.

Original language	English
Journal	Abstract and Applied Analysis
Volume	2014
Issue number	Issue
DOIs	https://doi.org/10.1155/2014/401650
State	Published - 2014

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AB - We use a three-step iterative process to prove some strong and Δ -convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain. Three-step iterative processes have numerous applications and hyperbolic spaces contain Banach spaces (linear domains) as well as CAT(0) spaces. Thus our results can be viewed as extension and generalization of several known results in uniformly convex Banach spaces as well as CAT(0) spaces. © 2014 Safeer Hussain Khan.

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Fixed point approximation of nonexpansive mappings on a nonlinear domain

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