Common fixed points of two multivalued nonexpansive maps by a one-step implicit algorithm in hyperbolic spaces

Authors

  • S. H. Khan Department of Mathematics, Statistics & Physics, Qatar University, Doha 2713, Qatar Author
  • H. Fukhar-ud-din Department of Mathematics & Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia and Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan Author
  • A. Kalsoom Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan Author

Keywords:

Common fixed point, hyperbolic space, implicit algorithm, multivalued nonexpansive map, strong convergence, $\triangle$-convergence

Subjects:

47A06, 47H09, 47H10, 49M05

Abstract

In this paper, we construct an implicit algorithm for twomultivalued nonexpansive maps in a hyperbolic space and use it toapproximate common fixed points of these maps through $\triangle$-convergence and strong convergence.

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Published

2014-10-15

Issue

Vol. 66 No. 4 (2014): Vol. 66, Issue 4

Section

Articles

License

Copyright (c) 2014 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.