Fixed points of weakly K-nonexpansive mappings and a stability result for fixed point iterative process with an application

Fixed points of weakly K-nonexpansive mappings and a stability result for fixed point iterative process with an application

Abstract In this article, we introduce a new type of non-expansive mapping, namely weakly K-nonexpansive mapping, which is weaker than non-expansiveness and stronger than quasi-nonexpansiveness. We prove some weak and strong convergence results using weakly K-nonexpansive mappings. Also, we define w...

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Bibliographic Details
Main Authors: Sayantan Panja, Kushal Roy, Marija V. Paunović, Mantu Saha, Vahid Parvaneh
Format: Article
Language:English
Published: SpringerOpen 2022-07-01
Series:Journal of Inequalities and Applications
Subjects:
Weakly K-nonexpansive and weakly ( α , K ) $(\alpha ,K)$ -nonexpansive mappings
Suzuki’s Condition (C)
Generalized α-nonexpansive mapping
Strong and weak convergence theorems
Stability result
JF-iterative scheme
Online Access:https://doi.org/10.1186/s13660-022-02826-9

Internet

https://doi.org/10.1186/s13660-022-02826-9

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