Title of article :
Approximating common fixed points of total asymptotically nonexpansive mappings in CAT(0) spaces
Author/Authors :
Fukhar-ud-din ، Hafiz - King Fahd University of Petroleum and Minerals , Khan ، Abdul Rahim - King Fahd University of Petroleum and Minerals , Hussain ، Nawab - King Abdul Aziz University
Abstract :
We introduce and study convergence of a one-step iterative algorithm for a finite family of total asymptotically nonexpansive mappings on a CAT(0) space. Our results are new in Hilbert spaces as well as CAT(0) spaces; in particular, an analogue of Rhoades weak convergence theorem [B. E. Rhoades, Bull. Austral. Math. Soc., 62 (2000), 307–310] is established both for Δ-convergence and strong convergence in CAT(0) spaces.
Keywords :
CAT(0) space , total asymptotically nonexpansive mapping , one , step iterative algorithm , common fixed point , Δ , convergence , strong convergence
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications
