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We introduce a new nonlinear mapping generated by a finite family of nonexpansive mappings.
where This mapping is called the mapping generated by and.
In this article, we introduce a new mapping generated by infinite family of nonexpansive mapping and infinite real numbers.
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In 2009, Kangtunyakarn and Suantai [21] introduced the S-mapping generated by a finite family of κ-strictly pseudo contractive mappings and real numbers as follows: Definition 2.1.
where W n is the W-mapping generated by (2.1).
Let be the K-mapping generated by and.
The mapping is called the K-mapping generated by and.
Such a mapping is called the K-mapping generated by and ; see [32].
Such a mapping is called the W-mapping generated by and.
Such a mapping T is called the T-mapping generated by and.
IfTis theT-mapping generated by and, then andTis a quasi-nonexpansive mapping.
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