C∗-algebra-valued metric spaces and related fixed point theorems

By Congcong Shen, Lining Jiang, Zhenhua Ma. Fixed Point Theory and Applications, 2014

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Based on the concept and properties of C∗-algebras, the paper introduces a concept of C∗-algebra-valued metric spaces and gives some fixed point theorems for self-maps with contractive or expansive conditions on such spaces. As applications, existence and uniqueness results for a type of integral equation and operator equation are given. MSC:47H10, 46L07.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7cec3b8541f5616af735f2e4eeb45bcd5c16b647