期刊
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
卷 118, 期 2, 页码 417-428出版社
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1025407607560
关键词
nonexpansive mappings; inverse strongly-monotone mappings; variational inequalities; fixed points
In this paper, we introduce an iteration process of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for an inverse strongly-monotone mapping, and then obtain a weak convergence theorem. Using this result, we obtain a weak convergence theorem for a pair of a nonexpansive mapping and a strictly pseudo-contractive mapping. Further, we consider the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of an inverse strongly-monotone mapping.
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