On the Convergence of Two Iterative Methods for k-strictly Pseudo-contractive Mappings in Cat(0) Spaces

Authors: A. Şahin, M. Başarır

Abstract: In this paper, we prove the demiclosedness principle for k -strictly pseudo-contractive mappings and establish the Δ - convergence theorem of the cyclic algorithm for such mappings in CAT(0) spaces. Also, we give the strong convergence theorem of the modified Halpern iteration for k -strictly pseudo-contractive mappings in CAT(0) spaces. Our results extend and improve the corresponding recent results announced by many authors in the literature.

Pages: 24-30

DOI: 10.46300/91019.2022.9.7

International Journal of Pure Mathematics, E-ISSN: 2313-0571, Volume 9, 2022, Art. #7