New iteration process for approximating fixed points in Banach spaces
Subject Areas : Fixed point theory
1 - Department of Mathematics, Cooch Behar College, Cooch Behar, West Bengal, Pin Code 736101, India
2 - Department of Mathematics, Raiganj University, Raiganj, Pin Code 733134, India
Keywords: fixed point, Iteration process, Suzuki generalized nonexpansive mappings, uniformly convex Banach space,
Abstract :
The object of this paper is to present a new iteration process. We will show that our process is faster than the known recent iterative schemes. We discuss stability results of our iteration and prove some results in the context of uniformly convex Banach space for Suzuki generalized nonexpansive mappings. We also present a numerical example for proving the rate of convergence of our results. Our results improves many known results of the existing literature.
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