Fixed Point Approximation of Generalized Nonexpansive Mappings in Hyperbolic Spaces

Jong Kyu Kim, Ramesh Prasad Pathak, Samir Dashputre, Shailesh Dhar Diwan, Rajlaxmi Gupta
2015 International Journal of Mathematics and Mathematical Sciences  
We prove strong and Δ-convergence theorems for generalized nonexpansive mappings in uniformly convex hyperbolic spaces using S-iteration process due to Agarwal et al. As uniformly convex hyperbolic spaces contain Banach spaces as well as CAT(0) spaces, our results can be viewed as extension and generalization of several well-known results in Banach spaces as well as CAT(0) spaces.
doi:10.1155/2015/368204 fatcat:6lwowfnn2nb5ljhliipsism3te