The Finite Family \(L\)-Lipschitzian Suzuki-Generalized Nonexpansive Mappings

Cholatis Suanoom, Kittikorn Sriwichai, Chakkrid Klin-Eam, Wongvisarut Khuangsatung


In this paper, we propose and analyze a \(L\)-Lipschitzian Suzuki-generalized nonexpansive mapping on a nonempty subset of a hyperbolic space and prove \(\Delta\)-convergence theorems and convergence theorems for a \(L\)-Lipschitzian Suzuki-generalized nonexpansive mapping in a hyperbolic space.


Fixed point set; \(L\)-Lipschitzian Suzuki-generalized nonexpansive mappings; Iteration and hyperbolic spaces

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