Journal of Prime Research in Mathematics

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

Sundus Shahzeen\(^{a,*}\), Maqbool Ahmed\(^a\), Liliana Guran\(^b\)
\(^a\) Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan.
\(^b\) Vasile Goldis” Western University of Arad, Romania.
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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.


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