Some New Results for the J-Iterative Scheme in Kohlenbach Hyperbolic Space

Authors : Aynur ŞAHİN, Metin BASARIR

Pages : 210-219

View : 27 | Download : 12

Publication Date : 2022-10-31

Article Type : Research Paper

Abstract :In the present paper, we study the J-iterative scheme of Bhutia and Tiwary insert ignore into journalissuearticles values(J. Linear Topol. Algebra, 8insert ignore into journalissuearticles values(4);, insert ignore into journalissuearticles values(2019);, 237-250); in Kohlenbach hyperbolic space. We prove the weak w^2-stability and data dependence theorems of this iterative scheme for contraction mappings. We also give some △-convergence and strong convergence theorems for generalized α-nonexpansive mappings and finite families of total asymptotically nonexpansive mappings using J-iterative scheme. The results presented here can be viewed as a generalization of several well-known results in CATinsert ignore into journalissuearticles values(0); space and uniformly convex Banach space.
Keywords : data dependence, fixed point, hyperbolic space, J iterative scheme, strong convergence, weak w^2 stability, delta convergence