渐近非扩张映射不动点与均衡解的公共迭代Halpern型方法

The common iterative Halpern’s type method for fixed points and equilibrium solutions of asymptotically nonexpansive mappings

在Hilbert空间中研究了渐近非扩张映射不动点与均衡问题解的公共元的求法,应用Halpern型迭代算法构造了一种新的转型迭代序列,并在较弱的条件下证明了该序列的强收敛性,其结果具有更广泛的适应性,一些近代结果是它的特殊情况.

It was studied the approximation of a common element of the set of solutions of equilibrium problems and fixed points of asymptotically nonexpansive mappings in real Hilbert spaces.By using Halpern′s type iterative algorithm,a new transformation iterative sequence was constructed.Under suitable weaker conditions,the strong convergence of the sequence was obtained.The results had a wider adaptability and include some recent results as their special cases.