Convergence of Panigrahy iteration process for Suzuki generalized nonexpansive mapping in uniformly convex Banach space

In this paper, we establish strong and weak convergence theorems for Suzuki's generalized nonexpansive mapping in uniformly convex Banach spaces using the iterative scheme introduced by Panigrahy et al [۹]. Next, we see an example of Suzuki's generalized nonexpansive mapping, which is not a nonexpansive mapping. Using this example and some numerical tests, we infer empirically that the Panigrahy iteration process converges faster than the Krasnoselskij, Thakur, and M-iteration processes.

کلیدواژه ها:

fixed point ، Uniformly convex Banach space ، Suzuki generalized nonexpansive mapping ، Panigrahy iteration ، Convergence Theorem