Banach空间中关于相对非扩张映射和逆强单调映射的强收敛定理

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Strong Convergence Theorems for Relatively Nonexpansive Mappings and Inverse-Strongly-Monotone Mappings in a Banach Space

College of Mathematics and Computer, Hebei University, Baoding, Hebei 071002, P. R. China

摘要: 在Banach空间引进一迭代序列来逼近两个集合的公共点，这两个集合分别是相对非扩张映射的不动点集和关于逆强单调映射的变分不等式的解集．表明这一迭代序列强收敛到这两个集合的公共点．
- 相对非扩张映射 /
- 广义投影 /
- 逆强单调 /
- 变分不等式 /
- p-一致凸
Abstract: An iterative sequence is introduced for finding a common element of the set of fixed points of a relatively nonexpansive mapping and the set of solutions of the variational inequality for an inverse-strongly-monotone mapping in a Banach space.Then it is shown that the sequence converges strongly to a common element of two sets.Results improve and extend the corresponding results announced by many others.
- relatively nonexpansive mapping /
- generalized projection /
- inverse-strongly-monotone /
- variational inequality /
- p-uniformly convex

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