不动点问题和零点问题的公共元的具误差的迭代算法
On Iterative Algorithms of Common Elements for Fixed Point Problems and Zero Point Problems
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摘要: 在自反的严格凸的具有K-K性质的光滑Banach空间中，设计了一种新的具误差的投影算法，用以逼近拟φ非扩张映射的不动点集和极大单调算子的零点集的公共元素，并利用所设计的算法证明了公共元的强收敛定理。作为应用，给出寻找凸泛函的极小值问题。Abstract: In this paper ,a new projection method with errors for finding common elements of the set of fixed points of a quasi-φ-nonexpansive mapping and the set of zero points of a maximal monotone operator has been studied .A strong convergence theorem of common elements has been established by means of new analysis techniques in the setting of reflexive ,strictly convex ,smooth Banach spaces with the proper-ty(K) .As applications ,the problems of finding a minimizer of a convex function has also been considered .
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