Convergence theorems and stability results of pointwise asymptotically nonexpansive mapping in Banach space
Authors
Qiansheng Feng
- Department of Mathematics, Tianjin University, Tianjin, 300354, China
Nan Jiang
- Department of Mathematics, Tianjin University, Tianjin, 300354, China
Yongfu Su
- Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China
Abstract
The purpose of this paper is to approximate
the fixed point of pointwise asymptotically nonexpansive mapping
using the generalized Mann and generalized Ishikawa iterative scheme.
And under the condition that the pointwise asymptotically nonexpansive
mapping is compact, the stability results of the two iterative schemes
are studied.
The main results of this paper modify and improve many important recent
results in the literature.
Keywords
- Pointwise asymptotically nonexpansive mapping
- generalized Mann iterative scheme
- generalized Ishikawa iterative scheme
- stability result
- convergence theorem
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