Construction of Approximate Fixed Points Sequence of φ-Asymptotically Nonexpansive Mapping in Banach Space
Zhou Hai-yun
Abstract
Zhou Hai-yun
Abstract
Based on Mann iteration method, the sequence of asymptotically nonexpansive mapping generated by iteration is located in a closed and convex set by using the generalized projection. The strong convergence of the algorithm is proved.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Based on Mann iteration method, the sequence of asymptotically nonexpansive mapping generated by iteration is located in a closed and convex set by using the generalized projection. The strong convergence of the algorithm is proved.
Key concepts: Mathematics, Banach space, Sequence (biology), Regular polygon, Fixed point, Convergence (economics), Projection (relational algebra), Set (abstract data type)