Common Fixed Points of Two Mappings regarding a Generalized -Distance over a Banach Algebra

[摘要] In this article, applying the concept of a generalized - distance in cone - metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. Our results are interesting, since they are not equivalent to former well-known results regarding a - distance in - metric spaces while they contain recent results corresponding to a generalized - distance in cone - metric spaces.

[学科分类] 护理学