一致凸Banach空间中渐近非扩张半群不动点的粘性逼近

Viscosity Approximation of Fixed Point for Asymptotically Nonexpansive Semigroups in Uniformly Convex Banach Spaces

在具有一致凸性质的一致G可微范数的Banach空间中,通过隐粘性迭代方法和显粘性逼近方法,证明了渐进非扩张半群公共不动点的强收敛定理.所得结论改进和推广了相关结果.

In this paper,under the framework of an uniformly convex Banach space with a uniformly Gateaux differentiable norm,strong convergence theorems for common fixed points of asymptotically nonexpansive semigroups are obtained by using implicit and explicit viscosity approximation methods.The results obtained in this paper improve and extend the corresponding results.