K-一致凸弱双曲空间上渐近非扩张映射的不动点

摘要

含有k-一致凸性单调模的k-一致凸弱双曲空间是包含一致凸赋范空间和CAT(0)空间的一致凸弱双曲空间的自然归纳.针对这个空间,我们研究讨论k一致凸弱双曲空间以及其上渐近非扩张映射的不动点存在性问题.这些结果也同样推广了一致凸弱双曲空间和CAT(0)空间上相应的近期的一些理论结果.%K-uniformly convex W-hyperbolic spaces with monotone modulus of k-uniform convexity are natural generalization of uniformly convex W-hyperbolic spaces which contain both of uniformly convex normed spaces and CAT(0) spaces.We discuss some properties of K-uniformly convex W-hyperbolic spaces and the existence of fixed points for asymptotically nonexpansive mappings.These results extend the corresponding recent results in uniformly convex W-hyperbolic spaces and CAT(0) spaces.