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New iterative schemes for strongly relatively nonexpansive mappings and maximal monotone operators |
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| Authors: | Li Wei Yong-fu Su Hai-yun Zhou |
| Institution: | [1]School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China [2]Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China [3]Institute of Mathematics and Computer Sciences, Hebei Normal University, Shijiazhuang 050016, China |
| Abstract: | In this paper,some new iterative schemes for approximating the common element of the set of fixed points of strongly relatively nonexpansive mappings and the set of zero points of maximal monotone operators in a real uniformly smooth and uniformly convex Banach space are proposed. Some weak convergence theorems are obtained,which extend and complement some previous work. |
| Keywords: | Strongly relatively nonexpansive mapping maximal monotone operator zero point fixed point weak convergence |
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