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

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Authors

Khan, Safeer Hussain
Abbas, Mujahid

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SpringerOpen

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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Keywords

Hyperbolic space, Multivalued nonexpansive map, Strong convergence, Common fixed point, △-convergence

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Citation

Khan, SH & Abbas, M 2014, 'Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces', Fixed Point Theory and Applications, vol. 2014, art. #181, pp. 1-11.