New iteration process for approximating fixed points in Banach spaces

Journal of Linear and Topological Algebra

مقاله 4، دوره 08، شماره 04، اسفند 2019، صفحه 237-250   

نوع مقاله: Research Paper

نویسندگان

J. D. Bhutia^{* 1}؛ K. Tiwary²

¹Department of Mathematics‎, ‎Cooch Behar College‎, ‎Cooch Behar‎, ‎West Bengal‎, ‎Pin Code 736101‎, ‎India

²Department of Mathematics‎, ‎Raiganj University‎, ‎Raiganj‎, ‎Pin Code 733134‎, ‎India

چکیده

‎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.

کلیدواژه‌ها

Iteration process؛ Suzuki generalized nonexpansive mappings؛ uniformly convex Banach space؛ fixed point

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