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

Safeer Hussain Khan, Mujahid Abbas · Fixed Point Theory and Applications · 2014

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. MSC: 47A06, 47H09, 47H10, 49M05.

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