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系统科学与数学 2010
ITERATION METHODS OF THE COMMON FIXED POINTS FOR A FAMILY OF QUASI (ψ)-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
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Abstract:
The purpose of this article is to propose a new hybrid projection algorithm and prove a strong convergence theorem for a family of quasi $\varphi$-asymptotically nonexpansive mappings by using new analysis techniques. The results hold in reflexive, strictly convex, smooth Banach spaces. The results of this paper improve and extend some existing relative results.