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Volume 20 (2024)
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JP Journal of Fixed Point Theory and Applications
JP Journal of Fixed Point Theory and Applications
Volume 3, Issue 2, Pages 149 - 166 (August 2008)
ON NOOR ITERATIONS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Yishuai Yang (P. R. China) and Yunan Cui (P. R. China)
Abstract:
In a real Banach space, we consider the problem of the convergence of the Noor iterative sequences for asymptotically nonexpansive mappings. Under suitable conditions, it was proved that the iterative sequence converges strongly to a fixed point which is also a solution of certain variation inequality. The results presented in this paper also extend and improve some recent results.
Keywords and phrases:
asymptotically nonexpansive mapping, Noor iterations, fixed points, uniformly Gâteaux differentiable norm.
Communicated by Biagio Ricceri
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