总拟-φ-渐近非扩张映象不动点的混合广义f-投影方法

Hybrid generalized f-projection method for totally quasi-φ-asymptotically nonexpansive mappings

介绍了一个新的混合广义f-投影方法逼近一族一致总拟-φ-渐近非扩张映象的公共不动点.利用Kadec-Klee性质,在一致光滑且严格凸的Banach空间中,建立了关于一致总拟-φ-渐近非扩张映象公共不动点的强收敛定理,所得结论改进并统一了该领域已有的一些研究成果.

We introduce a new hybrid generalized f-projection method for finding a common element of the fixed point set of a countable family of totally quasi-φ- asymptotically nonexpansive mappings. We prove the strong convergence theorems of new iterative algorithms under some suitable conditions in a uniformly smooth and strictly convex real Banach space with the Kadec-Klee property.Results extend and unify the previously known results announced by many other authors.