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Minimum-norm fixed point of nonexpansive mappings with applications
Abstract:The purpose of this paper is to present two new iterative algorithms to find the minimum norm fixed point of nonexpansive nonself-mappings in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding ones announced by Yao and Xu Yao Y, Xu HK. Iterative methods for finding minimum norm fixed point of mappings with applications. Optimization. 2011;60:645–658] and many others. Some applications to convex minimization and split feast problems(SFP) are also included.
Keywords:minimum-norm fixed point  strong convergence  nonoexpansive nonself-mappings  Meir-Keeler contraction  metric projection
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