Research Article

Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process

Volume: 5 Number: 1 April 30, 2022
EN

Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process

Abstract

In this paper we introduce a new iteration process for approximation of fixed points. We numerically compare convergence behavior of our iteration process with other iteration process like M-iteration process. We also prove weak and strong convergence theorems for generalized $\alpha-$nonexpansive mappings by using new iteration process. Furthermore we give an example for generalized $\alpha-$nonexpansive mapping but does not satisfy $(C)$ condition.

Keywords

Uniformly convex Banach spaces , iteration processes , generalized $\alpha-$nonexpansive mappings , fixed point , convergence

References

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APA
Temir, S., & Korkut, Ö. (2022). Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process. Journal of Mathematical Sciences and Modelling, 5(1), 35-39. https://doi.org/10.33187/jmsm.993823
AMA
1.Temir S, Korkut Ö. Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process. Journal of Mathematical Sciences and Modelling. 2022;5(1):35-39. doi:10.33187/jmsm.993823
Chicago
Temir, Seyit, and Öznur Korkut. 2022. “Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process”. Journal of Mathematical Sciences and Modelling 5 (1): 35-39. https://doi.org/10.33187/jmsm.993823.
EndNote
Temir S, Korkut Ö (April 1, 2022) Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process. Journal of Mathematical Sciences and Modelling 5 1 35–39.
IEEE
[1]S. Temir and Ö. Korkut, “Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process”, Journal of Mathematical Sciences and Modelling, vol. 5, no. 1, pp. 35–39, Apr. 2022, doi: 10.33187/jmsm.993823.
ISNAD
Temir, Seyit - Korkut, Öznur. “Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process”. Journal of Mathematical Sciences and Modelling 5/1 (April 1, 2022): 35-39. https://doi.org/10.33187/jmsm.993823.
JAMA
1.Temir S, Korkut Ö. Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process. Journal of Mathematical Sciences and Modelling. 2022;5:35–39.
MLA
Temir, Seyit, and Öznur Korkut. “Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process”. Journal of Mathematical Sciences and Modelling, vol. 5, no. 1, Apr. 2022, pp. 35-39, doi:10.33187/jmsm.993823.
Vancouver
1.Seyit Temir, Öznur Korkut. Approximating Fixed Points of Generalized $\alpha-$Nonexpansive Mappings by the New Iteration Process. Journal of Mathematical Sciences and Modelling. 2022 Apr. 1;5(1):35-9. doi:10.33187/jmsm.993823