Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces

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Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces

Khan, Safeer Hussain; Abbas, Mujahid
URI: http://hdl.handle.net/2263/43599
Date: 2014-09

Abstract:

In this paper, we introduce an iteration scheme for two multivalued maps in Kohlenbach hyperbolic spaces. This extends the single-valued iteration process due to Agarwal et al. (J. Nonlinear Convex Anal. 8(1):61-79, 2007). Using this new algorithm, we approximate common fixed points of two multivalued mappings through △-convergence and strong convergence under some weaker conditions. A necessary and sufficient condition is given for strong convergence.

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