Fixed Point Approximations of a Family of α-nonexpansive Mappings in CAT(0) Spaces

Authors

  • Sundus Shahzeen Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan.
  • Maqbool Ahmed Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan.
  • Liliana Guran Vasile Goldis” Western University of Arad, Romania.

Keywords:

CAT(0) space, Common Fixed Points, Halpern iteration, Semigroups

Abstract

In this article, the results deal with the strong convergence of Halpern iteration in CAT(0) spaces. The study revolves around finding a fixed point for nonexpansive mappings, which are also the metric projection points in CA(0) space.Moreover, the strong convergence of Halpern iteration for α-nonexpansive mapping sequence is also given.Our results extend some known results which appeared in the literature.

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Published

2022-06-30

Issue

Vol. 18 No. 1 (2022): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

Fixed Point Approximations of a Family of α-nonexpansive Mappings in CAT(0) Spaces. (2022). Journal of Prime Research in Mathematics, 18(1), 7 – 17. https://jprm.sms.edu.pk/index.php/jprm/article/view/185